final265su2004sol

final265su2004sol - L Math 265 Final Exam, Summer 2004....

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L A Math 265 Final Exam, Summer 2004. NAME--!-Y~%--- 8 Problems, 80 Minutes Instructions: Answer each question completely. Show all work. No credit for mere answers with no work shown. Show the steps of calculations. State the reasons that justify conclusions. 1. Find an equation for the plane perpendicular to the curve 12 13 z = 3t, y = -t , z = -t , at the point where t = 2. 4 6 =2, 3k-6) + C./-0 c 2[%-V/?J 20 .. 7) 3x-13 +y-I 42%- 'I3 -0 =3 z(t) = 3 cost, y(t) = 2 sin t. 2. Parametric equations for a point P moving in a plane are (a) Graph the path of P. (b) Calculate v(t) and a(t) and graph these vectors at (0,2).
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3. The temperature T at a point (x, y, z) in a ball centered at the origin is
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This note was uploaded on 04/07/2008 for the course MATH 265 taught by Professor Gregorac during the Spring '08 term at Iowa State.

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final265su2004sol - L Math 265 Final Exam, Summer 2004....

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