Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3yi + yj + zk; C: the counterclockwise path around the boundary of the ellipse 
+ 
= 1
A. 16?
B. -48?
C. 48?
D. -48
Answer: B
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Solve the system of equations.3x - y = 02y + z = 19x + 4z = 30
A. x = -2, y = -6, z = -7 B. x = 2, y = 6, z = 7 C. x = 4, y = 12, z = 14 D. Inconsistent
Which combinatorial reasoning error did Batanero et al (1997) find to be the most prevalent among the choices listed below?
a. Changing the problem from one type to another and misinterpreting the meanings of words in a problem b. Thinking that order matters in cases where it does not (and vice versa) c. Thinking that identical objects are distinguishable (or vice versa) d. Using unsystematic strategies for listing the possible combinations for a situation.
Provide an appropriate response.The classification "head of household" is an example of a taxpayer's filing status.
A. True B. False
Graph the function. Use the graph to find any relative maxima or minima.f(x) = x2 - 3
A. Relative minimum of -3 at x = 0 B. Relative minimum of -3 at x = 1 C. Relative maximum of -3 at x = 0 D. No relative extrema