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13 August, 06:05

Find r (t) if r' (t) = ti+e^tj+te^tk and r (0) = i+j+k

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  1. 13 August, 06:28
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    R (t) = integral of r' (t) = integral of ti + e^tj + te^tk = 1/2t^2i + e^tj + (te^t - e^t) k + c

    r (0) = j - k + c = i + j + k

    c = i + 2k

    Therefore, r (t) = (1/2t^2 + 1) i + e^tj + (te^t - e^t + 2) k
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