Question 10: Assume that a and y are both differentiable functions of t and are related by the equation y = cos (2ac). Find dy dt when * = dx 4 , given dt = -7 when a = Enter the exact answer. dy dtQuestion 7: Compute the values of ally and Ag for the function y : e253 + 39: given :3 : O and Ax 2 d2: = 0.05. Round your answers to tour decimal places, if required. You can use a calculator. spreadsheet, browser, etc. to calculate dy and Ag. dy: Ag: uestion 8: l Use differentials to estimate the value of 416.2. Compare the answer to the exact value of \\4/162. Round your answers to six decimal places, it required. You can use a calculator, spreadsheet, browser, etc. to calculate the exact value. estimate 2 exact value Show your work and explain, In your own words, how you arrlved at your answers. uestion 9: l The radius of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change of the area when the radius is 4 centimeters. P' " answer to one decimal place. e as of the area is . Q&A Show your work and explain, in your own words, how you arrived at your answer. uestlon 6 l 1 7ml6 am: 2 1. Find the linearization of the function f (:13) = L(a:)= Find the true values of f (m) and the approximations using L (:10) below. Round all of your answers to 3 decimal places. You can use a calculator, spreadsheet, browser, etc. to calculate the exact values. I The exact value f(:c I The apprOximate value L(:c