Find all the real zeros of f(x) = 4x3 - 12x2 - 15x - 4.
A. x = 
, 2
B. x = 
, 
C. x = 
, 
D. x = 
, 4
E. x = 
, -4
Answer: D
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Compute the gradient of the function at the given point.
A. ?f = - 
i + 
j
B. ?f = - 
i + 
j
C. ?f = - 
i - 
j
D. ?f = - 
i - 
j
Evaluate 
for the given x and function f.f(x) = 2x2 + 5 for x = 4
A. 21 B. 32 C. 16 D. Does not exist
A delivery truck must deliver packages to 6 different store locations (A, B, C, D, E, and F). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.
In applying the cheapest-link algorithm to this graph, the fourth edge added to the circuit is:
A. AD. B. BF. C. CE. D. BC. E. none of these
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x4 - 5x3 + 3x2 + 9x - 3; (-5, 5)
A. local minimum at (-0.61, -5.64) local maximum at (1.41, 6.12) local minimum at (3, -3) B. local minimum at (-3, -3) local maximum at (-1.32, 5.64) local minimum at (0.57, -6.12) C. local minimum at (-0.57, -6.12) local maximum at (1.32, 5.64) local minimum at (3, -3) D. local minimum at (-1, -6) local maximum at (1, 6) local minimum at (3, -3)