Find r(t) if r'(t) = t^5 i + e^t j + 3te^{3t} k and r(0) = i + j + k. r(t) =
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The derivative of t^5 is 5t^4, the derivative of e^t is e^t, and the derivative of 3t e^(3t) is 3e^(3t) + 9t e^(3t) using the product rule. So, r'(t) = 5t^4 i + e^t j + (3e^(3t) + 9t e^(3t)) k. Show more…
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