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
Answer: C
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Solve the problem.The radial flow field of an incompressible fluid is shown below. Which of the closed paths would exhibit a non-zero flux?
A. A, B, and C B. C C. A and B D. none of these
Use Descartes' Rule of Signs to determine the possible number of positive and negative real zeros for the function. Then, use a graph to determine the actual number of positive and negative real zeros.P(x) = x5 + x4 + x2 + x + 5
A. possible: 0 pos, 1 neg
actual: 0 pos, 1 neg
B. possible: 0 pos, 2 or 0 neg
actual: 1 pos, 0 neg
C. possible: 0 pos, 1 or 3 neg
actual: 0 pos, 1 neg
D. possible: 1 or 3 pos, 0 neg
actual: 1 pos, 0 neg
Refer to the following figure and determine the coordinates of point 
and the quadrant in which it is located.
?
?
A. (3, -4) and first quadrant B. (2, -2) and first quadrant C. (2, -2) and fourth quadrant D. (-4, 0) and fourth quadrant E. (3, -4) and fourth quadrant
Find the absolute value.
A. -23 B. 46 C. 23 D. 0