Maximum Value (a) Evaluate where is the unit circle given by for (b) Find the maximum
Chapter 15, Problem 41(choose chapter or problem)
Maximum Value
(a) Evaluate \(\int_{C_{1}} y^{3} d x+\left(27 x-x^{3}\right) d y\),
where \(C_{1}\) is the unit circle given by \(\mathbf{r}(t)=\cos t \mathbf{i}+\sin t \mathbf{j}\), for \(0 \leq t \leq 2 \pi\).
(b) Find the maximum value of \(\int_{C} y^{3} d x+\left(27 x-x^{3}\right) d y\), where C is any closed curve in the xy-plane, oriented counterclockwise.
Text Transcription:
int_C_1 y^{3} dx + (27x - x^3) dy
C_1
r(t) = cos ti + sin tj
0 leq t leq 2 pi
int_C y^3 dx + (27x - x^3) dy
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer