I'm reading this as

with

.
The value of the integral will be independent of the path if we can find a function

that satisfies the gradient equation above.
You have

Integrate

with respect to

. You get


Differentiate with respect to

. You get
![\dfrac{\partial f}{\partial y}=\dfrac{\partial}{\partial y}[x^2e^{-y}+g(y)]](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20y%7D%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bx%5E2e%5E%7B-y%7D%2Bg%28y%29%5D)


Integrate both sides with respect to

to arrive at



So you have

The gradient is continuous for all

, so the fundamental theorem of calculus applies, and so the value of the integral, regardless of the path taken, is
If this is a combination problem, 325 choose 1, anytime you have a choose 1, the answer it the n, so 325 is the answer.
Answer:
9x + x
Step-by-step explanation:
Answer:
b ≤ -4
Step-by-step explanation:
4b−4≤−20
4b - 4 + 4 ≤ - 20 + 4
4b ≤ -16
Divide both sides by 4
b ≤ -4
Answer:I'm pretty sure it would be C but that might be wrong
Step-by-step explanation: