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 = 6 sin (5t)
A. simple harmonic; -6 m; 
? sec; 
oscillations/sec
B. simple harmonic; 6 m; 5 ? sec; 
oscillations/sec
C. simple harmonic; 6 m; 
? sec; 
oscillations/sec
D. simple harmonic; 6 m; 
sec; 
? oscillations/sec
Answer: C
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Find an equation of the line satisfying the following conditions.If possible, write the equation in slope-intercept form. Vertical, passing through (-8.66, -2.99)
A. y = -8.66 B. x = -2.99 C. y = -2.99 D. x = -8.66
Write the equation of the line in slope-intercept form.Write the equation of the line parallel to 7x + y = 2 that passes through the point (4, -4).
A. y = - 
x - 
B. y = - 7x - 24
C. y = - 7x + 24
D. y = 7x - 24
Find the center, transverse axis, vertices, and foci of the hyperbola.
- 
= 1
A. center at (0, 0)
transverse axis is y-axis
vertices: (-7, 0), (7, 0)
foci: (-5, 0), (5, 0)
B. center at (0, 0)
transverse axis is y-axis
vertices: (0, -7), (0, 7)
foci: (- 
, 0), (
, 0)
C. center at (0, 0)
transverse axis is x-axis
vertices: (-5, 0), (5, 0)
foci: (- 
, 0), (
, 0)
D. center at (0, 0)
transverse axis is y-axis
vertices: (0, -7), (0, 7)
foci: (0, - 
), (0, 
)
Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.f(x) = 2x3 - 1 from x = 1 to x = 6; n = 5
A. 825 B. 800 C. 875 D. 850