MATH. 241 Exam 3 Fall, 2017 NAME Show your work for full credit and simplify answers when possible. Place your answer in the blank. 1. a. Find the differential dy for the function y= Sehr + 4x,-3x2+4 b. Use a differential to estimate the change in y =f(x)s 2x4 as x changes from 2 to 2.02. c. Find the linear approximation L) to fox) Vr +6 at o 3 L(x) = d. Use your linear approximation in c to approximate the value of 897 (2.97) 2. Suppose x, y and s are differentiable functions of t that are related by the equation s2 = 3x +y2. If dt = 2 and dy = 4, then find dt when x 8 and y-5. ds dt