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Math Help - Exponential Growth & Decay

  1. #1
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    Exponential Growth & Decay

    I'm not sure how to go about solving this problem, so any help will be much appreciated!

    v'= 3 times the radical of t
    v(1)= 3
    v(4)= ?
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    Quote Originally Posted by blurain View Post
    I'm not sure how to go about solving this problem, so any help will be much appreciated!

    v'= 3 times the radical of t
    v(1)= 3
    v(4)= ?
    v^{\prime} = 3\sqrt{t}

    So
    \int v^{\prime}~dt = \int 3 \sqrt{t}~dt

    v(t) = 3 \cdot \frac{1}{\frac{3}{2}}t^{3/2} + C = 2\sqrt{t^3} + C

    Now use v(1) = 3 to find the value for C.

    -Dan
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