Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 10 miles per hou
1 answer:
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Answer:
-1/60
Step-by-step explanation:
=
= (find LCM of demoninators)
=
=
= -1/60
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.
When the term is s^2, that must mean that the equation is 1!/s^(1+1) to yield 1/s^2. This means that n=1. Taking the reciprocal s^2 must be equal to 1/t. Thus, for the first term, -11s^2 is equal to -11/t. For the second term, n must be equal to 6 so that 6!/s^(6+1) would yield 720/s^7. Thus, 720s^7 is equal to 1/t^6.
Hence, the transformed equation is -11/t - 1/t^6
Based on the given, the useful transformation equation is shown in the attached picture.
When the term is s^2, that must mean that the equation is 1!/s^(1+1) to yield 1/s^2. This means that n=1. Taking the reciprocal s^2 must be equal to 1/t. Thus, for the first term, -11s^2 is equal to -11/t. For the second term, n must be equal to 6 so that 6!/s^(6+1) would yield 720/s^7. Thus, 720s^7 is equal to 1/t^6.
Hence, the transformed equation is -11/t - 1/t^6
The value of x in the first question is 3/7.
The value of y in the second question is 17/22
For the first equation given, the first step is to simplify the numbers in the numerator
5(1 - x) + 3(1 +x)
5 - 5x + 3 + 3x
2 - 2x
The equation becomes
Cross multiply
2 - 2x = 8(1 - 2x)
2 - 2x = 8 -16x
Combine similar terms
16x - 2x = 8 - 2
14x = 6
Divide both sides of the equation by 14
x = 6/14
x = 3/7
<em><u>The second question </u></em>
the first step is to simplify the terms in the numerator by combining similar terms
y - 4 + 3y
4y - 4
The second step is to simplify the terms in the denominator by combining similar terms
2y - 3 - 4y
-2y - 3
The equation becomes
=
Cross multiply
20y - 20 = -2y - 3
Combine similar terms
20y + 2y = 20 - 3
22y = 17
Divide both sides of the equation by y
y = 17/22
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