(1 point) let f(x, y)=−yi+xjx2+y2 and let c be the circle r(t)=(cost)i+(sint)j, 0≤t≤2π. a. compute ∂q∂x (-x^2+y^2)/(x^2+y^2)^2 note: your answer should be an expression of x and y; e. g. "3xy - y" b. compute ∂p∂y -[(x^2-y^2)/(x^2+y^2)^2] note: your answer should be an expression of x and y; e. g. "3xy - y" c. compute ∫cf⋅dr note: your answer should be a number d. is f conservative? type y if yes, type n if no.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here

it is x=-4

step-by-step explanation: