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231sampleexam1

# 231sampleexam1 - MA 23100 NAME PUID Exam 1 INSTRUCTIONS No...

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MA 23100 NAME: Exam 1 PUID: INSTRUCTIONS No books or notes are allowed. You may use a one-line scientific calculator. No other electronic device is allowed. Be sure to turn off your cellphone. Show all your work in the space provided. Little or no credit may be given for an answer with insufficient or inconsistent work, even if the answer happens to be correct. Write answers in the boxes provided. All answers are expected to be simplified ( 2 4 1 2 , 2 x + x 3 x , e ln 2 2, etc). Question Possible Score 1 6 2 7 3 7 4 6 5 12 6 30 7 8 8 12 9 12 Total 100 1

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1.) (6 pts) Solve for x : 2 x 2 = 4 - 3 x x = 2.) (7 pts) Give the domain of the function f ( x ) = x 2 + x + 1 4 - x . 2
3.) (7 pts) Give all real solutions to the equation cos 7 t = - 1 . t = 4.) (6 pts) Solve for x . Give your answer as a decimal number rounded to at least 3 decimal places. (Note that the angle is given in radians.) x 3

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5.) (12 pts) Consider the graph of the function f ( x ) given below. Answer the following questions. (a) Find lim x →- 2 - f ( x ). (b) Find lim x →- 2 f ( x ). (c) Find lim x 4 + f ( x ). (d) Find lim x 6 f ( x ). (e) Is f ( x ) continuous at x = - 3? (f) Is f ( x ) continuous at x = 2? 4
6.) (30 pts) Find the following limits algebraically. No credit will be given for

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231sampleexam1 - MA 23100 NAME PUID Exam 1 INSTRUCTIONS No...

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