The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency?d = 8 - 5 cos (?t)
A. simple harmonic; 8 m; 2 sec; 
oscillation/sec
B. simple harmonic; 5 m; 
sec; 2 oscillations/sec
C. simple harmonic; -5 m; 2 sec; 
oscillation/sec
D. simple harmonic; 5 m; 2 sec; 
oscillation/sec
Answer: D
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A. ±5
B. -5i
C. -i
D. 5i
Find the focus and the directrix of the parabola.(y - 9)2 = -16(x + 2)
A. Focus: (-6, 9); directrix: x = 2 B. Focus: (2, 9); directrix: x = -6 C. Focus: (-6, 9); directrix: x = -2 D. Focus: (-6, 9); directrix: y = 2
Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.4x2 + 5xy + 4y2 - 8x + 8y = 0
A. x = 
(x' - y') and y = 
(x' + y')
B. x = 
x' - 
y' and y = 
x' + 
y'
C. x = -y' and y = x'
D. x = 
x' - 
y' and y = 
x' + 
y'
The figure shows an angle ? in standard position with its terminal side intersecting the unit circle. Evaluate the indicated circular function value of ?.Find sec ?.
A. - 
B. - 
C. 
D. 