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Unformatted text preview: ( x-1) 4-( y-1) 4 x y z z = P 2 ( x, y ) FIGURE 3 FIGURE 4 Answer: P 2 ( x, y ) = 5-x + y The graph of P 2 is a plane. Lecture notes to accompany Section 14.7 of Calculus by Hughes-Hallett et al. 1 Math 10C. Lecture Examples. (11/11/08) Section 14.7, p. 2 Example 4 Figure 5 shows the graph of f ( x , y ) = y 2-1 12 y 4-x , and Figure 6 shows its graph with the graph of its second-degree Taylor polynomial z = P 2 ( x , y ) at x = , y = . Give a formula for P 2 ( x , y ) . x y z z = y 2-1 12 y 4-x x y z z = P 2 ( x, y ) FIGURE 5 FIGURE 6 Answer: P 2 ( x, y ) = y 2-x...
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