Question

Equation: f(x)=x^3-6x^2+40

Find two numbers whose product is maximum, but whose sum is 2.

Repeat the previous problem using the product x^2 · y and the sum 2?

Answer 1

(A)

Let's assume

first term =x

second term =y

sum =2

we can solve for y

now, we can find product

we can plug back y

we can find derivative

now, we can set P'=0

and then we can solve for x

now, we can find y-value

so,

first term =1

Second term =1.........Answer

(B)

Let's assume

first term =x

second term =y

sum =2

we can solve for y

product is

we can plug back y

we can find derivative

now, we an set it to 0

and then solve for x

now, we can find y-value

so, we get numbers as

...........Answer