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. 36?
B. 12?
C. -36
D. -36?


Answer: D

Mathematics

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250 students in a math class take the final exam. The scores on the exam have an approximately normal distribution with mean ? = 75 and standard deviation ? = 10.Approximately how many students had test scores between 68.25 and 85?

A. 107 B. 85 C. 188 D. 147 E. none of these

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Solve the equation.10y = 5y + 5 + 4y

A. -50 B. -5 C. 50 D. 5

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Provide an appropriate response.Explain why the order in which coordinates are subtracted to find slope does not matter as long as x-coordinates are subtracted in the same order as y-coordinates.

What will be an ideal response?

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The graph of ax2 + bx + c is given. Use this graph to solve ax2 + bx + c = 0, if possible.

A. -6 B. 0 C. 6 D. -6, 0

Mathematics