Graphics Programs Reference
In-Depth Information
integration.
Hint
:
m
6s
1s
t
=
(
v
/
P
)
dv
which canbe derived fromNewton'slaw
F
=
m
(
dv
/
dt
) and the definition of power
P
=
Fv
.
v
(m/s)
0
1
.
0
1
.
8
2
.
4
3
.
5
4
.
4
5
.
1
6
.
0
P
(kW)
0
4
.
7
12
.
2
19
.
0
31
.
8
40
.
1
43
.
8
43
.
2
3. Evaluate
1
−
1
cos(2 cos
−
1
x
)
dx
with Simpson's 1/3rule using 2,4and 6 panels.
Explain the results.
4.Determine
1
x
4
)
−
1
dx
with the trapezoidal rule using five panels and com-
pare the result with the “exact”integral0
(1
+
.
243 75.
Hint
:use the transformation
x
3
=
1
/
t
.
5.
F
x
The table below gives the pull
F
of the bowas a function of the draw
x
. If the bow
is drawn 0
075-kg arrowwhenitleaves the bow.
Hint:
the kineticenergy of arrow equals the work done in drawing the bow; that
is,
mv
2
.
5m, determine the speed of the 0
.
=
0
.
5m
0
/
2
F dx
.
x
(m)
0
.
00
0
.
05
0
.
10
0
.
15
0
.
20
0
.
25
F
(N)
0
37
71
104
134
161
x
(m)
0
.
30
0
.
35
0
.
40
0
.
45
0
.
50
F
(N)
185
207
225
239
250
6. Evaluate
0
x
5
2
dx
by Romberg integration.
3
x
3
+
−
7. Estimate
0
f
(
x
)
dx
as accuratelyas possible, where
f
(
x
) is definedbythe data
x
0
π/
4
π/
2
3
π/
4
π
f
(
x
)
1
.
0000
0
.
3431
0
.
2500
0
.
3431
1
.
0000
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