The Jacobian for this transformation is
with determinant 
, hence the area element becomes
Then the integral becomes
where 
is the unit circle,
so that
Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.
Then
Answer:
$1612.80
Step-by-step explanation:
<u>Sales Tax</u> would be 0.06 * 21,000 = $1260
<u>Property Tax:</u>
16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.
So the property tax would be 16.80 * 21 = $352.80
Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80
Answer:
10 square centimeters.
Step-by-step explanation:
The area of a rectangle=base*height. 5*2=10 square centimeters.
To find slope, we must find the change in y values divided by the change in x values, also called the rise/run. This is modeled below:
Slope = m = (y1 - y2)/(x1-x2) = (6-(-3))/(1 - (-6)) = (6+3)/(1+6) = 9/7
We can check that this answer is correct by consulting the graph. The graph shows a positive correlation (means that the slope should be positive), and if you count the graph unit squares, you get that the graph moves up 9 squares and over 7 squares between the two points shown, letting us know we got the right answer.
Hope this helps!
The answer is 8/17 because you have to change the fractions to improper fractions then change the division sign to a multiplication sign. Then change the second fraction by flipping the two numbers then multiply and reduce.
