Find the absolute maximum and minimum values of the following functions on the given curves. 1. Functions: a. ƒ(x, y) = 2x + 3y b. g(x, y) = xy c. h(x, y) = x2 + 3y2 Curves: i) The semiellipse (x2/9)...


Find the absolute maximum and minimum values of the following functions on the given curves.


1. Functions:


a. ƒ(x, y) = 2x + 3y b. g(x, y) = xy c. h(x, y) = x2 + 3y2


Curves: i) The semiellipse (x2/9) + (y2/4) = 1, y>= 0


ii) The quarter ellipse (x2/9) + (y2/4) = 1, x >= 0, y>= 0


Use the parametric equations x = 3 cos t, y = 2 sin t.



Jun 04, 2022
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