(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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Linear 2
![(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3fa992e-0116-4e63-9701-97f7787a62b9%2F80a1c18c-5030-4c3f-8dba-c92576ebb7f1%2F32kqseq_processed.jpeg&w=3840&q=75)
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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