Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above.
f(x, y, z) = yzi + 9xzj + exyk, c is the circle x2 + y2 = 1, z = 3.

step-by-step explanation:

the shape,the size and the distance

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: