MTH 234 Study Guide - Midterm Guide: Proctor, Talking Lifestyle 1278, Tangent Space
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Include enough steps for the grader to be able to follow your work. Include words to clarify your reasoning: do rst all of the problems you know how to do immediately. Do not spend too much time on any particular problem. I have read and understand the above instructions: No partial credit available: (8 points) consider the surface given by equation below and answer the questions that follow. (a) horizontal traces or cross-sections (i. e. , planes parallel to z = k > 1) of the surface. Probs 1 and 2: 4 points for each part. Please box your nal answer: (12 points) find the length of the curve below. r(t) = 3 i 4t j + t2 k, It follows that t i 4 j + 2t k v(t) = 4. |v(t)|2 = 16t + 16 + 4t2 = 4(t + 2)2 (cid:90) 1. = 5: let f (x, y) =
