Title of Project An investigation into a quadratic expression used to represent a parabolic edge in designing a flower garden utilizing calculus to determine the maximum area of the lawn Purpose of the Project Mr. Jack is an avid gardener and he is considering a new design for his garden. He has a rectangular lawn measuring 5 metres by 3 metres and wants to dig up part of it to include a flower bed. He desires to have a parabolic edge for the flower bed as shown below in Figure 1.
Premium Rectangle Gardening Triangle
QUADRATIC FUNCTIONS (WORD PROBLEMS) 1. The area of a rectangle is 560 square inches. The length is 3 more than twice the width. Find the length and the width. Representation: Let L be the length and let W be the width. The length is 3 more than twice the width‚ so The area is 560‚ so Equation: Plug in and solve for W: Solution: Use the Quadratic Formula: Since the width can’t be negative‚ I get . The length is 2. The hypotenuse of a right triangle is 4 times the smallest side. The third
Premium Area Pythagorean theorem Inch
Chapter Test Area Results of the quiz. 1. Find the area of ΔABC. The figure is not drawn to scale. * CORRECT: 23.14 cm2 2. Find the area of a parallelogram with vertices at P(–8‚ –3)‚ Q (–7‚ 3)‚ R(–9‚ 3)‚ and S(–10‚ –3). * CORRECT: 12 square units 3. A slide that is inches by inches is projected onto a screen that is 3 feet by 7 feet‚ filling the screen. What will be the ratio of the area of the slide to its image on the screen? * CORRECT: 1 : 12‚544 4. Find the area of the triangle
Premium Area Regular polygon Circle
Laws of Exponents Here are the Laws (explanations follow): Law | Example | x1 = x | 61 = 6 | x0 = 1 | 70 = 1 | x-1 = 1/x | 4-1 = 1/4 | | | xmxn = xm+n | x2x3 = x2+3 = x5 | xm/xn = xm-n | x6/x2 = x6-2 = x4 | (xm)n = xmn | (x2)3 = x2×3 = x6 | (xy)n = xnyn | (xy)3 = x3y3 | (x/y)n = xn/yn | (x/y)2 = x2 / y2 | x-n = 1/xn | x-3 = 1/x3 | And the law about Fractional Exponents: | | | Laws Explained The first three laws above (x1 = x‚ x0 = 1 and x-1 = 1/x) are just part of
Premium Integer Law
rectangle are parallel and equal in length‚ All angles are equal to 90°. c) Square Opposite sides of a square are parallel and all sides are equal in length‚ All angles are equal to 90°. d) Rhombus All sides of a rhombus are equal in length‚ Opposite sides are parallel‚ Opposite angles of a rhombus are equal‚ The diagonals of a rhombus bisect each other at right angles. Rectangles‚ squares and rhombuses are parallelograms. 2.Other Quadrilaterals Other quadrilaterals
Premium Rectangle Angle
recognizes what a cube looks like‚ able to identify the length of one side‚ know that a cube has six equal sides‚ and the students will needs to be able to calculate the area of a square in order to calculate the surface area of a cube. Students will also need to recall that 3-dimensional objects are measured out in “square units.” Forming the Cube First students will learn that 2-dimensional objects are flat and only deal with length and width; whereas 3-dimensional deal with length‚ width
Premium Volume Dimension Surface area
equiangular (all angles are congruent) and equilateral (all sides have the same length). Regular polygons may be convex or star. (5.01) 1) Describe the figure below. (convex / concave? …) [pic] regular quadrilateral – convex – rhombus - square 2) Describe the figure below. (convex / concave? …) [pic] irregular quadrilateral – convex – trapezoid 3) Describe the figure below. (convex / concave? …) [pic] irregular quadrilateral – concave 4) Describe the figure below
Premium Rectangle Triangle Area
ruler Value: Appreciation III.Learning Experience A.Preparatory Activities 1. Math Song 2. Drill Give the Product 1. 15x3 2. 10x4 3. 11x2 4. 12x4 5. 10x24 3. Review Find the area of the following square. 1. 2. 3 cm 4 cm 3. 4. 2 in 9 in 5. 7 cm B. Developmental Activities 1. Motivation * Do you have a vegetable garden in your backyard? * What vegetables do you have in your garden?
Premium Orders of magnitude Question Rectangle
Michael Brause CMIS 102-6387 May 30‚ 2015 Program description: I calculated the usable area in square feet of a house. Assume that the house has a maximum of four rooms‚ and that each room is rectangular. I wrote pseudo code statements to declare 4 Integers and labeled them homesqft‚ room1‚ room2‚ room3‚ and room4. Each room will have its length and width to calculate its area. Analysis: Test Case # Input Expected Output 1 Room1: length=10‚ width=14 Room2: length=9‚ width=10 Room3: length=12
Premium Algorithm Area Programming language
Conducting a z-Test Psychological Statistics Module 2: Assignment 2 Argosy University Gemini Dickerson 3/12/14 A film was shown to 36 students to see if the attitudes of students toward the mentally ill would change. The results of the class of 36 that watched the film had a score of 70. The results of the class that did not watch the film had a score of 75. The standard deviation is 12. When the alpha is set to 0.05. .05 is a mid-probability. It means we’re using to reduce the likelihood
Premium Hypothesis Null hypothesis Standard deviation