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3 years ago

What shape would you get if you cut off one of the corners of a rectangular prism

Mathematics

1 answer:

Svetlanka [38]3 years ago

3 0

Answer:

A Pyramid

Step-by-step explanation:

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12(3)+3y=60 solve for y

Naily [24]

Answer:y= 8

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Simplify -|-28| + (-5)^2

ExtremeBDS [4]

The answer is -3 because

-|28|= -28 now the problem looks like -28+(-5)^2

(-5)^2=25

-28 +25= -3

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3 years ago

Can you please help me.

scoundrel [369]

Is this homework?

You can always go back in the lesson what you have learned and or ask your parents.

Sorry for not really answering you're question. I have no idea. I'm sorry.

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3 years ago

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Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

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2 years ago

The grid shows the positions of a subway stop in your house does subway stop is located at The grid shows the positions of a sub

professor190 [17]

Answer:

I need a picture to solve...

Step-by-step explanation:

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3 years ago