Flashlight Problem: You shine a flashlight, making a circular spot of light with radius

Chapter 1, Problem 1

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Flashlight Problem: You shine a flashlight, making a circular spot of light with radius 5 cm on a wall. Suppose that, as you back away from the wall, the radius of the spot of light increases at a rate of 7 cm/sec. b. Find the radius of the spot of light when t = 4 and when t = 10 sec. Use the answers to find the area of the wall illuminated at these two times. c. The area, A(t), illuminated by the light is a function of the radius, and the radius is a function of t. Write an equation for the composite function A(R(t)). Simplify. d. At what time t will the area illuminated be 50,000 cm2?

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