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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?

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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.

    $2.49

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