ODD PROBLEMS ONLY PLEASE PLEASE PLEASE SHOW WORK Find the tangent vector and sca

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ODD PROBLEMS ONLY PLEASE PLEASE PLEASE SHOW WORK

Find the tangent vector and scalar parametric equations for the tangent line at the indicated point. r(t) = t2i + (t + 1) j - t3 k; P(1, 2, -1) r(t) = cos 2t i + sin 2t j + tk; t = pi/3 Find the unit tangent vector and the principal unit normal vector for the curve r. r(t) = 2t i + ln t j - t2 k r(t) = cos t i +cos t j - 2 sin t k r(t) = et i + e-t j - t2k Find the length of the curve r. r(t) = 2t i + 2/3t3/2 j; from t = 0 to t = 5. Interpret r(t) as the position of a moving object at time t. Find the curvature of the path and the tangential and normal components of acceleration. r(t) = et i + e-tj - t 2k r(t) = 4/5 cos t i - 3/5 cos t j + (1 + sin t)k

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too many questions for a single post no one will solve them for just 175 karma split them in multiple post and repost

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