Perform the indicated operation and simplify.
- 
A. 
B. 
C. 
D. 
Answer: C
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Estimate the error in the quadratic approximation of the given function at the origin over the given region.
A. |E(x, y)| ? 0.06 B. |E(x, y)| ? 0.072 C. |E(x, y)| ? 0.0053 D. |E(x, y)| ? 0.0982
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(y + 1)2 - 16(x - 1)2 = 16
A. center: (-1, 1)
transverse axis is parallel to y-axis
vertices: (-1, -3) and (-1, 5)
foci: (-1, 1 - 
) and (-1, 1 + 
)
asymptotes of y + 1 = - 4(x - 1) and y + 1 = 4(x - 1)
B. center: (1, -1)
transverse axis is parallel to y-axis
vertices: (1, -5) and (1, 3)
foci: (1, -1 - 
) and (1, -1 + 
)
asymptotes of y + 1 = - 4(x - 1) and y + 1 = 4(x - 1)
C. center: (1, -1)
transverse axis is parallel to x-axis
vertices: (-1, -4) and (1, 4)
foci: (1, - 
) and (1, 
)
asymptotes of y + 1 = - 4(x - 1) and y + 1 = 4(x - 1)
D. center: (1, -1)
transverse axis is parallel to y-axis
vertices: (2, -4) and (2, 4)
foci: (2, 0 - 
) and (2, 0 + 
)
asymptotes of y + 1 = - 
(x - 1) and y + 1 = 
(x - 1)
Solve the problem.A weight attached to a spring is pulled down 2 inches below the equilibrium position. Assuming that the frequency of the system is 
cycles per second, determine a trigonometric model that gives the position of the weight at time t seconds.
A. y = -2 cos 
t
B. y = 2 cos 6t
C. y = 2? cos 3t
D. y = -2 cos 6t
Solve.A painting in a museum is 240 centimeters wide. Convert this width to inches. Round answer to the nearest hundredth, if necessary.
A. 94.49 in. B. 787.2 in. C. 73.17 in. D. 609.6 in.