Calculate the flux of the field F across the closed plane curve C.F = xi + yj; the curve C is the closed counterclockwise path around the rectangle with vertices at    and 

A. 0
B. 24
C. 10
D. 26


Answer: C

Mathematics

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Simplify the expression.x ? x12

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Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = -x2(x - 1)(x + 3)

What will be an ideal response?

Mathematics

Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per two seconds, how long do you think it would take you to go through all these arrangements? ?

A. 7 days, 16 hours, 19 minutes, 12 seconds B. 16 days, 10 hours, 10 minutes, 26 seconds C. 3 days, 6 hours, 10 minutes, 26 seconds D. 6 days, 10 hours, 10 minutes, 26 seconds E. 3 days, 6 hours, 18 minutes, 20 seconds

Mathematics

Solve the problem.In how many ways can 8 people be lined up?

A. 20,160 B. 1 C. 40,320 D. 8

Mathematics