Decide whether the graph of the equation opens up, down, to the left, or to the right; and whether it is wider, narrower, or the same shape as the graph of 
(or 
).x = y2 + 8y + 3
A. To the right; narrower
B. To the right; wider
C. To the right; same
D. To the left; same
Answer: C
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Evaluate the surface integral of the function g over the surface S.G(x, y, z) = 
; S is the surface of the parabolic cylinder 10y2 + 2z = 14 bounded by the planes 
x = 1, y = 0, and z = 0
A. 
B. 
C. 
D. 
Find the volume of the described solid.The base of a solid is the region between the curve y = 5cos x and the x-axis from x = 0 to x = ?/2. The cross sections perpendicular to the x-axis are squares with diagonals running from the x-axis to the curve.
A. 
?
B. 
?
C. 6?
D. 
?
Solve the problem.Shari enjoyed services at a spa. The total cost of these services was $300. If she decides to leave a 7% tip, how much should the tip be? Round your answer to the nearest cent.
A. $21.00 B. $24.00 C. $18.00 D. $210.00
Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.Twice some number
A. 2 + x
B. 
C. 2 - x
D. 2x