Analytic geometry Essays & Research Papers

Best Analytic geometry Essays

  • Analytic geometry, or analytical geometry
    Analytic geometry, or analytical geometry, has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning. In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which...
    360 Words | 2 Pages
  • Analytic Geometry and Ans - 1682 Words
    CET11 Mathematics Question Bank – Straight Lines, Pair of Lines & Circles A straight line through the point A  3, 4  is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x  3 y  24 Ans: a (b) 3x  4 y  25 (c) x  y  7 (d) 3x  4 y  7  0 Sol: By formula required equation is given by x y   2  4 x  3 y  24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points  3, 5 and  9,3 is...
    1,682 Words | 10 Pages
  • Analytic Geometry and Line Segment
    C OORDINATE GEOMETRY COORDINATE GEOMETRY 155 7 7.1 Introduction In Class IX, you have studied that to locate the position of a point on a plane, we require a pair of coordinate axes. The distance of a point from the y-axis is called its x-coordinate, or abscissa. The distance of a point from the x-axis is called its y-coordinate, or ordinate. The coordinates of a point on the x-axis are of the form (x, 0), and of a point on the y-axis are of the form (0, y). Here is a play for you. Draw a...
    4,274 Words | 31 Pages
  • Analytic Geometry and Section - 3421 Words
    Chapter 2 1. Give a description of the indicated subset of the plane in terms of quadrants. {(x, y) | x < 0, y > 0} A) Quadrant I B) Quadrant II C) Quadrant III D) Quadrant IV Ans: B Section: 2.1 2. Plot the points in a rectangular coordinate system. (5, –2), (–4, 1), (3, 4), (–2, –4) Ans: Section: 2.1 Use the following to answer questions 3-7: 3. Find the coordinates of points A, B, C, and D. Ans: A = (1, 5), B = (–5, 0), C = (–4,...
    3,421 Words | 24 Pages
  • All Analytic geometry Essays

  • Physics: Analytic Geometry and Mass
    The info here came from this site http://faculty.bracu.ac.bd/~mlrahman/EXP4.pdf Principle of Physics (PHY111) Lab Experiment no: 4 Name of the experiment: Determination of the spring constant and effective mass of a given spiral spring Theory In this experiment a spring is suspended vertically from a clamp attached to a rigid frame work of heavy metal rods. At the bottom end (which is the free end) of the spring a load of mass, m0...
    1,186 Words | 6 Pages
  • Analytic Geometry and Simultaneous Equations
    Coordinate geometry The Basics: Find the distance between two points using Pythagoras' theorem. The midpoint is the average (mean) of the coordinates. The gradient = Parallel lines have the same gradient. The gradients of perpendicular lines have a product of -1. Straight Lines: Equation of a straight line is y = mx + c, where m = gradient, c = y-intercept. The equation of a line, if we know one point and the gradient is found using: (y - y1) = m(x - x1) (If given two points, find the...
    262 Words | 1 Page
  • Analytic Geometry and Unit - 1481 Words
    Structured program list. First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units. Second unit: numbering systems. In this unit, we address numbering systems of different cultures until the one’s used current day, highlighting the importance of ten based numbering system (decimal), which will be developed in depth by tackling its properties through the next unit. Unit Three: The...
    1,481 Words | 5 Pages
  • Analytic Geometry and Mark Anthony T.
    1906 - 2006 Republic of the Philippines CAVITE STATE UNIVERSITY (CvSU) DON SEVERINO DE LAS ALAS CAMPUS Indang, Cavite (046) 415-0013 / (046) 415-0012 E-mail: cvsu@asia.com Problem Set (Families of Curves) Submitted by: BSCOE 3-1 Submitted to: Engr. Jaykie Homer P. Hernandez Garces, Johhn Rommel T. 6. Straight lines at fixed distance p from the origin Ax+By+C=0 C=-Ax-By A+By'=0 A=-By' where x,y=(0,0) P=Ax+By+CA2+B2+C2 P=CA2+B2+C2 PA2+B2+C2=C...
