Asked by Amanda Rex
Find f.
fââł(x) = 5ex â 8 sin(x), f(0) = 3, fâ(đ/2)= 0
fââł(x) = 5ex â 8 sin(x), f(0) = 3, fâ(đ/2)= 0
Answers
Answered by
oobleck
f" = 5e^x - 8sinx
f' = 5e^x + 8cosx + c1
f = 5e^x + 8sinx + c1*x + c2
Now use the two conditions to get
5+0+0 c1 + c2 = 3
5e^(Ď/2) + 8 + Ď/2 * c1 + c2 = 0
Now solve for c1 and c2.
f' = 5e^x + 8cosx + c1
f = 5e^x + 8sinx + c1*x + c2
Now use the two conditions to get
5+0+0 c1 + c2 = 3
5e^(Ď/2) + 8 + Ď/2 * c1 + c2 = 0
Now solve for c1 and c2.
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