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Unformatted text preview: 3. Consider the space curves dened by the parametric equations x = t 2 + 1 , y = t1 , z = t 3 + t + 2 and x = 2 s2 , y = s2 , z = 3 s2 . Find the point of intersection of these curves. 4. Sketch the surface x 2y 2 4z 2 4 = 1 . Write down and simplify the integral that computes the surface area of the part of this surface bounded by the planes x = 1 and x = 5 2 . 5. Show that the function x 2 y 2 x 4 + y 4 does not have a limit at ( x, y ) = (0 , 0). 6. Write down the equation of the tangent plane to the graph of the function f ( x, y ) = x 33 x + y 2 + 2 y at the point (3 , 2). 1...
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 Fall '07
 Hutchings
 Math, Equations, Multivariable Calculus, Polar Coordinates

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