Finding Values Let where is continuous for all real Find (a) (b) (c) and (d) G__0_

Chapter 5, Problem 121

(choose chapter or problem)

Let

\(G(x)=\int_{0}^{x}\left[s \int_{0}^{s} f(t) d t\right] d s\)

where f is continuous for all real t. Find

(a) \(G(0)\),

(b) \(G^{\prime}(0)\),

(c) \(G^{\prime \prime}(x)\), and

(d) \(G^{\prime \prime}(0)\).

Text Transcription:

G(x)=\int_0^x[s \int_0^s f(t) d t] d s

G(0)

G^\prime(0)

G^\prime \prime(x)

G^\prime \prime(0)

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