Solve the problem.The output voltage of a generator is given by 
Express the voltage as the sum of a sine and a cosine function.
A. V = 79 cos 2?ft + 79 sin 2?ft
B. V = 79
cos 2?ft - 79 sin 2?ft
C. V = 79
sin 2?ft + 79 cos 2?ft
D. V = 79
cos 2?ft + 79 sin 2?ft
Answer: D
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Solve the problem.Evaluate 
at t = 4 for the function w(x, y, z) = exyz2; x = t, y = t, z = 
.
A. 
e
B. 
C. 0
D. - 
e
Find the apportionment asked for.A small country consists of 7 provinces with the following populations: 
There are 300 federal judges to be apportioned according to the population of each province. Find the apportionment for province G using Webster's method.
A. 56 B. 55 C. 53 D. 54
Provide an appropriate response.A red urn contains 4 red marbles, 2 blue marbles, and 4 green marbles. A blue urn contains 2 red marbles, 2 blue marbles, and 1 green marble. A green urn contains 3 green marbles. A marble is selected from an urn, the color is noted, and the marble is returned to the urn from which it was drawn. The next marble is drawn from the urn whose color is the same as the marble just drawn. Thus, this is a Markov process with three states: draw from the red urn, draw from the blue urn, or draw from the green urn. Find the limiting matrix 
, if it exists, and describe the long-run behavior of this process.
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Write the vector v in the form ai + bj, given its magnitude 
and the angle ? it makes with the positive x-axis.
= 11, ? = 180°
A. v = -11i - 11j B. v = 11j C. v = -11i D. v = -11j