Question: 7.13 This exercise is regarding Example 7.6 in Section 7.4. (i) Show that the functional g(x) = 1 0 x2(t) dt , x

7.13 This exercise is regarding Example 7.6 in Section 7.4.

(i) Show that the functional g(x) =



1 0 x2(t) dt , x ∈ D, is continuous with respect to  · .

(ii) Derive (7.19).

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