Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -6yi - 4xj + 5z3k ; C: the portion of the plane 3x + 4y + 8z = 8 in the first quadrant

A. 2
B. - 
C. 0
D.


Answer: D

Mathematics

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Sketch the graph and show all local extrema and inflection points.y = |x2 - 6x|

A. Local minima: (0, 0), (6, 0)
Local maximum: 
Inflection points: (0, 0), (6, 0)

B. Local minima: (0, 0), (6, 0)
Local maximum: 
No inflection points

C. Local maximum: 
Inflection points: (0, 0), (6, 0)

D. Local minimum: 
No inflection points

Mathematics

Solve the problem. Round to the nearest cent unless otherwise noted.John bought a camera that regularly sold for $262.95 at a 26% discount. What was the amount of the discount?

A. $65.77 B. $71.87 C. $68.37 D. $68.11

Mathematics

Solve the problem.The First National Bank pays 6% interest per year on non-checking accounts. What is the annual income on a non-checking account of ? Round to the nearest dollar.

A. $36,450  B. $893,333 C. $3645  D. $89,333 

Mathematics

The loudness L(x), measured in decibels, of a sound of intensity x, measured in watts per square meter, is defined as  watt per square meter is the least intense sound that a human ear can detect. Determine the loudness, in decibels, of the sound.A particular Boeing 747 jetliner produces noise at a loudness level of 113 decibels. Find the intensity level (round to the nearest hundredth) in watt per square meter for this noise.

A. 0.20 watt per square meter B. 0.80 watt per square meter C. 0.40 watt per square meter D. 0.10 watt per square meter

Mathematics