Use Stokes' Theorem to find begin display style integral subscript C bold F times d bold r end style where bold F (x comma y comma z )equals open angle brackets negative z comma x comma negative x y close angle brackets and C is curve of intersection of the plane y plus z equals 3 and the cylinder x squared plus y squared equals 1, oriented counterclockwise when viewed from above.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

whats the rest of it?

lol   i know im kinda tired too