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gizmo_the_mogwai [7]
3 years ago
13

Please help this is on Prepworks

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

D

Step-by-step explanation:

I hope it's the correct one

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Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) −
Advocard [28]
When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.

Based on the given, the useful transformation equation is shown in the attached picture. The given equation is

\frac{-1}{s(s-5)(s-6)(s-30)}

Breaking it into partial fractions,

\frac{-1}{s} * \frac{1}{s-5} * \frac{1}{s-6} * \frac{1}{s-30}

From the given transformation equation:

-1/s ⇔ -e^0t ⇔ 1
1/(s-5) ⇔ e^-(-5t) ⇔ e^5t
1/(s-6) ⇔ e^-(-6t) ⇔ e^6t
1/(s-30) ⇔ e^-(-30t) ⇔ e^30t

Therefore, the laplace equation is equal to 1*e^5t*e^6t*e^30t which is simplified into e^41t,

3 0
3 years ago
Makayla is teaching Rodney how to construct a square inscribed in a circle.
Yuliya22 [10]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Why are 7 and 2 like terms? help please!!
bazaltina [42]

Like terms are terms whose variables are the same. In this case, 7 and 2 have no coefficients therefore are like terms. For example, 7x and 2x would both be like terms because they have the same coefficient which is x.

7 0
3 years ago
WHAT IS THE SURFACE AREA OF THE FIFURE?
max2010maxim [7]
I think the correct answer is 560ft^2.
7 0
3 years ago
A circle with area 100π has a sector with a central angle of 2/5π radians.
Snowcat [4.5K]

Answer:

  20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

  sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

  sector area = (circle area)( sector angle / whole circle angle)

  = (100π)(2/5π)/(2π)

  = (100π)(1/5)

  sector area = 20π

3 0
3 years ago
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