Problem 4 (12pts) 4. In a time of f seconds, a particle moves a distance of s meters from its starting point, where s = 42+ 3. (a) Find the average velocity between f = 1 and t = 1 + h if: (i) h=0.1, (ii) h=0.01, (iii) h=0.001. (b) Use your answers to part (a) to estimate the instan- taneous velocity of the particle at time f = 1. ANSWER & WORK for #4 Problem 12 (12pts) 12. Match the points labeled on the curve in Figure 2.32 with the given slopes. Slope Point -3 0 1/2 N Figure 2.32Section 2.3 Problem 18-21 (12pts) Match the functions in Problems 18-21 with one of the derivatives in Figure 2.43. 5+ f' (c) F' (x ) -5+ 5+ (N) 5+ f' (xx) -5+ f' (x ) (VI 5+ ' (x ) 18. "+ f (x) 19 2 * f (x ) X f' (xx) -5+ -5+ -5+ -5+ 5+ (VIID 5+ f' (x) \\f'(x) 20. 21. f (x) 2 -5 -5A Figure 2.43 -5+ ANSWER & WORK for #18-21 Complete the following table of matching (every function in 18-21 will have only one matching graph of derivative): Inction 18 19 20 21 Derivative