10.6 SURFACES IN SPACE EXAMPLE 6.1 Sketching a Surface © The McGraw-Hill Companies‚ Inc. Permission required for reproduction or display. Slide 1 10.6 SURFACES IN SPACE EXAMPLE 6.1 Sketching a Surface Solution Since there are no x’s in the equation‚ the trace of the graph in the plane x = k is the same for every k. This is then a cylinder whose trace in every plane parallel to the yz-plane is the parabola z = y2. © The McGraw-Hill Companies‚ Inc. Permission required for
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Creating Basic 3D Objects 1 Products: AutoCAD 2011 for Mac or later Audience: New users to 3D Prerequisites: Working knowledge of 2D drafting Time to complete: 15 minutes Download the Tutorial File Before beginning the lessons‚ download the tutorial. ■ Download create_basic_3d_objects_acdmac.zip from http://www.autodesk.com/autocadformac-tutorials. In This Tutorial The lessons in this tutorial do not need to be completed in the presented order. In this tutorial‚ you learn how to
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Ellipse Construction‚ ContinuedParallelogramThe parallelogram method of constructing ellipses inscribes the ellipse withinellipsesa parallelogram. You may use conjugate diameters or the major and minoraxes to formulate the parallelogram so long as the sides of the parallelogramare parallel to the diameters or axes. step1ActionGiven the major and minor axes or the conjugate diameters AB andCD‚ draw a rectangle or parallelogram . Make sure all sides are parallel to their respective sides.
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Problem 705 Determine the centroid of the shaded area shown in Fig. P-705‚ which is bounded by the x-axis‚ the line x = a and the parabola y2 = kx. Solution 705 HideClick here to show or hide the solution At (a‚ b) Thus‚ → equation of parabola Differential area Area of parabola by integration Location of centroid from the y-axis (x-intercept of centroid) answer Location of centroid from the x-axis (y-intercept
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MATH 102 FALL 2013 REVIEW FOR THIRD EXAM Graphing Exponential Functions - For each of the following exponential functions: Sketch the graph of the function by first graphing the basic function and then showing one additional graph for each transformation. Label each graph with at least one point‚ its asymptote‚ and its equation. 1. 2. 3. 4. Graphing Logarithmic Functions - For each of the following logarithmic functions: Sketch the graph of the function by
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plot: creates 2d line plot axis: changes aspect ratio of x and y axis x label: annoted the x axis y label: annoted the y axis title: puts the title on the plot title of prog: title(’circle of unit radius’) print: prints the hardcopy of the plot EX: draw a circle of unit radius x and y co ordinates 100 points of the circle the parametric eq is x=cos(t) y=sin(t) theta=linspace(0‚2*pi‚100); axis=’equal’; xlabel(’x’) ylabel(’y’) 1. plot y=sinx range 0 x=linspace(0
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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 the
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The Importance of the Parabola What exactly is a parabola? Well it could quite possibly be the most powerful shape that our world has ever known. It is used in many designs since it is so sturdy and powerful. Countless structures and devices use the parabola and it does nothing but enhance whatever it is used in. What makes it so powerful? Just keep reading and find out. Used in bridges‚ doors and buildings‚ the shape of the parabola is used throughout the world of structures. Most of the time
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KEY HONORS ALGEBRA 2 B 1. a. d. 2. a. d. a1 3‚ Semester Exam Review b. b. an 4 an1 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 or
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The Ethics of Refusing a Caesarean Section April 2004 e -Cases in Ethics * In January of 2004‚ Melissa Ann Rowland—a young woman with a long history of mental illness—refused to undergo a Caesarean section that doctors said was necessary to protect the lives of her unborn twins. Doctors told her that low amniotic fluid and poor growth placed the twins in danger‚ but she refused the surgery until too late‚ reportedly on cosmetic grounds—she is alleged not to have wanted the resulting vertical
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