3132 Use a CAS to evaluate the line integrals along the given curves. (a) Cx7y3 dsC : x
Chapter 15, Problem 32(choose chapter or problem)
use a CAS to evaluate the line integrals along the given curves.
(a) \(\int_{C} x^{7} y^{3} d s\)
\(C: r(t)=e^{t} i+e^{-t} j \quad(0 \leq t \leq \ln 2)\)
(b) \(\int_{C} x^{5} z d x+7 y d y+y^{2} z d z\)
\(\mathrm{C}: \mathrm{r}(\mathrm{t})=\mathrm{t} \mathrm{i}+\mathrm{t}^{2} \mathrm{j}+\ln \mathrm{t} \mathrm{k} \quad(1 \leq \mathrm{t} \leq \mathrm{e})\)
Equation Transcription:
Text Transcription:
integral_C x^7 y^3 ds
C: r(t) = e^t i + e^-t j (0 leq t leq ln 2)
integral_C x^5 z dx + 7y dy + y^2 z dz
C: r(t) = t i + t^2 j + ln t k (1 leq t leq e)
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