Thread: Minimisation problem.

Solve this problem:

Divide the number ten in to two positive parts so that the sum of the first number in the power of three and the second number in the power of two is as small as possible.

Tip:

You are dividing ten like so, X + y = 10

Originally Posted by Kane535

Solve this problem:

Divide the number ten in to two positive parts so that the sum of the first number in the power of three and the second number in the power of two is as small as possible.

Tip:

You are dividing ten like so, X + y = 10

x + y = 10 ... (1)

S = x^3 + y^2 .... (2)

Substitute (1) into (2) and use calculus in the usual way to minimise S. If you need more help, please show your work and say where you're stuck.