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 (y^2-x^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 (y^2-x^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 0 Note: Your answer should be a number
D. Is F conservative? Type Y if yes, type N if no.

this might get deleted, sorry. it has to be an actual question. if you really wanted to give someone free points, ask a question like "why does the sky look blue, and the sun is yellow to our eyes? "

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: