Minimisation problem.

May 2010
3
0
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
 
Last edited by a moderator:

mr fantastic

MHF Hall of Fame
Dec 2007
16,948
6,768
Zeitgeist
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.
 
  • Like
Reactions: Kane535