If the given differential equation is

then multiply both sides by
:

The left side is the derivative of a product,
![\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%3D%20%5Csec%5E2%28x%29)
Integrate both sides with respect to
, recalling that
:
![\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%5C%2C%20dx%20%3D%20%5Cint%20%5Csec%5E2%28x%29%20%5C%2C%20dx)

Solve for
:
.
<u><em>To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?</em></u>
<u><em></em></u>
<u><em>L=length=15.5 ft; W=width; A=area=>170.5 sq ft</em></u>
<u><em></em></u>
<u><em>L*W=>170.5 sq ft Divide each side by L</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>W=>170.5 sq ft/L</em></u>
<u><em></em></u>
<u><em>W=>170.5 sq ft/15.5 ft=>11 feet</em></u>
<u><em></em></u>
ANSWER: To cover at least 170.5 sq ft. the width must be at least 11 feet.
<h2><em><u>
Brainly pls</u></em></h2>
Answer:
<h2>HL</h2>
Step-by-step explanation:
It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.
I'm confident that this is the answer.
Answer:
SOLUTION #1
If the digits are allowed to repeat, the answer is 27. (There are three ways to fill digit 1, three ways to fill digit 2, and three ways to fill digit 3. Therefore, there are 3 x 3 x 3 = 27 possibilities.)
SOLUTION #2
If the digits are NOT allowed to repeat, the answer is 6. (There are three ways to fill digit 1, only two ways to fill digit 2, and only one way to fill digit 3. Therefore, there are 3 x 2 x 1 = 6 possibilities.)
Step-by-step explanation:
Hope this <em><u>Helped!</u></em> :D