Question

find a function f that satisfies the condition

f''(x) = x^2, f'(0) = , f(0) = 3

this is antiderivatives and indefinite integrals (ie. applications of it)

Answer 1

f''(x)=x^2 implies that
f(x)= x^4/12+Ax+B
f(0)=3 implies that B=3
f'(0)= gap implies A=gap
so the function is f(x)=x^4/12 +gap x+3

Answer 2

:S huh?

Answer 3

I guess you missed out something?

Answer 4

f'(0) =

Answer 5

6

Answer 6

ok than gap=6 :-)

Answer 7

can u write it out w/ out the gap because i still dont see it

Answer 8

f''(x)=x^2 implies that f(x)= x^4/12+Ax+B f(0)=3 implies that B=3 f'(0)=6 implies A=6 so the function is f(x)=x^4/12 +6x+3

Answer 9

if something is not clear just ask

Answer 10

oh ok i get it now lol...thank you sorry my eyes are so blurry