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Please help me with the following questions. 1. On a morning of a day when the sun will pass directly overhead, the shadow of a

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Please help me with the following questions.

1.

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On a morning of a day when the sun will pass directly overhead, the shadow of a 60-ft building on level ground is 45 ft long. At the moment in question, the angle 0 the sun makes with the ground is increasing at the rate of 0.24 /min. At what rate is the shadow decreasing? Remember to use radians in your calculations. Express your answer in inches per minute. 60' The shadow is decreasing at |inches per minute. (Round to one decimal place as needed.)Find the derivative of y with respect to t. y = cos ' (V13t) . . . dy dt (Simplify your answer. Type an exact answer, using radicals as needed.)\fUse logarithmic differentiation to find the derivative of y with respect to x. y = ( In (4x) ) In (4x) dy dxdy Find dt y = (2+ cot 5t)- 3 dy dt

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