Math 252 HW#08 sec. 4.7 #20 Maple Work

We start by loading the "plots" package:

> with(plots):

Now, let's plot the surface in cylindrical coordinates:

> plot3d([u,Pi/2-v,v],u=0..1,v=0..2*Pi,
coords=cylindrical,axes='NORMAL',
orientation=[8,75]);

[Maple Plot]

Let's now use Maple to help evaluate the surface integral.

The indefinite integral is given by:

> int(sqrt(1+u^2),u);

[Maple Math]

and the definite integral is given by:

> int(sqrt(1+u^2),u=0..1);

[Maple Math]

SFU / Math & Stats / ~hebron / math252 / assignments / sol08 / maple / 4.7.20.html
Revised 24 March 1999 by John Hebron.