1. The graph of a function y = √16-(x-5)2 + 3 is given below: Approximate the area under the graph from [0,8] using 4 evenly spaced trapezoids. 4 2. A square-base pyramid has base length x ft and height h. a. Write down an expression for the surface area of the pyramid. b. The surface area of the pyramid is 20 ft². Find an expression for h in terms of x. c. Find an expression for the volume of the pyramid, V(x), in terms of x. d. i. Find V'(x) ii. Hence, find the value of x which maximizes the volume of the pyramid.
1. The graph of a function y = √16-(x-5)2 + 3 is given below: Approximate the area under the graph from [0,8] using 4 evenly spaced trapezoids. 4 2. A square-base pyramid has base length x ft and height h. a. Write down an expression for the surface area of the pyramid. b. The surface area of the pyramid is 20 ft². Find an expression for h in terms of x. c. Find an expression for the volume of the pyramid, V(x), in terms of x. d. i. Find V'(x) ii. Hence, find the value of x which maximizes the volume of the pyramid.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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