MATH 32A Study Guide - Final Guide: Tangent Space, Parallelepiped, Talking Lifestyle 1278
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Try to answer the following questions without the use of book, notes or calculator; you can use the equation sheet given on the course webpage. Time yourself and try to nish the test in less than three hours: let a = (cid:104)0, 1, 1(cid:105) and b = (cid:104)2, 1, 2(cid:105). Indicate which variable(s) are the dependent and which are the independent. (b) find. Find the curvature of this curve at time t = 2. 2: we say a sphere is tangent to a surface at (x0, y0, z0) if the surface of the sphere passes through the point and if they have the same normal vectors at that point. The design is simple enough, a rectangular box, so your main job is to decide what dimension to make the box. The materials to make the top/bottom sides cost /m2 the materials to make the front/back sides cost /m2 and the material to make the left/right sides cost /m2.
