MATH 222 Midterm: Kansas State MATH 222 222fxf94
7 Mar 2019
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The point value of each problem is indicated in the left margin. You must show all of your work for full credit. Points will be deducted for faulty reasoning, for sloppy notation, and for failure to simplify answers, even if your answer is correct. You may use a calculator, your class notes, and any reference material. Explicitly cite, in some manner, any published formulae you use. (24) 1. Reparametrize the circular helix r(t) = (5 cos t, 5 sin t, 12t), t 0 by arclength. Find a vector equation for the line of intersection of the planes: page 2 of 8 pages. Let w = ln(u2 + v2) , u = x y and v = x + y . Find at (x, y) = (1, 1) . page 3 of 8 pages. Find an equation for the tangent plane at p = (3, 2, 19) to the surface page 4 of 8 pages z = x3 y3 .
