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
The answer would be 89.90558242
If u round it off, the answer will be 90
You have to take $8,550 times 0.12 (12%) to find out the number it is being decreased by.
8,550 x 0.12 = 1,026
And then, you have to subtract 1,026 from 8,550 three times for three years and your answer becomes 5,472.
$5,472
Answer:
-4 and 0
Step-by-step explanation:
Rise over Run would give us the slope.
In the first graph, It goes down 4 while it goes 1 to the right.
This means that -4/1 = -4.
The second graph does not go up or down, meaning 0, while it goes 1 to the right.
This means that 0/1 = 0.
Answer:
4b<30
Step-by-step explanation:
product means multiply so 4•b or 4b
less than so<