Y(s) For the following transfer function, = F(s) where U(s) = U (s) erive the time function y(t). F(s) = = s(s+1) ³ (s+2)²* HIS

2 2. Consider the function f(x) X -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 I← (i) x = Y a) Find the average rate of change on the following intervals: * € (-2,-21] (ii) x ¤ [−2, −1] -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 -4.5 -5 b) Use the graph to estimate the instantaneous rate of change at x = -2 c) Use the power rule to find f'(-2)

Use the graph of f and g. P(x) = f(x)g(x) %D f(x) q(x) = %3D (x)6 y 10 8. f 6. 4 2. -2 2. 4 9. 10 21 (a) Find p'(2). P'(2) = %3D (b) Find q'(9). (6),b Need Help? Read It Watch It Co

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chessboard. On the second square, the King would place two grains of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, how many grains of wheat should be placed on a square 16​? Also, find the total number of grains of wheat on the board at this time and their total weight in pounds.​ (Assume that each grain of wheat weighs​ 1/7000 pounds.)