If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).

f(x) =  3x⁴ - - 17x +  

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x)  = 3x⁴ - - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1)  = 3(1)⁴ - - 17(1) + C

8 = 3 - - 17 + C

C =8 - 3 + 17 +

C = 22 +  

C =

C =

f(x) =  3x⁴ - - 17x +  

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

tip $2.90

total $17.40