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math 226 notes - Math 226 SI Spring ’11 Final Review Math...

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Unformatted text preview: Math 226 SI Spring ’11 Final Review Math 226 SI Spring ’11 Final Review Math 226 SI Spring ’11 Final Review Math 226 SI Spring ’11 Final Review SGM 124 3 SGM 124 3 SGM 124 3 SGM 124 3-5PM 5PM 5PM 5PM w/ Andrew Kupiec and Renee Allison w/ Andrew Kupiec and Renee Allison w/ Andrew Kupiec and Renee Allison w/ Andrew Kupiec and Renee Allison Find an equation for the plane that passes through the line of intersection of the planes x – 2z = 2 and y + z = 1 and is perpendicular to the plane x + y- 2z = 1 Are the lines following lines parallel, intersecting , or skew? x=t, y=1+2t, z=2+3t, x=3-4s, y=2-3s, z=1+2s. Find the distance between them. Find equations of the tangent plane and normal line to the surface yz = ln(x – y) at the point (0, 1, 2) Find the maximum rate of change of f(x,y) = 2x 2 y at the point (1,0). At what direction does it occur? Find the length of the curve r(t) = = = = <3sint, 2t, 3cost>, -5 ≤ t ≤ 5 Identify the surfaces and sketch them a) 4y 2 + z 2 –x – 16y -4z + 20 = 0...
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