The document describes the properties of the function F(x1,x2)=20x121x244. It states that: 1) The function is homogeneous of degree 5/4 in its variables. 2) The level curves have a slope of dx2/dx1=22/1 at points where both variables are positive. 3) The level curves are strictly convex at points where both variables are positive.

1. calculus in economics:
please show how its obtained
F(x1,x2)=20x121x241
The function F(x1,x2)=20x121x244 has the following properties a) I is homoneneous of degree
5/4 in its variables. b) 1 is not homogeneous in its variables. is homoneneous of degree 3/4 in its
variables. is homoneneous of degree 1/4 in its variables. c) I is homoneneous of degree 1/2 in its
variables. is homoneneous of degree 1 in its variables.
The function F(x1,x2)=20x12x24 has the following properties a) It b) It has level curves with
slope dx2/dx1=22/1 at every point (x1,2) where both variables' values are positive. has level
curves with constant slope. has level curves with slope d2/d1=42/x1 at every point (x1,x2) where
both variables' values are positive. has level curves with slope d2/dx1=x2/51 at every point
(x1,x2) where both variables' values are positive. has level curves with siope d2/dx1=52/1 at
every point (1,x2) where both variables' values are positive. has level curves with slope
d2/dx1=41/2 at every point (x1,x2) where both variables' values are positive. has level curves
with slope d2/dx1=21/2 at every point (x1,x2) where both variables' values are positive.
The function F(x1,x2)=20x12x24 has the following properties a) It b) it c) r has strictly convex
level curves at every point (x1,x2) where both variables' values are positive. has 1000 level
curves. has strictly concave level curves at every point (x1,x2) where both variables' values are
positive. has upward sloping level curves at every point (x1,x2) where both variables' values are
positive. has concave level curves. has L-shaped level curves at every point (x1,x2) where both
variables' values are positive.