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 = 2
, y = 0, x = 1
A. 4?
B. 10?
C. 
?
D. 
?
Answer: C
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Solve the problem.An experienced bank auditor can check a bank's deposits twice as fast as a new auditor. Working together it takes the auditors 18 hours to do the job. How long would it take the experienced auditor working alone?
A. 36 hr B. 18 hr C. 27 hr D. 54 hr
Find the composite function for the given functions.f ? g for f(x) = 
and g(x) = 8x - 8
A. 8
- 8
B. 2
C. 8
D. 2
Sketch the graph of the function and its inverse on the same coordinate axes.f(x) = (x + 4)3
A. 
B. 
C. 
D. 
The rate of change 
of the total number, in thousand of articles, of research articles in the prominent journal Physics Review written by researchers in Europe is shown in the graph, where t is time in years 
represents the start of 1983). Use both left and right Riemann sums with 8 subdivisions to
estimate the total number of articles in Physics Review written by researchers in Europe in the 16-year period beginning 1983. (Estimate each value of 
to the nearest 0.5). Use the sums to obtain an estimate of 
.
? 
?
A. 9,000 articles
B. 50,500 articles
C. 46,000 articles
D. 4,500 articles
E. 55,000 articles