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Calculate the 2nd order Taylor polynomial of the following function at the point (0,0) f(x,y) =e^-(x^2+y^2)

Calculate the 2nd order Taylor polynomial of the following function at the point (0,0) f(x,y) =e^-(x^2+y^2)

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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Calculate the 2nd order Taylor polynomial of the following function at the point (0,0) f(x,y) =e^-(x^2+y^2)
Name.... ID.. Problem 2 Calculate the 2nd order Taylor polynomial of the following function at the point (0,0). - (x² + y²) f(x, y) = e¯ So for example in 2D and 3D (assuming square matrices) we have: oh oh oh J= Sometimes the determinant of this matrix is also called the Jacobian too. One of the meaning's of the Jacobian determinant is as a scaling factor. This will be used a lot in multiple integrals in alternative coordinate systems.
Transcribed Image Text:Name.... ID.. Problem 2 Calculate the 2nd order Taylor polynomial of the following function at the point (0,0). - (x² + y²) f(x, y) = e¯ So for example in 2D and 3D (assuming square matrices) we have: oh oh oh J= Sometimes the determinant of this matrix is also called the Jacobian too. One of the meaning's of the Jacobian determinant is as a scaling factor. This will be used a lot in multiple integrals in alternative coordinate systems.
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