Question

Find the particular solution of the equation f'(x)=4x^(-1/2) that satisfies the condition f(1) = 12

a. 1/2(4x^1/2)+11
b. 8(x^1/2)+C
c. 2(x^1/2)+10
d. 8(x^1/2)+4
e. none

Answer 1

integrate the f'(x)
to get 8x^1/2 + C
f(1)=12
sub in x=1
then make C the subject
and you get your value of C
the sub in your value for C in the equation you got after integrating

Answer 2

I just want to say \[f(x)=8x^{1/2}+C \neq12\]

Answer 3

sorry i made it equal to twelve when i should have made f(1) equal to 12

Answer 4

oh....