Engineering Math I – Fall 2014
Name:
Quiz #9
Section: 549 / 550 / 551
PART I: Multiple Choice. Read each problem carefully and work it out in the space
provided. Put a box around the answer you believe best answers the question. Calculators are not allowed.
Problem 1 (4 pts). Find the exact value of sin−1 (2).
(a) 2
(b)
5π
2
(c)
π
8
(d) None of the above.
Problem 2 (4 pts). What is the domain of cos−1 (2x − 1)?
(a) All real numbers x.
(b) [−1, 1]
(c) [0, 1]
(d) None of the above.
MATH 151:549-551 – Fall 2014
Quiz #9
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PART II: Free response. Read each problem carefully and work it out in the space
provided. Circle your final answer.
Problem 3 (6 pts). Find the derivative of each function.
√
(a) (2 pts) G(t) = cos−1 2t − 1
(b) (2 pts) y = tan−1 (sin x)
(c) (2 pt) y = sin−1 (x2 − 2x).
MATH 151:549-551 – Fall 2014
Problem 4 (6 pts). Find the limit.
(a) (2 pts) limx→2−
(b) (2 pts) limx→0
√ln x
2−x
2x−sin−1 x
2x+tan−1 x
3
(c) (2 pt) limx→∞ x5 e−x .
Quiz #9
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MATH 151:549-551 – Fall 2014
Quiz #9
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Bonus Problem (2 pts). State the domains of each function and its derivative from
Problem 3.