# global extrema of the function

Find the global extrema of the function f(x,y)= x^4 + 3y^2 on the closed region given by: [0 (< or equal to) x (< or equal to)(pi)]and [0 (< or equal to) y (< or equal to) 1].

You must provide a complete analysis of the function both inside the region and on each of the boundary lines. Be sure to clearly indicate the maximum and minimum values and all places where they occur.

© BrainMass Inc. brainmass.com June 3, 2020, 11:21 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/global-extrema-function-275343

#### Solution Preview

Find the global extrema of the function f(x,y)= x^4 + 3y^2 on the closed region given by: [0 (< or equal to) x (< or equal to)(pi)]and [0 (< or equal to) y (< ...

#### Solution Summary

The global extrema of the function is located. A complete analysis of the function both inside the region and on each of the boundary lines are determined.

$2.19