2. Find the absolute maximum and minimum values of f(r,y) = 2x + y* inside and along the boundary of the unit circle. Hint: when looking along the boundary of the unit circle, substitute r = cose and y = sin 0 into f(r, y). Use this function, defined in 0, to find critical points along the boundary of the unit circle.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Find the absolute maximum and minimum values of f(r, y) = 2r + y inside and
along the boundary of the unit circle.
Hint: when looking along the boundary of the unit circle, substitute a = cos 0 and
y = sin 0 into f(r. y). Use this function, defined in 0, to find critical points along the
boundary of the unit circle.
Transcribed Image Text:2. Find the absolute maximum and minimum values of f(r, y) = 2r + y inside and along the boundary of the unit circle. Hint: when looking along the boundary of the unit circle, substitute a = cos 0 and y = sin 0 into f(r. y). Use this function, defined in 0, to find critical points along the boundary of the unit circle.
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