Questions 5 and 6 please

WRITTEN ASSIGNMENT 3 For the following position function y = s(1) = t - 21, an object is moving along a straight line, where t is n seconds and s is in meters. Find a. the simplified expression for the average velocity from t = 2 to t = 2 + h; b. the average velocity between 1 = 2 and t = 2 + h, where (1) h = 0.1, (1i) h = 0.01. (mii) h = 0.001, and (iv) h = 0.0001; and c. Use the answer from a. to estimate the instantaneous velocity at t = 2 second. 2. For the function f (x) = x3 - 2x? - 11x + 12, do the following. a. Use a graphing calculator to graph fin an appropriate viewing window. b. Use the ZOOM feature on the calculator (or web graphing) to approximate the two values of x = a for which m,,. = f'(a) = 0. 3. For the following exercises, use the definition of a derivative to find f'(x). f( x) = 4x2 4. For the following exercises, use the graph of y = f (x) to sketch the graph of its derivative f'(x). 16 B A -3 -2 O 2 3 5 X 4 12 16 5. Suppose temperature T in degrees Fahrenheit at a height x in feet above the ground is given by y = T(x). a. Give a physical interpretation, with units, of T(x). b. If we know that T (1000) = -0.1, explain the physical meaning. 6. Find the equation of the tangent line T(x) to the graph of the given function at the indicated point. Use a graphing calculator to graph the function and the tangent line. Copyright @ 2021 by Thomas Edison State University. All rights reserved. 227 -0.01x + 400 dollars per gaming