Find the power function that the graph of f resembles for large values of |x|.f(x) = 3x - x3
A. y = x2
B. y = -x3
C. y = x4
D. y = x3
Answer: B
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Find the absolute maxima and minima of the function on the given domain.
on the closed triangular region bounded by the lines 
and 
A. Absolute maximum: 172 at 
absolute minimum: 0 at 
B. Absolute maximum: 117 at 
absolute minimum: 0 at 
C. Absolute maximum: 117 at 
absolute minimum: 52 at 
D. Absolute maximum: 172 at 
absolute minimum: 117 at 
Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 5(4 + t), y = t - 5, and z = t + 4. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. (10, -7, 2), minimum; (30, -3, 6), maximum B. (30, -3, 6), minimum; (0, -5, 0), minimum C. (30, -3, 6), minimum D. (10, -7, 2), minimum
Solve the problem.The 100th term in the arithmetic sequence 3, 7, 11, 15, . . . is
A. 407. B. 103. C. 399. D. 403. E. none of these
Multiply and simplify. Assume all variables represent nonnegative real numbers. Write your answer in radical notation.
A. x6y9
B. x6y7
C. x6y8
D. x6y8