Find the indicated maxima or minima.Minimum of f(x, y, z) = x2 + y2 + z2,subject to x + 2y - z = 3
A. 
when x = 
, y = 1, z = - 
B. 
when x = 
, y = 
, z = - 
C. 2 when x = 0, y = 1, z = -1
D. 
when x =- 
, y = 2, z = 
Answer: A
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Simplify the complex fraction.
?
?
A. 
B. ?
C. ?
D. ?
E. ?
Suppose that a certain radioactive substance has a half-life of 45 years. If there are presently 1,920 milligrams of the substance, how much, to the nearest milligram, will remain after 180 years?
A. Q = 130 milligram B. Q = 120 milligram C. Q = 135 milligram D. Q = 95 milligram E. Q = 125 milligram
Determine if the series converges absolutely, converges, or diverges.
A. converges conditionally B. converges absolutely C. diverges
Find the prime factorization of the number. Write the answer with exponents when repeated factors appear.175
A. 72 B. 25 ? 7 C. 52 ? 7 D. 25 ? 5