Let (mathbf{r}(t)=leftlangle t^{2}(1-t), t(t-1)^{2}ightangle). (a) GU Plot the path (mathbf{r}(t)) for (0 leq t leq 1). (b)

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Let \(\mathbf{r}(t)=\left\langle t^{2}(1-t), t(t-1)^{2}ightangle\).

(a) GU Plot the path \(\mathbf{r}(t)\) for \(0 \leq t \leq 1\).

(b) Calculate the area \(A\) of the region enclosed by \(\mathbf{r}(t)\) for \(0 \leq t \leq 1\) using the formula \(A=\frac{1}{2} \oint_{C}(x d y-y d x)\).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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