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3 years ago

²/5 ÷ ( 2 1/5 - 33/12 ÷ 3 1/5)

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Answer:

128/429 (double check for confirmation

Step-by-step explanation:

answer from GAUTHMATH

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Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y

choli [55]

Looks like the equation is

$y(t)+9\displaystyle\int_0^te^{9(t-v)}y(v)\,\mathrm dv=\sin(3t)$

Differentiating both sides yields the linear ODE,

$y'(t)+9e^{9(t-t)}y(t)=3\cos(3t)$

$y'(t)+9y(t)=3\cos(3t)$

Multiply both sides by the integrating factor $e^{9t}$ :

$e^{9t}y'(t)+9e^{9t}y(t)=3e^{9t}\cos(3t)$

$\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)$

Integrate both sides, then solve for $y(t)$ :

$e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C$

$y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}$

The given answer choices all seem to be missing <em>C</em>, so I suspect you left out an initial condition. But we can find one; let $t=0$ , then the integral vanishes and we're left with $y(0)=0$ . So

$0=\dfrac{0+3}{10}+C\implies C=-\dfrac3{10}$

So the particular solution is

$y(t)=\dfrac{\sin(3t)+3\cos(3t)-3e^{-9t}}{10}$

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3 years ago

Solve for x please and thank you

inysia [295]

Answer:

x = 3

Step-by-step explanation:

40+ 46x + 2 = 180 degrees

46x = 180 - 42

x = 3

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3 years ago

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andreev551 [17]

Answer:

A) The parallelogram is a rhombus

Step-by-step explanation:

A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.

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2 years ago

The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

IrinaVladis [17]

I believe the answer is C also trying using the website desmos it helps a lot with graphing

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3 years ago

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For each value of y, determine whether it is a solution to 7=y÷4.

rjkz [21]

Answer:

Step-by-step explanation:

7 = y/4

7*4 = y

y = 28

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4 years ago

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²/5 ÷ ( 2 1/5 - 33/12 ÷ 3 1/5)​

²/5 ÷ ( 2 1/5 - 33/12 ÷ 3 1/5)