    1,826 Words | 10 Pages
  • Robot Geometry - 975 Words
    The study of robot kinematics, require a unified methodology to identify the variables of a robot's or manipulator's joints and links. Co-ordinate Frames Robotic kinematics depends on the use of right handed cartesian frames of reference. Manipulator Geometry A manipulator consists of two types of joints, connected by a link. Link A link is a solid mechanical structure which connects two joints. The main purpose of a link is to maintain a fixed relationship between the joints at...
    975 Words | 6 Pages
  • Geometry in Real Life - 601 Words
    [pic] Description In this project we try to find situations in daily life where geometrical notions can be effectively used. In particular, in the following examples the student discovers situations in which properties of similar triangles learnt in the classroom are useful. Students need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project, students will...
    601 Words | 4 Pages
  • Role of geometry in daily life
    NTRODUCTION: Geometry is used to know about all kinds of shapes and their properties in our daily life problems. Plane geometry - It is about all kinds of two dimensional shapes such as lines, circles and triangles. Solid geometry - It is about all kinds of three dimensional shapes like polygons, prisms, pyramids, sphere, cylinder. The word Geometry comes from Greek which means earth and metron. Geometry used in variousobjects such as surveying, astronomy, navigation and...
    380 Words | 2 Pages
  • Important Geometry Question - 413 Words
    Question:An architect designs two houses that are shaped and positioned like a part of the branches of the hyperbola whose equation is 625y^2 - 400x^2=250,000, where x and y are in yards. How far apart are the houses at their closeset point? Answers:625y^2 - 400x^2=250,000 y^2 / 20^2 - x^2 / 25^2 = 1 The closest two points on separate branches are the vertices, and their separation is 2 * 20 = 40yd. I find the question a little confusing, though. Question:LORAN (long distance radio...
    413 Words | 1 Page
  • Comparing and Contrasting Euclidean, Spherical, and Hyperbolic Geometries
    When it comes to Euclidean Geometry, Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example, what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However, sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me...
    1,815 Words | 5 Pages
  • Instrumentation & Measurement: Calibration of Straightness and Flatness Laboratory Report
    Contents 1. Summary 1 2. Introduction 1-3 1.1 Least Squares Method 2 1.1.1 Method 2 1.2 Minimum Zone Method 3 2. Objectives 3 3. Apparatus 3-4 4. Procedure 4 5. Results 4-7 5.1 Straightness 4-6 5.2 Flatness 7 6. Discussion 8-10 6.1 Straightness 8 6.2 Flatness 8-9 6.3 Closing error 9-10 7. Conclusion 10 8. References 10 9. Appendices 11-15 9.1 Appendix A-Procedure 11-13 9.2 Appendix B-Certificates of calibration 14-15 1....
    2,110 Words | 11 Pages
  • UNIT ONE QUIZ MATH 110
    UNIT ONE QUIZ MATH 110 Part 1 of 25 - 4.0/ 4.0 Points Question 1 of 25 4.0/ 4.0 Points ]WHERE THE QUESTION SAYS "FEEDBACK" THE ANSWER IS THE ONE ABOVE IT SO NUMBER ONE IS "B" NUMBER TWO IS "B" AND SO ON i DIDN'T MAKE ANY CORRECTION SO BE CAREFUL IN ANSWERING. I ALSO HAVE ANOTHER UNIT ONE QUIZ THAT IS DIFFERENT. I WILL POST THAT ONE TO Choose the location of the point (- 1, - 5) A.Positive x-axis B.Quadrant III In Quadrant III, both coordinates are negative. Feedback: Correct!...
    1,699 Words | 12 Pages
  • Normal and Kinetic Frictional Force I
    Laboratory III: Forces Problem IV: Normal and Kinetic Frictional Force I John Greavu March 13, 2013 Physics 1301W, Professor: Evan Frodermann, TA: Mark Pepin Abstract The dependence of two-dimensional velocity and position components on time as well as whether or not said components are constant was determined. Video was recorded of a ball being projected laterally and data of its flight were plotted. From analyzing the data and the corresponding graphs that followed, it was shown that while...
    1,631 Words | 5 Pages
  • effect of technology on education - 559 Words
    ENGINEERING DRAWING ASSIGNMENT – 1 Instructions: Draw conventionally using scales, instruments and pencils. Give the necessary details in annotations and symbols. Use Drawing book. Write Down the step by step process of it, how you do in AutoCAD Using Commands and write them. 1. Two fixed points A and B are 100mm apart. Trace the complete path of a point P moving (in the same plane as that of A and B) in such a way that, the sum of its distances from A and B is always the same and...
