The absolute minimum of f (x, y) = x + y? – 2y on the semicircle regionD = {(z,y) | y > 0, a² + y? <4}

Given function is fx,y=x2+y2−2y and D=x,y|y≥0,x2+y2≤4. We have to find the absolute minimum of fx,y…

Answered: The absolute minimum of f (x, y) = x²…

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The absolute minimum of f (x, y) = x² +y² – 2y on the semicircle region D= {(r,y) | y> 0, x² + y? < 4}

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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The absolute minimum of f (x, y) = x + y? – 2y on the semicircle region
D = {(z,y) | y > 0, a² + y? <4}

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