Asked by Sarah

A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x).
Answered by Writeacher
Oooo -- Jake, Marcus, Sara, Sarah

Pick a name and keep it, please.
Answered by bobpursley
Steve yesterday at 5:55pm

If f" = 10 for all x, then
f' = 10x+c
10*4+c = 0 so c = -40 and f' = 10x-40
f = 5x^2-40x+c
5*2^2-40*2+c = 4 so c=64 and f(x) = 5x^2-40x+64