Find the critical point of the function f(x, y) = – (25x + 5y + In(|x + y[)). c = Use the Second Derivative Test to determine whether it is O A. a local minimum OB. a local maximum C. test fails O D. a saddle point (:) + (2)* - If C is the part of the circle = 1 in the first quadrant, find the following line integral with respect to arc length. (7х — Зу)ds %3D

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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Solve both questions

(a)
Find the critical point of the function f(x, y) =
(25x + 5y + 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
(b)
(1)' + (?)°
2
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:(a) Find the critical point of the function f(x, y) = (25x + 5y + 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 (b) (1)' + (?)° 2 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 =
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