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Math Help - Stuck on these problems

  1. #1
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    Question Stuck on these problems

    I'm working on survey of calculus and I don't know what to do... If you could help one of these problems, that would be very helpful.

    1)
    A company knows that unit cost C and unit revenue R from the production and sale of x units are related by Find the rate of change of revenue per unit when the cost per unit is changing by $8 and the revenue is $4000.

    2)
    The energy cost of a speed burst as a function of the body weight of a dolphin is given by where w is the weight of the dolphin (in kg) and E is the energy expenditure (in kcal/kg/km). Suppose that the weight of a dolphin is increasing at a rate of 5 kg/day. Find the rate at which the energy expenditure is changing with respect to time.

    3)
    Water is discharged from a pipeline at a velocity v given by v = 1226p(1/2), where p is the pressure (in psi). If the water pressure is changing at a rate of 337 psi/second, find the acceleration (dv/dt) of the water when
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  2. #2
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    Quote Originally Posted by Matho View Post
    I'm working on survey of calculus and I don't know what to do... If you could help one of these problems, that would be very helpful.

    1)
    A company knows that unit cost C and unit revenue R from the production and sale of x units are related by by what??? Find the rate of change of revenue per unit when the cost per unit is changing by $8 and the revenue is $4000.

    2)
    The energy cost of a speed burst as a function of the body weight of a dolphin is given by by what??? where w is the weight of the dolphin (in kg) and E is the energy expenditure (in kcal/kg/km). Suppose that the weight of a dolphin is increasing at a rate of 5 kg/day. Find the rate at which the energy expenditure is changing with respect to time.

    3)
    Water is discharged from a pipeline at a velocity v given by v = 1226p(1/2) (is the 1/2 an exponent? if so, use a caret (^) to indicate such), where p is the pressure (in psi). If the water pressure is changing at a rate of 337 psi/second, find the acceleration (dv/dt) of the water when when???
    please proofread your post.
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