Consider the function f(x)=(0.01x-1) (x+2)^2 A)Determine the functions average rate of change on -2 B) estimate the instantaneous rate of change at x =2 c) explain why the rates of change have been negative d) give an interval which the rate if change will be increasing

the answers are in the images, i received 100% on this assignment. hope this !

not me

step-by-step explanation:

i wish i did i would like to get a desert ghost ball python

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb