Math
posted by Anon
Find f.
f ''(x) = 20x3 + 12x2 + 10, f(0) = 9, f(1) = 12

Reiny
integrating once to get
f'(x) = 5x^4 + 4x^3 + 10x + c
check by taking the derivative,
integrate once more to get
f(x) = x^5 + x^4 + 5x^2 + cx + k
now use the two given points:
for f(0) =9
9 = 0+0+0+0+k , so k = 9
for (1,12)
12 = 1+1+5+c+9
c = ...
f(x) = ....
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