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Andre45 [30]
3 years ago
6

How many steps are in a mile?

Mathematics
1 answer:
wel3 years ago
3 0
2,000 steps in a mile
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i  think 64 for your answer

Step-by-step explanation:

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Find the value of x in the parallelogram.
yuradex [85]

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75

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

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Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0
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Substitute v(x)=-2x+y(x), so that \dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}. Then the ODE is equivalent to

\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7

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\dfrac{\mathrm dv}{v^2-9}=\mathrm dx

Split the left side into partial fractions,

\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)

so that integrating both sides is trivial and we get

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\dfrac{v-3}{v+3}=Ce^{6x}

\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}

\dfrac6{v+3}=1-Ce^{6x}

v=\dfrac6{1-Ce^{6x}}-3

-2x+y=\dfrac6{1-Ce^{6x}}-3

y=2x+\dfrac6{1-Ce^{6x}}-3

Given the initial condition y(0)=0, we find

0=\dfrac6{1-C}-3\implies C=-1

so that the ODE has the particular solution,

\boxed{y=2x+\dfrac6{1+e^{6x}}-3}

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3 years ago
What is the product? Assume x &gt; 0 (sqrt 3x + sqrt 5) (sqrt 15x + 2 sqrt 30)
CaHeK987 [17]

Answer:

B hope it helps

Step-by-step explanation:

6 0
3 years ago
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