8.5.33. Find the minimum and maximum values of the quadratic form 5x2 4x y 5y2 where x, y are subject to the constraint x2 y2

hard

step-by-step explanation:

step-by-step explanation:

a bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars.

let

step

find the slope of the line ab

we know that

the formula to calculate the slope between two points is equal to

substitute the values

step

find the equation of the line ab with the slope m and point a

we know that

the equation of the line in the slope-point form is equal to

substitute the values

convert to function form

let

therefore

the answer is the option

see the attached figure to better understand the problem