    559 Words | 2 Pages
  • Scalar and Vector Quantities - 716 Words
    SCALAR Quantities Scalar is the measurement of a medium strictly in magnitude. It is a physical quantity that is unchanged by coordinate system rotations or reflections (in Newtonian mechanics), or by Lorentz transformations or space-time translations (in relativity). A scalar is a quantity which can be described by a single number, unlike vectors, tensors, etc. which are described by several numbers which describe magnitude and direction. A related concept is a pseudoscalar, which is...
    716 Words | 3 Pages
  • Theory of Parabolas - 373 Words
    Theory of Parabolas By Amergin McDavid A parabola is designed on a basic formula, Y=ax^2+bx+c, which allows it to achieve a curve not seen in a normal line graphed using a Y=mx+b format. To the left is a graph who’s formula is y=x^2, where a=1, b=0, and c=0. I have isolated the (a) factor to see its effects on the parabola. Below is a graph where I have changed the (a) multiple times. The result is that as the (a) decreases, the mouth of the parabola widens due to the fact that (a) is...
    373 Words | 1 Page
  • Force Vector - 2682 Words
    Engineering Mechanics: Statics in SI Units, 12e 2 Force Vectors Part 2 Copyright © 2010 Pearson Education South Asia Pte Ltd Chapter Objectives • Cartesian vector form • Dot product and angle between 2 vectors Copyright © 2010 Pearson Education South Asia Pte Ltd Chapter Outline 1. 2. 3. 4. 5. Cartesian Vectors Addition and Subtraction of Cartesian Vectors Position Vectors Force Vector Directed along a Line Dot Product Copyright © 2010 Pearson Education South Asia Pte...
    2,682 Words | 16 Pages
  • Hon Algebra 2 Study Guide
    KEY HONORS ALGEBRA 2 B 1. a. d. 2. a. d. a1  3, Semester Exam Review b. b. an  4  an1  an  3  4n 1  an  1  3  n  1  3n  2 c. 805,306,368 1,073,741,823 a1  1 an  an 1  3 c. 178 5370 3. 4624.577 cm3 4. 2805 seats 5. a. 6. a. 3 7. a. 81 b. 8. a. a 4b9 b. 1 3 17 3  7  b. 4 or  3 7  b. 4 1 9 x4 5 c. 24 5 c. x 2...
    1,102 Words | 42 Pages
  • Path planning 2D plotting machine for efficient automated PCB drilling.
    Path planning 2D plotting machine for efficient automated PCB drilling. S.C Alwis, A.S Premarathna, Y.P Fonseka, S.M Samarasinghe J. Wijayakulasooriya ABSTRACT 2D vector plotters are designed to take a pointer to any given coordinate in the xy plane. An application of this plotting device is in PCB drilling. In PCB drilling the location of the drill holes are fed into the system which will drill the PCB at the specified coordinates. The main objective of this project is to be able to...
    2,068 Words | 8 Pages
  • NCERT MATHS NOTES OF STRAIGHT LINES AND CONIC SECTION OF CLASS 11
    EXERCISE 2STRAIGHT LINES Question 1: Write the equations for the x and y-axes. Answer : The y-coordinate of every point on the x-axis is 0. Therefore, the equation of the x-axis is y = 0. The x-coordinate of every point on the y-axis is 0. Therefore, the equation of the y-axis is x = 0. Question 2: Find the equation of the line which passes through the point (–4, 3) with slope . Answer : We know that the equation of the line passing through point , whose slope is m, is . Thus, the...
    11,975 Words | 51 Pages
  • Descartes - 610 Words
     René Descartes René Descartes has been dubbed the "Father of Modern Philosophy", but he was also one of the key figures in the Scientific Revolution of the 17th Century, and is sometimes considered the first of the modern school of mathematics. As a young man, he found employment for a time as a soldier (essentially as a mercenary in the pay of various forces, both Catholic and Protestant). But, after a series of dreams or visions, and after meeting the Dutch philosopher and...
