Problem on marginal cost and maximum height


Assignment:

Q1.) 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)

Q2.) Find the cost function for the marginal cost and fixed cost

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

Q3.) 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?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Problem on marginal cost and maximum height
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