SOLUTION: the function is such the f'(x)=5-2x^2 and (3,5)is a point on the curve y=f(x).Find f(x)

Algebra ->  Functions -> SOLUTION: the function is such the f'(x)=5-2x^2 and (3,5)is a point on the curve y=f(x).Find f(x)      Log On


   

Question 1051165: the function is such the f'(x)=5-2x^2 and (3,5)is a point on the curve y=f(x).Find f(x)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Integrating,
f%28x%29=5x-%282%2F3%29x%5E3%2BC
Using the point,
5=5%283%29-%282%2F3%29%283%29%5E3%2BC
C=8
So then,
highlight%28f%28x%29=-%282%2F3%29x%5E3%2B5x%2B8%29