    610 Words | 2 Pages
  • 2 10 Farida Author
    2.10 Question: For the following observations, plot a scatter diagram and indicate what kind of relationship (if any) exists between women's height (inches) and annual starting salary ($1000). Height Salary 64 45 63 40 68 39 65 38 67 42 66 45 65 43 64 35 66 33 Answer: There is no apparent relationship between women height and annual starting salary. To analyze the relationship between two variable such as women height and annual starting salary, I used the quantitative scattered diagram and...
    339 Words | 2 Pages
  • Accelerated Coordinate Algebra - 1494 Words
    Accelerated Coordinate Algebra / Analytic Geometry Part A Dr. Khan, Ph.D., Fall 2012 ekhan@marietta-city.k12.ga.us WHY ARE YOU TAKING THIS COURSE? All Georgia high school students are required to take four years of mathematics. Taking Accelerated Coordinate Algebra / Analytic Geometry Part A is comparable to taking the typical ninth grade course, Coordinate Algebra AND the first half of the tenth grade course, Analytic Geometry. The reason for acceleration of the first three courses is...
    1,494 Words | 6 Pages
  • Ap Statistics Ch. 3 Sec 1 Study Guide
    Introduction: The following study may not be true: Studies show that men that are above average in weight are more likely to have a stroke than people with average weight. Steel structured buildings are less likely to fall then brick-structured buildings. How do we interpret this? Explanatory and Response Variables The three Principles that guide Statistics: 1. Plot the data, and then add numerical summaries. 2. Look for overall patterns and deviations from those patterns. 3. When there’s...
    866 Words | 3 Pages
  • CAD/CAM - 346 Words
    ME 414: CADD&M Assignment-1 1. What do you understand by CAD, CAM and CAE? Shortlist some CAD/CAE tools available for vehicle industry for design. [Categorize them in a tabular form: tool-origin-characteristics-applications]. 2. Explain how a CAD system can interact with manufacturing (CAM) system. How should files be transferred if they are separate software packages? 3. Discuss the principle of FEM & FEA for the optimized design of mechanical components. Enumerate various types of...
    346 Words | 2 Pages
  • Economic Graphs - 2686 Words
    A p p e n d i x GRAPHS IN ECONOMICS Key Concepts Graphing Data Graphs represent quantity as a distance on a line. On a graph, the horizontal scale line is the x-axis, the vertical scale line is the y-axis, and the intersection of the two scale lines is the origin. The three main types of economic graphs are: ♦ Time-series graphs demonstrate the relationship between time, measured on the x-axis, and other variable(s), measured on the y-axis. Time-series graphs show the variable’s level,...
    2,686 Words | 9 Pages
  • irha's essay - 557 Words
    Assignment No. 01 Semester: Spring 2013 CS201: Introduction to Programming Total Marks: 20 Due Date:02/05/2013 Instructions: Please read the following instructions carefully before submitting assignment. It should be clear that your assignment will not get any credit if:  The assignment is submitted after due date.  The submitted assignment does not open or file is corrupt.  Assignment is copied(partial or full) from any source (websites, forums, students, etc) Note: You...
    557 Words | 3 Pages
  • Importance of Electromagnetics - 1002 Words
    EEE 171 Fall 2000 Lecture #1 1 Lecture 1: Importance of Electromagnetics Electricity and magnetism in three dimensions is understood through electromagnetic theory. Even simple circuit theory is founded on electromagnetic principles. DIMENSIONS AND UNITS We will use Système Internationale d'Unités or the SI system of units whose fundamental units are: kilogram, meter, second, Ampere, Kelvin, and Candela for mass, length, time, temperature, and luminous intensity, respectively. We will also...
    1,002 Words | 8 Pages
  • Information on Hyperbolas - 292 Words
    Hyperbolas A hyperbola is the set of all points in a plane whose distances from two fixed points in the plane have a constant difference. The fixed points are the foci of the hyperbola. The line through the foci is the focal axis. The point on the focal axis midway between the foci is the center. The points where the hyperbola intersects its focal axis are the vertices of the hyperbola. The standard for of the hyperbola equation is: x2/a2 – y2/b2 = 1 and this is for when the hyperbola is...
