Please Help me solve this problems, please , i will deeply appreciate this help from you.?

Question

you see, this is take home quiz, and i will fail if i would not answer this correctly, please help me, i would deeply appreciate it, this kind heart of yours..

Help, please help me solve this problem , about a.)Div F b.) Curl c.) Green's Theorem ... ?

1.) F= xy^2 i + 2x^2yz j - 3yz^2 k

find: a.) Div F b.) Curl

2.) e^x cos y i + e^x sin y j

3.) ∫ F(x,y) = xy i - y^2 j

R( t ) = t^2 i + t^3

- <= t <= 1

4.) Green's theorem:

∫c x^2y dx - y^2x dy

(1,1)

(0,0)

Hope for you kind heart, i really dont know nothing about this.

please help me, i would really appreciate this kind heart of yours.

Answer 1

In (2) also do you have to find divergence and curl of F?

What do you have to do in (3)?

And what about 4? Green&#039;s theorem is not a question. What is the question?