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Unformatted text preview: x + y + z = 5 and 3 xy = 4 . Problem 1.5. Sketch the surface given by y = 2 x + x 2 + z 2 . Then nd a parametric formula describing the curve of intersection with the plane 2 xy + 2 z =1 Problem 1.6. The position of a particle is given by x ( t ) = (ln( t ) , ln(2t 2 ) , 1 + 2 t + 3 t 5 ) . Calculate the domain of x ( t ) . Find the velocity and acceleration vectors of the particle. What is the speed of the particle when t = 1 / 2 ? Problem 1.7. Let r ( t ) = ( t 2 + t,t + 3 ,t 3t 2 + t1) . Calculate R 1 r ( t ) d t . 1...
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This note was uploaded on 01/11/2012 for the course MATH 100 taught by Professor Loveys during the Fall '11 term at McGill.
 Fall '11
 Loveys
 Math

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