Provide an appropriate response.Use Lagrange multiplier to maximize f(x, y, z) = xy + z subject to x2 + y2 + z2 = 1.
A. f(1, 1, 1) = 1
B. f(1, 1, 0) = 1
C. f(0, 0, 1) = 1
D. f(0, 1, 0) = 1
Answer: C
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Solve. Check for extraneous solutions.
+ 
= -1
A. 
B. {1}
C. {0}
D. ?
Solve the problem.Acme Industries pays at the time-and-a-half rate for all time worked over 8 hours in any one day no matter how many hours are worked in a week. Susan Jones, an employee of Acme Industries, makes $14.32 an hour as her regular rate of pay. Last week she worked 9 hours on Monday, 6.5 hours on Tuesday, 10.25 hours on Wednesday, 7 hours on Thursday, and 12 hours on Friday. What were her gross earnings for the week?
A. $643.73 B. $692.73 C. $660.73 D. $765.73
Provide an appropriate response.Perform the indicated operation if possible: 
Fill in the blank(s) with the appropriate word(s).
Classify the equation as a contradiction, an identity, or a conditional equation. 3x - (4 - x) = 9[7 - (6 + 8x - 7)]
A. Contradiction B. Conditional C. Identity