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Math Help - [SOLVED] Related Rates

  1. #1
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    [SOLVED] Related Rates

    Hi i have a couple of questions, steps would be nice, thank you!

    1) The altitude of a triangle is increasing at a rate of centimeters/minute while the area of the triangle is increasing at a rate of square centimeters/minute. At what rate is the base of the triangle changing when the altitude is centimeters and the area is square centimeters?

    2)The demand for apples is given by the equation , where is the number of pounds demanded and is the price per pound. If the price is increasing at a rate of 1.25 dollars per week, when the demand is 10 pounds, at what rate is the
    (a) demand changing;
    (b) revenue changing.

    3) A particle is moving along the curve . As the particle passes through the point , its -coordinate increases at a rate of units per second. Find the rate of change of the distance from the particle to the origin at this instant.
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  2. #2
    MHF Contributor
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    Talking

    Where are you stuck?

    For instance, for the first exercise, you've drawn the triangle, labelled the base and the height with "b" and "h", noted that dh/dt = 3 and dA/dt = 2.5, differentiated the formula for the area A of a triangle with height h and base b with respect to time, plugged in the given values, and... then what?

    Please be complete. Thank you!
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  3. #3
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    I just need someone to do the steps, then i will study the process. I'm not sure how to set up these word problems.

    okay, just need help on the last one, can someone help?
    Last edited by everlasting; April 11th 2010 at 03:38 PM.
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  4. #4
    MHF Contributor

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    What is the distance from the origin to the point (x,y)?
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