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832 <strong>Chapter</strong> 9 Topics in Analytic Geometry<br />
58. (a)<br />
(b)<br />
x v 0 cos t 85 cos 50t<br />
y h v 0 sin t 16t 2 85 sin 50t 16t 2<br />
80<br />
0<br />
0<br />
240<br />
The maximum height is approximately 66.25 feet when t 2.035 seconds.<br />
(c) The horizontal distance is approximately 222.35 feet.<br />
(d) You could solve the equation y 85 sin 50t 16t 2 0 for t 4.0696.<br />
Then, x 222.35 feet.<br />
59. True<br />
x t first set<br />
y t 2 1 x 2 1<br />
x 3t second set<br />
y 9t 2 1 3t 2 1 x 2 1<br />
60. False. The graph of x t 2 , y t 2 represents the<br />
portion of the line y x in the first quadrant.<br />
61. False. For example, x t 2 and y t does not<br />
represent y as a function of x.<br />
62. False. The equations represent a line.<br />
63. Sample answer:<br />
x cos <br />
y 2 sin <br />
64. The graph is the same, but the orientation is<br />
reversed.<br />
65.<br />
fx <br />
4x2<br />
x 2 1 4x2<br />
Symmetric about the y-axis<br />
Even function<br />
66.<br />
fx x, x ≥ 0<br />
No symmetry<br />
Neither even nor odd<br />
67.<br />
y e x e x ; e x e x<br />
No symmetry<br />
Neither even nor odd<br />
x 2 1 fx 68.<br />
x 2 2 y 4<br />
y x 2 4x<br />
No symmetry<br />
Neither even nor odd<br />
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