Activities 729
Method 2: Symbolic Manipulation
Perform the following steps to solve the equation
sin(x)=cos(x) with respect to x.
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
V. Detailed information about the steps used in this example can be
found in Symbolic Manipulation and 3D Graphing.
1. On the Home screen, enter
solve(sin(x)=
cos(x),x)
.
The solution for
x is where @n1 is any
integer.
2. Using the
ceiling( ) and floor( ) functions,
find the ceiling and floor values for the
intersection points as shown.
Note: Move the cursor into the history
area to highlight the last answer. Press
¸ to copy the result of the general
solution.
3. Enter the general solution for x and apply
the constraint for
@n1 as shown.
Compare the result with Method 1.
Note: To get the with operator:
@ Í