Find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative. remember to use absolute values where appropriate.) f(x) = x5 - x3 + 8x - x4

Step-by-step explanation:

Step 1

The first step is to rearrange the function so that powers of x are in descending form as show below,

Step 2

The second step is to realize that the anti derivative is the indefinite integral of the function . We compute the integral and then add the constant C in the end. We will use the result that

on every term of the fraction.

This calculation is shown below,

Step 3

The third step is to verify using differentiation that the indefinite integral is correct. We will do this by differentiating every term of the integral with respect to x as shown below

This shows that the integral is indeed correct.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316