    292 Words | 2 Pages
  • Rene Descartes - 613 Words
    René Descartes By: Geaney Pacursa René Descartes (31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and writer who spent most of his adult life in the Dutch Republic. He has been dubbed the 'Father of Modern Philosophy', and much subsequent Western philosophy is a response to his writings, which are studied closely to this day. In particular, his Meditations on First Philosophy continues to be a standard text at most university philosophy departments. Descartes'...
    613 Words | 2 Pages
  • Forgery Authentication Using Distortion Cue and Fake Saliency Map
    Forgery Authentication Using Distortion Cue and Fake Saliency Map Abstract The widespread availability of photo manipulation software has made it unprecedentedly easy to manipulate images for malicious purposes. Image splicing is one such form of tampering. In recent years, researchers have proposed various methods for detecting such splicing. In this paper, we present a novel method of detecting splicing in images, using discrepancies in motion blur. We use motion blur estimation...
    1,832 Words | 6 Pages
  • econ - 325 Words
    ECN101 Homework 3 Figure 3-1 The following diagram shows two budget lines: A and B. 1. Which of the following could explain the change in the budget line from A to B? a. a decrease in the price of X b. an increase in the price of Y c. a decrease in the price of Y d. More than one of the above could explain this change. Scenario 3-1 Suppose the price of hot wings is $10, the price of beer is $1, and the consumer’s...
    325 Words | 2 Pages
  • Learning Curve - 418 Words
    Learning Curve Primer The concept of a Learning Curve is motivated by the observation (in many diverse production environments) that, each time the cumulative production doubles, the hours required to produce the most recent unit decreases by approximately the same percentage. For example, for an 80% learning curve: If cumulative production doubles from 50 to 100, then the hours required to produce the 100th unit is 80% of that for the 50th unit. The learning curve formula can be...
    418 Words | 3 Pages
  • Triangle and Marks - 617 Words
    Questions: 1] when simplified is: [Marks:1] A. negative and irrational B. negative and rational C. positive and irrational D. positive and rational 2] The value of the polynomial x2 – x – 1 at x = -1 is [Marks:1] A. Zero B. -1 C. -3 D. 1 3] The remainder when x2 + 2x + 1 is divided by (x + 1) is [Marks:1] A. 1 B. 4 C. -1 D. 0 4] In fig., AOB is a straight line, the value of x is: [Marks:1] A. 60° B. 20° C....
    617 Words | 7 Pages
  • essay here - 444 Words
    2.06 Module One Activity Student Name: **Refer to the Module Two Activity Lesson for specific directions** Step 1: Translations and SSS Identify and label three points on the coordinate plane that are a translation of the original triangle. Next, use the coordinates of your translation along with the distance formula to show that the two triangles are congruent by the SSS postulate. You must show all work with the distance formula and each corresponding pair of sides...
    444 Words | 2 Pages
  • Chapter 10 Straight Lines
    ALL CBSE STUFF Class XI Chapter 10 – Straight Lines Maths Exercise 10.1 Question 1: Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and (–4, –2). Also, find its area. 14 Answer Let ABCD be the given quadrilateral with vertices A (–4, 5), B (0, 7), C (5, –5), and D (– 4, –2). Then, by plotting A, B, C, and D on the Cartesian plane and joining AB, BC, CD, and DA, SU M IT © 20 the given quadrilateral can be drawn as To find the area of...
    7,658 Words | 94 Pages
  • ChristopherLothmanGeometryDistanceFor - 285 Words
    Christopher Lothman Geometry Distance Formula: Translation­ A’ (­10, 1) B’ (­2, 1) C’ (­2, 7) Rule: (x, y) ­­> (x ­ 8, y + 4) A2C2 = sqrt(((­2 ­ (­10))^2) + ((7 ­ 1)^2)) = 10 AC = sqrt(((6 ­ (­2))^2) + ((3 ­ (­3))^2)) = 10 A2C2 = AC A2B2 = sqrt(((­2 ­ (­10))^2) + ((1 ­ 1)^2)) = 8 AB = sqrt(((6­ (­2))^2) + ((­3 ­ (­3))^2)) = 8 A2B2 = AB B2C2 = sqrt(((­2 ­ (­2))^2) + ((7 ­ 1)^2)) = 6 BC = sqrt(((6 ­ 6)^2) + ((3 ­ (­3))^2)) = 6 B2C2 = BC ...
    285 Words | 2 Pages
  • TA 50 T 2 Map Reading Polar Coordinates
    NORMTRONICS AUTHOR: SFC NORMAN M. VANCE MAP READING Determine Polar Coordinates Maptech® USGS Topographic Series™, ©Maptech®, Inc. 978-933-3000, www.maptech.com/topo Copyright 2001 Maptech, Polar Coordinates Plot Azimuth from a known point. Plot distance from the know point along the azimuth line. The polar coordinate is at the end of the azimuth/distance line. STEP 1. PLACE THE INDEX MARK OF THE PROTRACTOR AT THE CENTER OF MASS ON THE POINT FROM WHICH YOU ARE MEASURING. PNT 1 STEP...
    260 Words | 3 Pages
  • Non-Uniform Motion Lab About Acceleration and Different Masses
    Introduction The purpose of this experiment is to determine whether a change in mass affects the acceleration of the cart. The independent variable is the mass of the weight and the dependant variable is the acceleration. I do not think there is a control in the experiment because we do not know an absolute result with any of the masses of the weight. Besides, if we used 0g as our control, the cart won’t even move. Hypothesis Under these conditions I believe that the results shown in the...
    1,060 Words | 3 Pages
  • Vector Analysis - 639 Words
    1.1.1 Show how to find A and B, given A+B and A −B. 1.1.2 The vector A whose magnitude is 1.732 units makes equal angles with the coordinate axes. Find Ax,Ay , and Az. 1.1.3 Calculate the components of a unit vector that lies in the xy-plane and makes equal angles with the positive directions of the x- and y-axes. 1.1.4 The velocity of sailboat A relative to sailboat B, vrel, is defined by the equation vrel = vA − vB, where vA is the velocity of A and vB is the velocity of B. Determine the...
    639 Words | 2 Pages
  • buddhism - 3614 Words
     INTRODUCTION Managers perform many complex tasks. They analyze a variety of situations and need to find solutions to them. Each problem begins by: Collecting information. A manager receives information from many sources: One could develop original data, find relevant published reports prepared by various governmental institutions, private firms or colleagues. The government was always a provider of general statistical information regarding the economy, however, the...
    3,614 Words | 16 Pages
  • Graphical Desc - 762 Words
    Graphical Techniques to describe a set of Interval data ( cross-sectional data ) A. Histogram ~ A histogram is created by drawing rectangles whose bases are the class intervals (classes) and and whose heights are the frequencies. Determining number of class intervals No. of Observations No. of Classes 50,000 17 - 20 ~ Alternatively using Sturges's formula No. of class intervals = 1 + 3.3 log(n) where n = No. of observations ~ Determining class interval widths Class width = (Largest...
    762 Words | 3 Pages
  • Sandisk the Ultimate - 300 Words
    TEST PAPER-05 CLASS - XI MATHEMATICS (Straight Line) 1. 2. Find the distance of the point ( 2,3) from the line 12 x − 5 y = 2 Find the equation of a line whose perpendicular distance from the origin is 5 units and angle between the positive direction of the x -axis and the perpendicular is 300. [1] [1] 3. 1 Write the equation of the lines for which tan θ = , where Q is the inclination 2 of the line and x intercept is 4. Find the Angle between the x -axis and the line joining the...
    300 Words | 2 Pages
  • Descartes - 447 Words
    Descartes was the first mathematician to use the notation where the letters at the beginning of the alphabet represent data and the letters at the end of the alphabet to represent variables or unknowns. Descartes’ understanding of algebra was deep. He stated that the number of distinct roots of an equation is equal to the degree of the equation. Descartes was willing to consider negative (he called them false roots) and imaginary roots. He developed a rule for determining the number of...
    447 Words | 2 Pages
  • Physics Vectors - 607 Words
    The principle of a force acting on an object is a widely understood concept. The magnitude of the force acting on the object is a simple number, referred to as a scalar. In order to fully understand the effect of this force on the object, the direction in which the force is being applied must be specified. This combination of a scalar force and a mathematical description of the direction in which the force is acting is referred to as a vector. It is not enough to know that a thousand pounds of...
    607 Words | 2 Pages
  • Statics Tutorial - 303 Words
    ENGR 210 - Statics Tutorial 1 Your Name: Partner’s Names: Section:_____________ _______________________ _________________ _________________ _________________ _________________ _________________ _________________ VECTORS This assignment will introduce the use of the Cartesian Coordinate System, vector notation, and properties of vectors to find corresponding unit vectors and resultant forces. The dot product will also be introduced. Each group will choose the origin of a coordinate system...
    303 Words | 2 Pages
  • Chapt1 Basic Knowledge Of Mechanical Drawing
    Name of the course: Descriptive geometry and mechanical drawing 1. Organization of the course ( 课程安排 ) 2. Introduction of the course Organization of the course • Lectures---44 • Assignments---submitted before the exercise lesson • Assessment (full score is 100) -Assignments (30%)—submitted in time + high quality; performance and contribution in the classroom. -Final examination (70%). Introduction of the course 1.The Characteristic: graphical language for engineering communication 2.Tasks (...
    1,517 Words | 23 Pages
  • Math Paper - 336 Words
    Jesus Toro-Sanchez 03/13/2013 Math 60 Chapter 4 Writing Assignment 1) Explain how to plot a point in the rectangular coordinate system. Give example with your explanation. a. In order to plot a point in the coordinate system, you will need the X coordinate as well as the Y coordinate. For example, the point (3,5) can be plotted be going right on the X axis 3 points, and going up on the Y axis 5 points. Remember the opposite goes for negatives. 2) How many Points are needed to...
    336 Words | 1 Page
  • what - 271 Words
    Unit 5 Assignment 1: Comparing Cell Phone Plans NAME: ____________________________________ Learning Objectives and Outcomes Graph a linear function. Calculate the slope of a line as specified by a linear function. Assignment Requirements Most cell phone carriers offer package deals in which they charge a set monthly fee and provide for a free number of anytime minutes every month. Once the anytime minutes are used up, then they charge a set rate for overage minutes. For this activity,...
    271 Words | 1 Page
  • Mathematic Spm 2006 - 1786 Words
    SPM(U) 2006 : http://mathsmozac.blogspot.com Section A [52 marks] Answer all questions in this section. 1 The Venn diagram in the answer space shows sets P, Q and R such that the universal set, ξ = P ∪ Q ∪ R . On the diagram in the answer space, shade (a) the set P ∪ R , (b) the set (P ∩ R ) ∪ Q ' . [3 marks] Answer: (a) P Q R (b) P R Q 2 Diagram 1 shows a solid cuboid. A cone is removed from this solid. 12 cm 10 cm 15 cm DIAGRAM 1 The diameter of the base of the cone is 7...
    1,786 Words | 13 Pages
  • application of integration - 835 Words
    cbse.entrancei.com APPLICATION OF INTEGRALS - NCERT SOLUTIONS Question 1: Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the xaxis. ANSWER The area of the region bounded by the curve, y2 = x, the lines, x = 1 and x = 4, and the x-axis is the area ABCD. Question 2: Find the area of the region bounded by y2 = 9x, x = 2, x = 4 and the x-axis in the first quadrant. ANSWER 1 www.cbse.entrancei.com cbse.entrancei.com The area of...
    835 Words | 8 Pages
  • Land Surveying - 941 Words
    Application nb.1 SURVEYING CALCULATIONS Delivery date 24.02.2009 Student Application nb.1 Surveying calculations The ensemble of operations in order to obtain plans and maps is known as surneying.Because during land surveying, the calculations involve a large volume of work, it is proper that the way of doing these calculations to be well studied. Application theme In order to establish the position of points, depending on a reference coordinates system, related to the...
    941 Words | 8 Pages
  • 00 CORE 1 MOCK TO June 10
    C1 MOCK PAPER 1. Solve the inequality . (3) 2. Find . (4) 3. Find the value of (a) , (b) , (c) . (1) (2) (1) 4. A sequence is defined by , where k is a constant. (a) Write down an expression for a2 in terms of k. (1) (b) Find a3 in terms of k, simplifying your answer. (2) Given that a3 = 13, (c) find the value of k. (2) 5. (a) Show that eliminating y from the equations 2x + y = 8, 3x2 + xy = 1 produces the equation x2 + 8x - 1...
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