Mathematics for Economists

Homework

Solve the problem

ZT

0

et/^4 ln



2 K

K



dt!max, K( (^0) )=K 0 ,K(T)=KT.
Solve the problem
ZT
0
et/^10

1

100 tK



K

 2!

dt!max, K( 0 )= 0 ,K(T)=S.

Solve the problem

Z 1

0

1 x^2 



x

 2

dt!max, x( 0 )= 1.

Solve the problem

Z 1

0

1 x^2 



x

 2

dt!max, x( 1 )= 1.