I assume there's a plus sign missing above...
Convert to polar coordinates, using

Then the Jacobian is

Then

so the integral can be written as

Let

, so that

.
The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.
<h3>What is the rate of change?</h3>
The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
A fertilizer covers 5/8 square feet in 1/6 hour.
5/8 square feet ⇒ 1/6 hour
Multiply both sides by 6
6 × 5/8 square feet ⇒ 6/6 hour
30/8 square feet ⇒ 1 hour.
Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".
To learn more about the rate of change here,
brainly.com/question/12786410
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Answer:
The number of whole loaves at each location = 5 loaves
Step-by-step explanation:
This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:
Numer of loaves of bread = 16
number of locations = 3
next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:

This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.
Therefore, the number of whole loaves at each location = 5 loaves
<em>but remember that there will be a remainder of 1 loaf.</em>
Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>
The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>
The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.