I need all work shown.

TEST A Chapter 3 (continued) NAME 8. The coordinates s of a moving body for various 8. (a) values of r are given. * (sec) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 s (ft) -19.5 -6 4.5 12 16.5 18 16.5 12 4.5 (a) Plot s versus f, and sketch a smooth curve through the given points. [0, 4] by [-20, 20] (b) Assuming this smooth curve represents the motion (b) f = 1.0: of the body, estimate the velocity at r = 1.0, t = 2.5, 1 = 2.5: and t = 3.5. 1 = 3.5: 9. Find Yify = COS I 9. dx 1 + tan x 10. Find the points on the graph of y = sec x, 0 S x S 25, 10. where the tangent is parallel to the line 3y - 2x = 4. 11. Find for y = sin(x - 1). 11. 12. A curve is parametrizationations x = Vr and 12. y = (1 - 3)". Find an equation of the line tangent to the curve at the point defined by t = 9. 13. Which of the following could be true if f*(1) = -237 13. If(1) = 2,43 II f'(1) = 7- 3+1/3 III. f(1) = -2-5/3 (A) I and II (B) I and III (C) I only (D) III only (E) I, II, and II 14. Use implicit differentiation to find if dx 14. x+ 5xy+ y =8. 15. Find Yify = tan 1() 15. dr 16. Find yify = 4-1+3 16. 17. Which of the following expressions has the same 17. derivative as y = log x? (A) log6 * (B) log 5.x (C) log x2 (D) 3 log x (E) log