Find the flux of the curl of field F through the shell S.F = 3x2yi - 3xy2j + ln zk ; S: r(r, ?) = r cos ?i + r sin ?j + 4rk, 0 ? r ? 4 and 0 ? ? ? 2?
A. 128
B. - 128
C. 384?
D. - 128?
Answer: C
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Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 9 B. 52 C. 36 D. 18
Subtract.85,725 - 15,049
A. 70,576 B. 71,076 C. 70,676 D. 72,076
Suppose that the graph of is given f is given. Describe how the graph of the function y = f(x - 3) - 3 can be obtained from the graph of f. Select the correct answer.
a. Shift the graph 3 units to the right and 3 units down. b. Shift the graph 3 units to the right and 3 units up. c. Shift the graph 3 units to the left and 3 units up. d. Shift the graph 3 units to the left and 3 units down. e. None of these
If an investment is growing continuously for t years, its annual growth rate r is given by the formula 
where P is the current value and Po is the amount originally invested.
?
An investment of $12,400 in an Internet company in 1992 was worth $12,400,000 in 1999. Find the investment's average annual growth rate during this period.
?
Please enter your answer as a percent, rounded to the nearest 1 percent.
?
__________ %
Fill in the blank(s) with the appropriate word(s).