HP 40gs User Manual page 293

hp40g+.book Page 19 Friday, December 9, 2005 1:03 AM
Part 6
Step-by-Step Examples
Now press to see
the graphs.
x t ( )
To find the values of
return to CAS, type each function in turn and press
. (You may need to press
simplification).
For example, pressing
X 0
gives the result at the right:
Likewise, pressing
π
X 3
gives this
answer at the right:
The other results are:
2π 1
⎛ ⎞
----- - -- -
X =
⎝ ⎠
3 4
3
X π ( )
-- -
=
2
Y 0 ( )
= 0
π
– 3
⎛ ⎞
-- - --------- -
Y =
⎝ ⎠
3 4
⋅
2π – 3 3
⎛ ⎞
----- - -----------------
Y =
⎝ ⎠
3 4
Y π ( )
= 0
The slope of the tangents is
We can find the values of
using the lim command.
π 2 π ⋅
y t ( ) , , ---------- π
-- -
t = 0
and for
3
twice for further
y' t ( )
--------- -
m =
.
x' t ( )
y' t ( ) π 2 π ⋅
--------- - , , -- - ---------- π ,
t = 0
for
x' t ( )
3 3
,
3
by
16-19