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Tamiku [17]
3 years ago
9

I need this please it’s due today and i don’t understand it

Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer:

i belive it is 1,1

Step-by-step explanation:

the crossing points of the lines 1 and 2

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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
shutvik [7]

\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)

Let v=x+y, so that \dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}:

\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1

Now the ODE is separable, and we have

\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx

Integrating both sides gives

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx

For the integral on the left, rewrite the integrand as

\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v

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\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C

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\csc v-\cot v=x+C

\csc(x+y)-\cot(x+y)=x+C

Given that y(0)=\dfrac\pi2, we find

\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1

so that the particular solution to this IVP is

\csc(x+y)-\cot(x+y)=x+1

5 0
3 years ago
Find the sales tax for three cds if each cd is $14.29 and the sales tax is 7.25%
mestny [16]
14.29 * .0725 = 1.04
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4 years ago
Read 2 more answers
How many minutes are in m hours?
notka56 [123]

Answer:

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Tuesday is a bigger ratio.
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25+80=105
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y=90
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6 0
3 years ago
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