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Katarina [22]
3 years ago
15

Answer the questions below. Be sure to mark all answers that apply

Mathematics
1 answer:
Viktor [21]3 years ago
8 0
Is it making sure its divisible perfectly and can it be decimals?
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Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g
eimsori [14]

If the given differential equation is

\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1

then multiply both sides by \frac1{\cos^2(x)} :

\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)

The left side is the derivative of a product,

\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)

Integrate both sides with respect to x, recalling that \frac{d}{dx}\tan(x) = \sec^2(x) :

\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx

\sin(x) y = \tan(x) + C

Solve for y :

\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}.

7 0
2 years ago
2 - 5 <br><br><br> put explanation
Aliun [14]

Answer: -3

Step-by-step explanation: well there is a pretty easy explanation for this because what you pretty much do is you put the answer around by doing 5-2 and just put a negative since the smaller number is in the front.

5 0
3 years ago
Read 2 more answers
A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting
Ganezh [65]

Answer:

a: 2.234

Step-by-step explanation:

i checked after i took the test. its right, enjoy

5 0
3 years ago
What is 79% as a faction in simplest form
emmainna [20.7K]
79/100 is the same thing as 79%
4 0
3 years ago
A ladder leaning against a wall makes an angle of 45º with the ground. If the length of the ladder is 20 feet, find the approxim
Sveta_85 [38]

Answer:The way to answer this would be to show you a calculator's answer

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html?vc=45&vx=&vy=20&va=90&vz=&vb=45&angleunits=d&x=62&y=20

6 0
3 years ago
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