231sampleexam1solution

231sampleexam1solution - MA 23100 NAME PUID Exam 1...

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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 2 x 2 + 3 x - 4 = 0 Using the quadratic formula: x = - 3 ± p 3 2 - 4(2)( - 4) 2(2) = - 3 ± 414 x = - 3 ± 414 2.) (7 pts) Give the domain of the function f ( x ) = x 2 + x + 1 4 - x . Because we can’t divide by 0, we need 4 - x 6 = 0 4 - x 6 = 0 x 6 = 4 But, because of the square root, we also need 4 - x 0 4 x or x 4 Putting these together, the domain is x < 4 x < 4 2
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3.) (7 pts) Give all real solutions to the equation cos 7 t = - 1 .
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