final exam college algebra

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Question 1
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What is the polar representation of z = 6i?



Select one:
a. 6 cis i

b. 6 cis π

c. π cis 6

d. 6 cis (π/2)

e. 36




Question 2
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On a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).



Select one:
a. (2, –2)

b. (2, 0)

c. (0, –2)

d. (0, 2)

e. (2, 2)




1 of 5 29-Oct-22, 7:05 PM

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Question 3
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If an ant is 50 feet away from a tree growing straight up, and the ant has to look up at an angle of 70 degrees to see the top of
the tree, how tall is the tree? Select the closest answer.



Select one:
a. 20 feet

b. 50 feet

c. 1,400 feet

d. 140 feet

e. 1,000 feet




Question 4
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If f(x) = 3x + 2 and g(x) = x – 4, (g/f)(1) is:



Select one:
a. Undefined

b. –3/5

c. –5/3

d. 3/5

e. 5/3




2 of 5

29-Oct-22, 7:05 PM