Theory and ExamplesProducts of scalar and vector functions

Chapter 13, Problem 40E

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Problem        40E

Theory and Examples

Products of scalar and vector functions Suppose that the scalar function u(t) and the vector function r(t) are both defined for

a. Show that ur is continuous on [a, b] if u and r are continuous on [a, b].

b. If u and r are both differentiable on [a, b], show that ur is differentiable on [a, b] and that

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