Answer:
C=2pi
Step-by-step explanation:
Answer:
option c I think as the correct answer.
Step-by-step explanation:
hope this helps you.
Answer:
a.
b.
Step-by-step explanation:
We have a differential equation
y''-2 y'-35 y=0
Auxillary equation

By factorization method we are finding the solution


Substitute each factor equal to zero
D-7=0 and D+5=0
D=7 and D=-5
Therefore ,
General solution is

Let 
We have to find Wronskian

Substitute values then we get



a.
We are given that y(0)=-7 and y'(0)=23
Substitute the value in general solution the we get

....(equation I)


......(equation II)
Equation I is multiply by 5 then we subtract equation II from equation I
Using elimination method we eliminate
Then we get 
Substitute the value of
in I equation then we get


Hence, the general solution is
b.
Needed points sorry hdjdjdjdjdjd
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Find the cost of the first 10 hours:
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10 hours = $220 x 10
10 hours = $2200
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Find the cost of the next 5 hours (only the second mechanic worked):
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5 hours = $2725 - $2200
5 hours = $525
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Hourly charge of the second mechanic:
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5 hours = $525
1 hour = $525 ÷ 5
1 hour = $105
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Hourly charge of the first mechanic:
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$220 - $105 = $115
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Answer: First mechanic = $115/hour ; Second mechanic = $105/hour
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