Find the absolute maximum and minimum values of the following functions on the given curves. 1. Functions: a. ƒ(x, y) = x + y b. g(x, y) = xy Curves: i) The semicircle x2 + y2 = 4, y>= 0 ii) The quarter circle x2 + y2 = 4, x>=0, y>=0 Use the parametric equations x = 2 cos t, y = 2 sin t.
Find the absolute maximum and minimum values of the following functions on the given curves. 1. Functions: a. ƒ(x, y) = x + y b. g(x, y) = xy Curves: i) The semicircle x2 + y2 = 4, y>= 0 ii) The quarter circle x2 + y2 = 4, x>=0, y>=0 Use the parametric equations x = 2 cos t, y = 2 sin t.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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Find the absolute maximum and minimum values of the following functions on the given curves.
1. Functions: a. ƒ(x, y) = x + y b. g(x, y) = xy
Curves: i) The semicircle x2 + y2 = 4, y>= 0
ii) The quarter circle x2 + y2 = 4, x>=0, y>=0
Use the parametric equations x = 2 cos t, y = 2 sin t.
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