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Question #1989
Find f.
f '' (x) = 3 - 7x - 38x3
f(0) = 1
f '(0) = 4
f(x) = ___________________
Expert's answer
Let's integrate f'':
f' = 2x - 7/2 x
2
- 19/2 x
4
+C
1
Since f'(0) = 4 C
1
= 4
f = x
2
- 7/6 x
3
-19/10 x
5
+4x + C
2
f(0) =1 , C
2
= 1
f(x) = x
2
- 7/6 x
3
-19/10 x
5
+4x + 1.
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