Using the given table, evaluate the expression. You may assume that f() and g(x) are continuous functions. 2 4 15 8 11 14 f (z) -11 0 13 12 19 17 -13 -14 17 17 -16 -15 f (a) -14 19 4 -15 5 18 9 (x) -12 4 17 5 8 -10 A. d'(5), where d(x) - x f(x). d'(5) B. p'(8), where p(x) - g(f(x)). P'(8) C. c'(11), where c(x) - f(x). c' (11) D. lim f(x) . g(x) 1 + 4 22 - 16 f(x) . g(x) The limit exists, lim 1 4 2 2 - 16 The limit does not exist.A particle moves on a horizontal line so that its position, in centimeters, at time t, in seconds, is given by s(t) - to - 16.5t- + 54t - 7, with t _ 0. Assuming that the positive direction is to the right: A. Determine the velocity function, v(t) . v(t) = Evaluate v(5) . U (5) Interpret, with a complete sentence and appropriate units, the meaning of v(5) and its value. B. Determine the t -interval(s) when the particle is moving to the right.Consider the function f(a) - 2x 4 sin x on the domain 0, 271]. Use analytic techniques (calculus, algebra, trigonometry) to determine the intervals where the function is increasing and decreasing. Use exact values in your response. f (a) is increasing on f (a) is decreasing on