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pallavi pradeep bhardwaj Grade: 12
        

if the sum of two numbers is 3 then the maximum value of the product  of the first and the square of second is

7 years ago

Answers : (1)

Pratham Ashish
17 Points
										

hi,


let one no. be  a   (0=< a  = <3 )


  other no. will be 3- a


so, we have to maximize (3-a ) * a^2


 let p =  (3-a ) * a^2


  dp/da =  6a - 3a^2


            = 0


emplies,    either a= 0 , or


             a =2


d^2 p / da^2 =  6 - 6a


so, at a = 0 , we will have a min .  (d^2 p / da^2 >0 )


  d^3 p / da^3  =  -6   emplies that at a= 2 we will get a max.


 so the max. value will be 4.

7 years ago
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