Finding Minimum Surface Area Of A Parallelepiped; Exploring A 3D Graph Of The Surface Area Of A Parallelepiped - Texas Instruments TITANIUM TI-89 User Manual

3. Enter the general solution for x and apply
the constraint for
Compare the result with Method 1.
To get the with operator, press:
Note:
Í

Finding Minimum Surface Area of a Parallelepiped

Finding Minimum Surface Area of a Parallelepiped Finding Minimum Surface Area of a Parallelepiped Finding Minimum Surface Area of a Parallelepiped
This activity shows you how to find the minimum surface area of a parallelepiped having
a constant volume
found in Symbolic Manipulation and 3D Graphing.

Exploring a 3D Graph of the Surface Area of a Parallelepiped

Exploring a 3D Graph of the Surface Area of a Parallelepiped
Exploring a 3D Graph of the Surface Area of a Parallelepiped Exploring a 3D Graph of the Surface Area of a Parallelepiped
Perform the following steps to define a function for the surface area of a parallelepiped,
draw a 3D graph, and use the
area.
1. On the Home screen, define the function
for the surface area of a
sa(x,y,v)
parallelepiped.
Enter:
define sa(x,y,v)=2
Activities
as shown.
@n1
. Detailed information about the steps used in this example can be
V
tool to find a point close to the minimum surface
Trace
x y + 2v/x+2v/y
† †
750