An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 5;
T = 10 seconds
A. d = 5 cos (10t)
B. d = -5 cos (10t)
C. d = -5 cos 
D. d = 5 cos 
Answer: C
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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.24xy - 7y2 + 36 = 0
A. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±3)
B. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
C. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ± 
)
D. ? = 53.1°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
Find the area of the specified region.Inside the smaller loop of the limacon r = 3 + 6 sin ?
A. 9?
B. 
(2? - 3
)
C. 
D. 3(3
- ?)
Add.-2 + 6 + (-14)
A. 18 B. -10 C. 22 D. -6
Factor the polynomial completely.7x2 + 26x - 8
A. (7x - 2)(x + 4) B. (7x + 2)(x - 4) C. (7x + 4)(x - 2) D. (7x - 4)(x + 2)