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3 years ago

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

trapecia [35]

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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3 years ago

Find the solution of the initial value problem 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

shutvik [7]

Intercepts occur when a line crosses the x-axis or the y-axis. When the line crosses the x-axis, then y = 0 and x = 3. ... The intercept points are (0, 4) and (3, 0 ). So the y-intercept is 4 and the x intercept is 3 and the sum is 7.

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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

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