math10a

# math10a - Name TA PID Sec No Sec Time Math 10A Midterm Exam...

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Name: PID: TA: Sec. No: Sec. Time: Math 10A. Midterm Exam 1 January 28, 2011 Turn off and put away your cell phone. You may use one page of notes, but no books or other assistance during this exam. Read each question carefully, and answer each question completely. You may leave answers in symbolic form, for example 42 or ln(6) . Show all of your work; no credit will be given for unsupported answers. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clarification. # Points Score 1 7 2 6 3 6 4 4 Σ 23

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1. Given f ( x ) = 5 2 cos ( x 3 ) , g ( x ) = 1 x , determine each of the following: (a) (2 points) The domain of the composition f g . (b) (2 points) The amplitude and the period of the function f . (c) (1 point) The range of the function g . (d) (2 points) f ( g - 1 (2))
2. Let f ( x ) = x x 2 25 . (a) (2 points) Find the equation(s) of the vertical asymptote(s) of f . Please show your work. (b) (2 points) Find the equation(s) of the horizontal asymptote(s) of f . Please show your work. (c) (2 points) Find lim x 2 f ( x ) or explain why the limit does not exist. Please show

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