A) Show that from the lower relations near the point (0,0,0, 0) u can be written as a derivative function in terms of (x, y) v cos(y) + x cos(u) =0 u cos(x) + y cos(v) B) Get the second-order Taylor polynomial u around the point (x, y) = (0,0).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 15E
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Just Solve B . please Type answer. no handwriting

A) Show that from the lower relations near the point (0,0,0, 0) u can be
written as a derivative function in terms of (x, y)
v cos(y) + x cos(u) =0
u cos(x) + y cos(v) =0
B) Get the second-order Taylor polynomial u around the point
(x, y) = (0,0).
Transcribed Image Text:A) Show that from the lower relations near the point (0,0,0, 0) u can be written as a derivative function in terms of (x, y) v cos(y) + x cos(u) =0 u cos(x) + y cos(v) =0 B) Get the second-order Taylor polynomial u around the point (x, y) = (0,0).
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