I need help solving these problems with an explanation to study for my midterm. Any help is appreciated! Thank you!

16. For the following function f(x) = ~lx + 8, a = 1: a+h - a W, to nd the slope of the tangent line mm, = a. Use Equation 3.4,mtan = gins _.) f'(a). b. Find the equation of the tangent line to f at x = a. 36. For the following position function s(t) = t2 2t, an object is moving along a straight line, where _tis in seconds and sis in meters. Find: I a. The simplied expression for the average velocity from t = 2 to t = 2 + h; b. The average velocity between t = 2 and t = 2 + h, where i. h = 0.1 ii. h = 0.01 iii. h = 0.001 iv. h = 0.0001 c. Use the answer from a. to estimate the instantaneous velocity at t = 2 seconds