Graphics Programs Reference
In-Depth Information
<
<
.
25.
Use any method to find
all
real solutions in 0
x
1
5 of the simultaneous
equations
tan
x
−
y
=
1
cos
x
−
3 sin
y
=
0
26.
The equation of a circle is
a
)
2
b
)
2
R
2
−
+
−
=
(
x
(
y
where
R
is the radius and (
a
b
) are the coordinates of the center. If the coordinates
of three points on the circle are
,
x
8
.
21
0
.
34
5
.
96
y
0
.
00
6
.
62
−
1
.
12
determine
R
,
a
and
b
.
27.
R
O
The trajectory of a satellite orbiting the earth is
C
R
=
+
θ
+
α
1
e
sin(
)
where(
R
areconstants
(
e
isknown as the eccentricity of the orbit). If the satellite wasobservedat the
following three positions
,θ
) are the polar coordinates of the satellite, and
C
,
e
and
α
30
◦
0
◦
30
◦
θ
−
R
(km)
6870
6728
6615
determine the smallest
R
of the trajectory and the corresponding valueof
θ
.
28.
y
45
v
61 m
O
x
300 m
θ
Aprojectile islaunchedat
O
with the velocity
v
at the angle
to the horizontal.
The parametricequation of the trajectory is
x
=
(
v
cos
θ
)
t
1
2
gt
2
y
=−
+
(
v
sin
θ
)
t
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