Answer:
Laplace transform of the original differential equation:
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Given that and , solve for to obtain:
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Apply inverse Laplace transform to obtain:
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Step-by-step explanation:
<h3>Apply Laplace transform</h3>
Apply these two rules to replace all , , and in the original equation with their Laplace transforms:
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<h3>Solve for Y(s)</h3>
Substitute in the values and .
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Solve for after rearranging this equation:
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Note that if denominator is the left-hand side of a quadratic equation, this equation would have no real root. Hence, complete the square in the denominator:
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<h3>Invert Laplace Transform</h3>
Look up a table of Laplace transforms. Apply the rule , where and .
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Answer:
Erin = x
Jherica = x + 5.50
Alexa = (x+5.50) - 10
After determining the following, you want to plug it into an equation.
So,
x + (x+5.50) + (x+5.50 - 10) = $85.00
Solve.
The table shown is giving the probabilities of a positive response for two government programs from the citizens in eight cities.This question is asking for the positive response that can be obtained from Chicago for program 1 and 2. Then, you just need to fill the value inside the table. The chance that a positive response obtained from Chicago for program 1 would be 65.90%. The chance that a positive response obtained from Chicago for program 2 would be 87.50%
Answer:
Step-by-step explanation:
<u>Given polynomial </u><u>function </u>:-
<u>To </u><u>find</u> :-
<u>Solution:-</u>
Here, the value of x is 7(given).
So, <u>Substitute the value of x on the RHS and </u><u>on </u><u>LHS </u>:-
Simplify the RHS:-
<u>Multiply 10 and 7 :-</u>
<u>Add 70 and 45 :-</u>
We're done!
Hence, the value of f(7) would be,
I hope this helps!
Let me know if you have any questions.
Answer:
x = 4.0 yd
Step-by-step explanation:
The area of a rectangle is given by
lw = A
11.8x = 47.6
Divide each side by 11.8
11.8x/11.8 = 47.6/11.8
x =4.033898305
To the nearest tenth
x = 4.0