Heights (in inches) obtained by a group of people in a random survey is reported in the table. What is the expected height (in inches)?
HeightsProbability550.007600.024650.112700.357750.357800.112850.024900.007?
A. 80 in.
B. 78.3 in.
C. 78 in.
D. 71.8 in.
E. 72.5 in.
Answer: E
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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 7x - x2 and y = x about the line x = 6
A. 324? B. 162? C. 108? D. 216?
Find the first two nonzero terms of the Maclaurin expansion of the given function.f(x) = xe-x2
A. x + x3 + ...
B. x - x3 + ...
C. x + 
x3 + ...
D. x - 
x2 + ...
Provide an appropriate response. A local supermarket has been hired you to design a parking lot. If you allow 12 feet between stripes and 14 feet for width of traffic lanes one way (a two way lane needs 28 feet), design a lot that will hold 60 vehicles. Consider rectangular parking spaces versus parallelogram shaped parking spaces. Would one design need a bigger lot than the other? Is one design more safety conscious than the other?
What will be an ideal response?
Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = -x2 + 4x + 5 
A. vertex (-2, -9)
intercepts (-5, 0), (1, 0), (0, -5)
B. vertex (2, -9)
intercepts (5, 0), (- 1, 0), (0, -5)
C. vertex (-2, 9)
intercepts (-5, 0), (1, 0), (0, 5)
D. vertex (2, 9)
intercepts (5, 0), (- 1, 0), (0, 5)