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2 years ago

5

Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how

much will the gas cost for her trip?

1 answer:

nikdorinn [45]2 years ago

5 0

Well she would need about 11.5 gallons of gas times 1.89 is $21.73 hope this helps

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Step-by-step explanation:

We are given that

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Taking integration on both sides then we get

$\int (3+2y)dy=2\int cos 2xdx$

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Using formula

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$-3+1=sin0+C$

$-2=C$

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Substitute the value of C

$y^2+3y=sin2x-2$

$y^2+3y-sin 2x+2=0$

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By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{-3\pm\sqrt{9+4sin2x-8}}{2}=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

Hence, the solution $y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

When the solution is maximum then y'=0

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$2cos2x=0$

$cos2x=0$

$cos2x=cos\frac{\pi}{2}$

$cos\frac{\pi}{2}=0$

$2x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

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