# Equation of Solution, Marginal Cost and Maximum Height

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?

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#### 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.