Texas Instruments TI-83 Plus Manual Book page 12

10. To test that x = 6 is the maximum, remember to check the
sign of the second derivative at x = 6 (i.e., make sure that
' '
V (6)
If you graph V(x), you can see that 6 is the maximum value for x
that you can use to construct a box.
11. Since the volume of the box is V(x) = x(36-2x)
the maximum volume by substituting 6 for x. (Answer: 3456)
Now that you have completed the Getting Started example, you
can read further for more detailed instructions on how to use the
Polynomial Root Finder application. Some topics you might want
to explore are:
•
Loading a list of coefficients into the application
•
Storing coefficients to a list
•
Storing solutions (roots) to a list
•
Storing equations to the Y= editor
TI-83 Plus Polynomial Root Finder / Simultaneous Equation Solver Application
<
).
0
The reasonable
physical domain has
x from 0 to 18 (fold
the paper in half).
This window gives a
nice picture of the
function for positive
x = 0 to 25.
2
, you can find
Page 12