27. [2/3 Points] DETAILS PREVIOUS ANSWERS LARHSCALC2 2.AP.015. MY NOTES ASK YOUR TEACHER Do not use technology. Consider the following table. X f(x) f' (x) g(x) g'(x) 2 -3 2 5 -2 5 4 8 -9 8 (a) If h(x ) = f( x ) find h'(2). g ( x ) h'(2) = 4/25 (b) If j(x) = f(g(x)), find j'(2). j'(2) = -16 (c) If k( x) = vf(x), find k'(5). K'(5) = 4 X Need Help? Read ItC 8 G 8 + 88 28. [3/5 Points] V V DETAILS PREVIOUS ANSWERS W Practice.. UO LARHSCALC2 2.AP.016. G C MY NOTES Do not use technology. ASK YOUR TEACHER PRACTICE ANOTHER The figure below shows the graph of the velocity, in feet per second, for a particle moving along the line x = 4. V(1) 3- 2 3 -3 (a) During which time interval(s) is the particle doing the following? Enter your answer using interval notation. (i) moving upward (4, 5) X (ii) moving downward (0,1) U (2,3) X (iii) at rest (1,2) (b) What is the acceleration of the particle at the following times? (i) t = 0.23 -2 ft/s2