Find the equilibrium vector for the transition matrix.

A. [0.6 0.4]
B. [0.77 0.33]
C. [0.4 0.6]
D. [0.33 0.77]


Answer: C

Mathematics

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The average enrollment E at a nearby school t years after 2010 is given by the following table.  Use an exponential model for these data to determine the yearly percentage decrease in enrollment each year since 2010. Round your answer to two decimal places.  t 0 1 2 3 E 982.00 873.98 777.84 692.28?

A. 11.00% B. 13.00% C. 89.54% D. 89.00%

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State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions.a = ,  b = 

A. Parallel, same direction B. Perpendicular C. Parallel, opposite directions D. Neither

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = ln (x2 + y2) i + tan-1 j; C is the region defined by the polar coordinate inequalities  and 

A. 0 B. 9 C. 41 D. 18

Mathematics

Solve the problem.The sound produced by touching each button on a touch-tone phone is described by y = sin 2?lt + sin 2?htwhere l and h are the low and high frequencies (cycles per second) in the figure shown.Use a calculator to find the graph of the sound emitted by touching the 5 key in a [0, 0.01, 0.001] by [-2, 2, 1] viewing rectangle.

A.

B.

C.

D.

Mathematics