Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

MEDIUM

12th ICSE

IMPORTANT

Earn 100

Find two numbers whose sum is $24$ and whose product is as large as possible.

Important Questions on Applications of Derivatives

MEDIUM

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

The sum of two positive numbers is $20$ . Find the numbers if the sum of their squares is minimum.

MEDIUM

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

The sum of two positive numbers is $20$ . Find the numbers if the product of the square of one and the cube of other is maximum.

MEDIUM

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

The product of two positive numbers is $16$ . Find the numbers if the sum is least.

MEDIUM

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

The product of two positive numbers is $16$ . Find the numbers if the sum of one and the square of other is least.

HARD

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

Find two positive numbers

x

and

y

such that

x + y = 60

and

x y^{3}

is maximum.

HARD

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

Find two positive numbers

x

and

y

such that their sum is

35

and

x^{2} y^{5}

is maximum.

HARD

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

Find two positive numbers whose sum is

15

and the sum of whose squares is minimum.

HARD

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 1>Chapter 7 - Applications of Derivatives>EXERCISE 7.8

Find two positive numbers whose sum is

16

and the sum of whose cube is minimum.