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Let F Be a Twice Differentiable Function Such That F(0) f′f ^ { \prime }

Question 165

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Let f be a twice differentiable function such that f(0) = 5, f(3) = 1, and f′f ^ { \prime } (3) = −2- 2 . Determine the value of ∫03x⋅f′′(x)dx\int _ { 0 } ^ { 3 } x \cdot f ^ { \prime \prime } ( x ) d x .

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