The nth term of a sequence is given. Find the first 4 terms.an =
A. 1, 1, 1, 1
B. 1, - , 1,
C. - , 1,
, 1
D. - , -
,
,
Answer: D
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Set up an integral for the length of the curve.y = 4 cos x, 0 ? x ? ?
A.
B.
C.
D.
Find the limit of the sequence if it converges; otherwise indicate divergence.an = ln(4n + 9) - ln(3n - 5)
A. ln 1
B. ln
C. ln
D. Diverges
Use identities to find the indicated value for each angle measure.tan ? = , sin ? < 0
Find cos(2?).
A.
B.
C. -
D. -
Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 120 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be x'' by y'' by z'' (see the figure below). Then, , and the volume
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.)
?
?
A. x = 20 inches, y = 40 inches, z = 20 inches, V = 16,000 cubic inches
B. x = 20 inches, y = 20 inches, z = 17 inches, V = 6,800 cubic inches
C. x = 22 inches, y = 40 inches, z = 22 inches, V = 16,000 cubic inches
D. x = 22 inches, y = 39 inches, z = 17 inches, V = 14,586 cubic inches
E. x = 22 inches, y = 40 inches, z = 17 inches, V = 14,586 cubic inches