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ryzh [129]
3 years ago
11

a Hummer that gets 300 miles on 20 gallons of gas or a Camry that gets 495 miles on 15 gallons of gas

Mathematics
2 answers:
lukranit [14]3 years ago
6 0
Divide 300 by 20 and 495 by 15. Your answer for Hummer will be 15 miles on 1 gallon. Your answer for Camry is 33 miles on 1 gallon. So Camry is better.
storchak [24]3 years ago
5 0
Camry would be  the better option
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3 years ago
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3 years ago
Dy/dx = y/x^2
Lady_Fox [76]
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
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So you have the correct answer. Nice job.

------------------------------------------------

Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)

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y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)

Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
8 0
3 years ago
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