Solve the problem.A painting 1 meter high and 3 meters from the floor will cut off an angle ? to an observer, where 
assuming that the observer is x feet from the wall where the painting is displayed and that the eyes of the observer are 1.6 meters above the ground (see the figure). Find the value of ? for 
Round to the nearest tenth of a degree. 
A. 13.3°
B. 15.8°
C. 33.1°
D. 18.3°
Answer: B
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 2ex2, y = 0, x = 0, x = 1
A. 4(e - 1) ? B. 4e ? C. 2(e - 1) ? D. 1(e - 1) ?
Integrate the function f over the given region.f(x, y) = 
+ 
over the trapezoidal region bounded by the x-axis, y-axis, line 
and line 
A. 
B. 
C. 
D. 
Solve the problem.At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be 
At the end of the experiment, it had risen 
What was the liquid's temperature at the end of the experiment?
A. -30° C B. 40° C C. -40° C D. 30° C
Find an equation for the ellipse described.Vertices at (-2, 4) and (14, 4); focus at (12, 4)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
- 
= 1
D. 
+ 
= 1