# Green's Theorem

## Answer

**Answers can be viewed only if**

- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

The answer is accepted.

Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.

- answered
- 81 views
- $5.00

### Related Questions

- Let $ X = x i+ y j+z k$, and $r=||X||$. Prove that $\nabla (\frac{1}{r})=-\frac{X}{r^3}.$
- Compounding interest of principal P, where a compounding withdrawal amount W get withdrawn from P before each compounding of P.
- Explain in detail how you use triple integrals to find the volume of the solid.
- Evaluate $\int \ln(\sqrt{x+1}+\sqrt{x}) dx$
- Compute the curl of $F=(x^2-\sin (xy), z-cox(y), e^{xy} )$
- Gauss's Theorem
- Show that the distance between two nonparallel lines is given by $\frac{|(p_2-p_1)\cdot (a_1\times a_2)|}{|| a_2\times a_1||}$
- Use Green’s theorem to evaluate the line integral $\int_C (1+xy^2)dx-x^2ydy$ on the arc of a parabola

Hi, there must be an error in your question because the second component of the curve simplifies into 3sin(t)

For the curve to be a hypocycloid, r(t) must be (4cos(t)+cos(4t),4sin(t)−sin(4t))

You're right it was a typo mistake.