Precalculus Final Exam Review Worksheet With Answer Key - Math 170, Santa Ana College Page 7
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9Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes.
47) 9x 2 - 4y 2 = 36
47)
Find the vertex, focus, and directrix of the parabola with the given equation.
48) (y + 2) 2 = 16(x + 1)
48)
Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.
49) x 2 - 6x - 6y - 21 = 0
49)
Find the indicated sum.
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8i
i = 3
Express the sum using summation notation. Use a lower limit of summation not necessarily 1 and k for the index of
summation.
51) 9 + 11 + 13 + 15 + . . . + 25
51)
Write a formula for the general term (the nth term) of the geometric sequence.
52) 8, 16, 32, 64, 128, . . .
52)
Solve the problem.
53) A theater has 38 rows with 25 seats in the first row, 29 in the second row, 33 in the
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third row, and so forth. How many seats are in the theater?
Find the sum of the infinite geometric series, if it exists.
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54) 5 +
+ . . .
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+
+
2
4
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Write the first three terms in the binomial expansion, expressing the result in simplified form.
55) (x + 2 ) 20
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