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Sergio [31]
3 years ago
5

Solve pls for brainliest

Mathematics
1 answer:
Luden [163]3 years ago
5 0

Answer:

19. 6561

20. 196

22. \frac{256}{25}

23. \frac{1}{16}

24. \frac{2}{9}

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40 points right here
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Add up all the sides is one way I think and then try to find the volume like add them all up then divide them by 2
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Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0
Leokris [45]

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

which is separable as

\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

\dfrac{\ln|v-3|-\ln|v+3|}6=x+C

\ln\left|\dfrac{v-3}{v+3}\right|=6x+C

\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}

5 0
3 years ago
Solve the following system of equations, 3x +5y+2-0
zlopas [31]

Answer:

3x+5y+2

Step-by-step explanation:

remove the 0

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3 years ago
Find slope x-intercept=5,y-intercept=3
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Intercepts<span> occur when a line crosses the </span>x<span>-axis or the </span>y<span>-axis. When the line crosses the </span>x<span>-axis, then </span>y<span> = 0 and </span>x<span> = </span>3<span>. ... The </span>intercept<span> points are (0, 4) and (</span>3<span>, 0 ). So the </span>y-intercept<span> is 4 and the </span>x intercept<span> is </span>3<span> and the sum is 7.</span>
7 0
3 years ago
How to solve for z 6-1/2z=2/3
sergey [27]
6 - 1/2z = 2/3
Steps
First, subtract 6 from both sides
6 - 1/2z - 6 = 2/3 - 6
Then, simplify
-1/2z = -16/3
Then, multiply both sides by -2
(-1/2z) (-2) = (-16/3) (-2)
Then, simplify
z = 32/3
3 0
3 years ago
Read 2 more answers
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