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Find the following for the given equation. r(t) = (e-t, 2t2, 6 tan(t)) (a) r'(t) - ( -e , At, 6 sec ? (1 )

Find the following for the given equation. r(t) = (e-t, 2t2, 6 tan(t)) (a) r'(t) - ( -e , At, 6 sec ? (1 ) ) (b) r"(t) = (e ,4,12 sec (t ) tan(t) ) (c) Find r'(t) . r"(t). (-e-21,16t. 72 sect(t) . tan(t) ) X

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