Help me please (b) Let g(x, y) = 2 + 5x + 6xy + y?. Find the degree 1 and degree 2 Taylor polynomials ofg at (0,0). What do you notice?(c) Now consider a function h that is a degree 2 polynomial in x and y, i.e.,h(x, y) = A + Bx + Cy + Dx? + Exy + Fy²,where A, B, C, D, E, F E R are constants. Make a conjecture about the degree 1 anddegree 2 Taylor polynomials of h at (0,0).(d) Prove your conjecture from part (c).

Answered: (b) Let g(x, y) = 2 + 5x + 6xy + y².…

(b) Let g(x, y) = 2 + 5x + 6xy + y². Find the degree 1 and degree 2 Taylor polynomials of g at (0,0). What do you notice?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.3: Change Of Basis

Problem 17EQ

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Help me please

(b) Let g(x, y) = 2 + 5x + 6xy + y?. Find the degree 1 and degree 2 Taylor polynomials of
g at (0,0). What do you notice?
(c) Now consider a function h that is a degree 2 polynomial in x and y, i.e.,
h(x, y) = A + Bx + Cy + Dx? + Exy + Fy²,
where A, B, C, D, E, F E R are constants. Make a conjecture about the degree 1 and
degree 2 Taylor polynomials of h at (0,0).
(d) Prove your conjecture from part (c).

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