Find the critical point of the function f(x, y) = – (25x + 5y² + In(]x + y[). c = Use the Second Derivative Test to determine whether it is A. a local minimum B. a local maximum C. test fails D. a saddle point

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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If C is the part of the circle
+
= 1 in the first quadrant, find the following line integral with respect to arc length.
(7x – 3y)ds =
Transcribed Image Text:If C is the part of the circle + = 1 in the first quadrant, find the following line integral with respect to arc length. (7x – 3y)ds =
(a)
Find the critical point of the function f(x, y) = – (25x + 5y² + In(]x + yl)).
c =
Use the Second Derivative Test to determine whether it is
OA. a local minimum
B. a local maximum
C. test fails
O D. a saddle point
Transcribed Image Text:(a) Find the critical point of the function f(x, y) = – (25x + 5y² + In(]x + yl)). c = Use the Second Derivative Test to determine whether it is OA. a local minimum B. a local maximum C. test fails O D. a saddle point
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