Make a change of coordinates:


The Jacobian for this transformation is

and has a determinant of

Note that we need to use the Jacobian in the other direction; that is, we've computed

but we need the Jacobian determinant for the reverse transformation (from

to

. To do this, notice that

we need to take the reciprocal of the Jacobian above.
The integral then changes to

Answer:
Step-by-step explanation:
a°=180°-36°=144° b°=180°-113°=67°
a°=144° and b°=67°
144+67=211
36+113=149
149+211=360
Answer:
Step-by-step explanation:
20 = 8x + 4r can be rewritten in multiple ways.
1. Reduce the coefficients: 5 = 2x + r
or
2. Solve for r: r = 5 - 2x
or
5 - r
3. Solve for x: x = -----------
2
Answer & Step-by-step explanation:
When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

Now, let's use this equation to solve for the rate of change of each question.
<u>Problem 1:</u>

<em>The rate of change of this equation is 2/3</em>
<u>Problem 2:</u>
<u></u>
<u></u>
<em>The rate of change for this equation is 2</em>
<u>Problem 3:</u>
<u></u>
<u></u>
<em>The rate of change for this equation is 6</em>