<span>\int_c\vec f\cdot d\vec r, in two ways, directly and using stokes' theorem. the vector field \vec f = 5 y\vec i - 5 x\vec j and c is the boundary of s, the part of the surface z = 16 -x^2-y^2 above the xy-plane, oriented upward.</span>
Answer:
-3
hope this helps!
Step-by-step explanation:
(-1)3 - (-1) - 1 =
-3 - (-1) - 1 =
-2 - 1 = -3
We know that
Domain:
It is all possible values of x for which any function is defined
we are given function

we can see that our function goes from left to right side
so, domain will be all real numbers
Range:
Range is all possible values of y
we can see that
largest y-value is 4
smallest y-value is -inf ...because it keeps going downward
so, range is
![(-\infty , 4]](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%204%5D)
so, option-C...........Answer
Great job hope you get another rank higher