A cylindrical container for storing radioactive waste is to be constructed from lead and have a thickness of 6 in. (see the figure). If the volume of the outside cylinder is to be 16? ft3, find the radius and the height of the inside cylinder that will result in a container of maximum storage capacity.
?
?
Hint: Show that the storage capacity (inside volume) is given by
?
?
A. 
B. 
C. ?
D. ?
Answer: B
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Let A and B be sets with cardinal numbers, n(A) = a and n(B) = b, respectively. Decide whether the statement is true or false.If B ? A, n(B) = n(A) - n(A - B).
A. True B. False
If the sequence is arithmetic, find the common difference. If the sequence is not arithmetic, say so.2, 1, 0, -1, . . .
A. -1 B. -2 C. -3 D. Not arithmetic
Provide an appropriate response. Under which of the following conditions of k will this quadratic, x2 + 8x + k = 0, have real-number, but unequal roots?
A. k ? 16 B. k ? 16 C. k > 16 D. k < 16
Find the Taylor polynomial of lowest degree that will approximate F(x) throughout the given interval with an error of magnitude less than than 10-3.F(x) = 
, [0, 0.75]
A. x + 
+ 
B. x + 
C. x + 
+ 
D. x + 