97. Geometry Consider a right triangle with a hypotenuse of 6 inches. 6 in. a. Show that the area of the right triangle is given by A(0) = 18 sin 0 cos 0. b. For what value of 0 is A(0) = 8 square inches. c. Without using a graphing utility, find the angle for which A(0) is maximized. If your calculator is in radian mode, convert your final answer to degrees.
97. Geometry Consider a right triangle with a hypotenuse of 6 inches. 6 in. a. Show that the area of the right triangle is given by A(0) = 18 sin 0 cos 0. b. For what value of 0 is A(0) = 8 square inches. c. Without using a graphing utility, find the angle for which A(0) is maximized. If your calculator is in radian mode, convert your final answer to degrees.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![97. Geometry Consider a right triangle with a hypotenuse of 6 inches.
6 in.
0
a. Show that the area of the right triangle is given by A(0) = 18 sin 0 cos 0.
b. For what value of 0 is A(0) = 8 square inches.
c. Without using a graphing utility, find the angle 0 for which A(0) is maximized. If your calculator is in
radian mode, convert your final answer to degrees.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc45dfd55-2702-405b-9288-88cd78d06c07%2F79850481-614e-4bca-868e-d426853fe999%2Ffyq0pob_processed.png&w=3840&q=75)
Transcribed Image Text:97. Geometry Consider a right triangle with a hypotenuse of 6 inches.
6 in.
0
a. Show that the area of the right triangle is given by A(0) = 18 sin 0 cos 0.
b. For what value of 0 is A(0) = 8 square inches.
c. Without using a graphing utility, find the angle 0 for which A(0) is maximized. If your calculator is in
radian mode, convert your final answer to degrees.
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