M 408D Study Guide - Final Guide: Paraboloid, Contour Line, Quadric
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Oliver (smo998) hw 14. 1-14. 3 rusin (52440) Multiple-choice questions may continue on the next column or page nd all choices before answering. Find the domain of the function f (x, y) = ln(5 x2 7y2) : n(x, y) , n(x, y) , n(x, y) , n(x, y) , n(x, y) , n(x, y) : 5 y2 1o y2 < 1o correct y2 1o y2 > 1o y2 < 1o y2 > 1o. Since ln x is de ned only for x > 0, the function f (x, y) = ln(5 x2 7y2) is de ned only for n(x, y) : 1 cor- keywords: function several variables, ln func- tion, domain. Which one of the following could be the contour map of a hyperbolic paraboloid? rect. 3 oliver (smo998) hw 14. 1-14. 3 rusin (52440) The horizontal cross-sections of the sur- face are always hyperbolas when the vertical cross-sections of a hyperbolic paraboloid are parabolas. Consequently, of the ve given contour maps only.
