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# Equation of Solution, Marginal Cost and Maximum Height

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1.) You are shown a family of graphs each of which is a general solution of the given differential equation. Find the equation of the particular solution that passes though the indicated point.

dy/dx=-5x-2 point (0,2)

2.) Find the cost function for the marginal cost and fixed cost

marginal costs fixed costs (x=0)
dC/dx=85 \$5000

3.) Use a(t)=-32feet per sec. How high will the ball go?

A ball is thrown vertically upward with an intergral velocity of 60 feet per second. How high will the ball go?

https://brainmass.com/math/integrals/equation-solution-marginal-cost-maximum-height-39525

#### Solution Preview

1.) you are shown a family of graphs each of which is a general solution of the given differential equation. Find the equation of the particular solution that passes though the indicated point.

dy/dx=-5x-2 point (0,2)

Solution. Since dy/dx=-5x-2 , we have
dy=(-5x-2)dx
Integrating it, we get
y = -5/2*x^2 - 2x + C
Since y(0)=2, we can ...

#### Solution Summary

Integration Applications problems involving Equation of Solution, Marginal Cost and Maximum Height are solved. The solution is detailed and well presented.

\$2.49