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(a) For g(x, y) = √√√x²+y+9, 1 Vg(2,3) 28 (b) Find the best linear approximation of g(x, y) for (x, y) near (2, 3). = - 1/2(x−2)+(x-3) Linear approximation = 8 + ½-½ (x− 2) + (c) Use the approximation in part (b) to estimate g(1.99, 2.97). g(1.99, 2.97) ≈ 7.99125

(a) For g(x, y) = √√√x²+y+9, 1 Vg(2,3) 28 (b) Find the best linear approximation of g(x, y) for (x, y) near (2, 3). = - 1/2(x−2)+(x-3) Linear approximation = 8 + ½-½ (x− 2) + (c) Use the approximation in part (b) to estimate g(1.99, 2.97). g(1.99, 2.97) ≈ 7.99125

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) For g(x, y) = √√√x² +y+9, 1 Vg(2,3) 28 (b) Find the best linear approximation of g(x, y) for (x, y) near (2, 3). Linear approximation = 8 + ½-½ (x − 2) + - ½(x − 2) + (y−3) 2 = (c) Use the approximation in part (b) to estimate g(1.99, 2.97). g(1.99, 2.97) ≈ 7.99125
Transcribed Image Text:(a) For g(x, y) = √√√x² +y+9, 1 Vg(2,3) 28 (b) Find the best linear approximation of g(x, y) for (x, y) near (2, 3). Linear approximation = 8 + ½-½ (x − 2) + - ½(x − 2) + (y−3) 2 = (c) Use the approximation in part (b) to estimate g(1.99, 2.97). g(1.99, 2.97) ≈ 7.99125
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