Divide numerator and denominator by the highest power of x in the denominator to find the limit.

A. 9
B. does not exist
C. 81
D. 729


Answer: A

Mathematics

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Determine whether the specified paradox occurs.A city has 204 police officers to be apportioned among 4 precincts based on the population of each precinct. The populations are given in the following table. Does the Alabama paradox occur using Hamilton's method if the number of police officers is increased from 204 to 205?

A. Yes B. No

Mathematics

Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = -3y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-3t

A. y(1) ? 0.01024; 0.20000 B. y(1) ? 0.01024; 0.04979 C. y(1) ? 0.02560; 0.02419 D. y(1) ? 0.01024; 0.03955

Mathematics

Provide an appropriate response.Simplify: (-15) ÷ (-5)

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the probability.A bag contains 26 marbles, of which  3 are blue and 9 are green. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?

A.
B.
C.
D.

Mathematics