Find the flux of the vector field F across the surface S in the indicated direction.F = 5xi + 5yj + z3k; S is portion of the cylinder x2 + y2 = 4 between z = 0 and z = 4; direction is outward

A. -160?
B. 80
C. 160?
D. 160


Answer: C

Mathematics

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The "forgetting curve" for memorizing nonsense syllables is given by equation below, where R is the percentage who remember the syllables after t seconds.

?

?
In how many seconds would only 10%  of the students remember? Round your answer to the nearest second.
?
Solve for the exact value of t in terms of R.

What will be an ideal response?

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Use an amortization table to solve the problem. Round to the nearest cent.The monthly payments on a $61,000 loan at 14% annual interest are $758.84. How much of the first monthly payment will go toward interest?

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Use the Half-angle Formulas to find the exact value of the trigonometric function. cos 22.5°

A. - 
B.
C. - 
D.

Mathematics

List the set in roster form.S = {x| x is an integer greater than -5}

A. {-5, -4, -3, -2, -1, 0, . . . } B. {-4, -3, -2, -1, 0, . . . } C. {0, 1, 2, 3, 4, 5, . . . } D. {1, 2, 3, 4, 5, . . . }

Mathematics