O Civen the drte poirts : (e.1), (3,5),(5,1),(4 ,1 ) ond (7,0) 'weticarte y= C, tx C2+x 2 ue the dorta in the preblem guen abeve to Find the Language Interpobting polynonial.

[Second Order Equations] How do you solve this question?

lotal Revenue for a procluctis R=-x²+456y2+5250o How many R=-x³+456y units should be produced to revenue! maximize

Find the maximum and minimum outputs for f(x,y) = x^2y-x+y^2  on the set D= (x,y){ -2(less than or equal to)x(greater or equal to)2}, {-1(less than or equal to)y(greater than or equal to)2 } Solving using langrange multipliers, (y=x^2 is the graph )  Was wondering how to solve it completely & what langrage multipliers help us achieve, (my thinking is the max & min) of the function f without having to do it the other way where you find corner points, boundary points & critical points,  thank you :)