homework03_w12 - Math 215 Homework Set 3 § 13.3–14.4...

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Unformatted text preview: Math 215 Homework Set 3: §§ 13.3–14.4 Winter 2012 Most of the following problems are modified versions of the problems from your text book, Multivariable Calculus , 7th ed., by James Stewart. Your solution to each problem should be complete, show all work, and be written in complete sentences where appropriate. For Maple problems, include a print-out that shows all of the work and graphs that you generated in Maple to solve the problem, in addition to any work you may have done by hand. 13.3.1: Consider the curve given by the parametric equations x = 2 t + 2 , y = 1- 2 t, z = 2 t 2 . Write the equation for the osculating plane to this curve at the point (4 ,- 1 , 2) . 14.1.1: Sketch by hand the graph of the plane x + y + z = 6 . Draw the circle of radius one lying on the plane and centered at (2 , 2 , 2) . What is the radius of the largest circle lying on the plane and centered at (2 , 2 , 2) that is wholly contained in the first octant? Explain....
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