Question

(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 – 4x – 5 on the domain x2 + y2 < 100. The maximum value of f(x, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(x,y) is: List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).

Answer 1

Dota Poo. f(x, y2= 2x² +39²-426-5 x² + y 2 2 100 for critical points af of = e = 0 her 2x ခ af 42 - 4 af -> 2=1 270 ax af dy = 6y 2 ay =) y zo So, دره را) critical point f(), o) - 2 - 4 - 5 - -7 So, minimum of frogg is - 7 Valve at (1,02 maximum value of franys is 10, to felel: 07311092-0-s fle,lol = 300-5=295 Thank you