Answer:
Step-by-step explanation:
Approximate the integral 
by dividing the region 
with vertices (0,0),(4,0),(4,2) and (0,2) into eight equal squares.
Find the sum 
Since all are equal squares, so 
for every 
Thus, 
Evaluating the iterate integral ![\int\limits^4_0 \int\limits^2_0 {(x+y)} \, dydx=\int\limits^4_0 {[xy+\frac{y^2}{2} ]}\limits^2_0 \, dx =\int\limits^4_0 {[2x+2]}dx\\\\=[x^2+2x]\limits^4_0=24.](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%5Cint%5Climits%5E2_0%20%7B%28x%2By%29%7D%20%5C%2C%20dydx%3D%5Cint%5Climits%5E4_0%20%7B%5Bxy%2B%5Cfrac%7By%5E2%7D%7B2%7D%20%5D%7D%5Climits%5E2_0%20%5C%2C%20dx%20%3D%5Cint%5Climits%5E4_0%20%7B%5B2x%2B2%5D%7Ddx%5C%5C%5C%5C%3D%5Bx%5E2%2B2x%5D%5Climits%5E4_0%3D24.)
Thus, 
You take 3•4 to get 12, then you add a zero to that and get 120. You then multiply by six and get 720.
Let me break this down a little bit:
Joe has a savings account with $422 in it.
He also has a credit card, meaning that whatever he spends on his credit card, he'll have to pay back later.
So far, he has purchased $524 worth of merchandise.
If you subtract $422 from $524 it will equal =$122 he owes.
Therefore, Joes overall balance is reflected as a POSITIVE number.
The $122 dollars is represented as what he owes which would be a NEGATIVE number.
The ultimate answer to this question is POSITIVE.
Hope this helps! :)
If y = 2x, then y/x = 2. The constant of proportionality is 2.
Answer: 16
Step-by-step explanation:
