The profit earned when n items are produced is given by the function 
. If either increasing production or decreasing production will result in a decrease in profits, what can be said about marginal profit 
?
?
A. is positive.
B. is negative.
C. is zero.
D. is linear.
Answer: C
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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 x-axis.x = 5y2, x = - 5y, y = 5
A. 
?
B. 
?
C. 
?
D. 
?
Perform the indicated operations and simplify.
+ 
A. 
B. 
C. 
D. 
Consider the given points P and Q. a. Find 
b. Find the magnitude of 
c. Find two unit vectors parallel to 
P(4, 13, -2), Q(-1, 14, 8)
A. a. 
;
b. 3
c. 
, - 
B. a. 
;
b. 5
c. 
, - 
C. a. 
;
b. 
c. 
, - 
D. a. 
;
b. 
c. 
, - 
Solve the problem. Express the answer in scientific notation to two decimals.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 
cubic meters. If the earth could be filled with bacteria, how many would it contain?
A. 5.0 × 10-31 bacteria B. 2.0 × 1030 bacteria C. 2.0 × 10-30 bacteria D. 5.0 × 1031 bacteria