Amass that weighs 8lb stretches a spring 6in. the system is acted on by an external force of 8 sine ⁢ left-parenthesis 8 t right-parenthesis. if the mass is pulled down 3in and then released, determine the position of the mass at any time t. assume that the u-axis is directed downwards and g equals 32 ⁢ft/s2. express your answer in as a linear combination of sine ⁢ a ⁢ t ⁢ and cosine ⁢ a ⁢ t

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer: the answer is e

step-by-step explanation: