HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 293
Part 6
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hp40g+.book Page 19 Friday, December 9, 2005 1:03 AM Now press the graphs. to see Part 6 Step-by-Step Examples To find the values of x(t) and y(t) for t = 0, π--, 2 33 return to CAS, type each function in turn and press . (You may need to press twice for further simplification). For example, pressing X 0 gives the result at the right: Likewise, pressing X π3 gives this answer at the right: The other results are: X ⎛ ⎝ 2--3--π--⎠⎞ = 1-4 X(π)= 3-2 Y(0)= 0 Y⎝⎛π-3-⎠⎞ = ---------34 Y⎝⎛2--3 -----3 3-4 Y(π)= 0 The slope of the tangents is m = yx---''--((--tt--))- . We can find the values of using the lim command. yx---''--((--tt--)) for t = 0, π--, 2 by 33 16-19
Step-by-Step Examples
16-19
Now press
to see
the graphs.
Part 6
To find the values of
and
for
return to CAS, type each function in turn and press
. (You may need to press
twice for further
simplification).
For example, pressing
X
0
gives the result at the right:
Likewise, pressing
X
3
gives this
answer at the right:
The other results are:
The slope of the tangents is
.
We can find the values of
for
by
using the
lim
command.
xt
()
yt
()
t
0
π
3
--
2
π
⋅
3
----------
π
,
,
,
=
π
X
2
π
3
------
⎝
⎠
⎛
⎞
1
4
--
=
X
π
(
)
3
2
--
=
Y
0
()
0
=
Y
π
3
--
⎝⎠
⎛⎞
3
–
4
---------
=
Y
2
π
3
------
⎝
⎠
⎛
⎞
3
3
⋅
–
4
-----------------
=
Y
π
(
)
0
=
m
y
'
t
()
x
'
t
()
----------
=
y
'
t
()
x
'
t
()
---------
t
0
π
3
--
2
π
⋅
3
----------
π
,
,
,
=
hp40g+.book
Page 19
Friday, December 9, 2005
1:03 AM