final265sp2006sol

final265sp2006sol - - Math 265 Final Exam 2006/05/03 Name &...

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Math 265 - Name & Section: I VIP le A Final Exam 2006/05/03 Instructor: Tvipl& A . 1 1 Answer each question completely. Show all work. No credit is allowed for I I 1 1 mere answers with no work shown. Show the steps of calculations. State the I I reasons that justify conclusions. 1. (12 points) Find parametric equations of the line of intersection of the two planes 2x - 3y - 52 = 15 and x - y - 22 = 5. A '4 h, = LZ, -3,-53 , h,: A,-I,-Z> as a local maximum, local minimum, or saddle. each
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3. (12 points) On the curve 2 r(t) = t i + t2 j + -t3 k 3 find the velocity vector v(t) and the acceleration vector a(t) at any t. Find a* and a~, the tangential and normal components of acceleration, at t = 1.
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4. (12 points) Given the function g(z, y, z) = z2 In y + yz, find an equation for the tangent plane to the surface g (z, y, z)
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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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final265sp2006sol - - Math 265 Final Exam 2006/05/03 Name &...

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