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07mid1asol

# 07mid1asol - MATH 1300-MIDTERM 1(a-2007 NAME and I.D...

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MATH 1300-MIDTERM # 1(a)-2007 NAME and I.D.# Instructions: This midterm exam consists of 4 multiple choice questions and 3 long an- swer questions. The multiple choice questions are worth 5 points each, and the long answer questions are as indicated. The total value of the exam is 60 points. Place your answers to the multiple choice questions in the boxes below. All your work on the long answer questions must be clearly marked. You may use the backs of pages. For long answer questions, YOU MUST SHOW YOUR WORK NO CALCULATORS. NO BOOKS. NO NOTES. If you need additional scrap paper, it will be provided by the proctors. Answers: C B E A #1 #2 #3 #4 1

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Multiple Choice Section Questions (1-4) Question 1 For what value of a is the following function continuous? f ( x ) = x 2 + 4 x + 1 if x > 2 ax + 2 otherwise A) 12 5 B) 13 5 C) 11 2 D) 1 7 E) 4 3 Solution We must have lim x 2 - f ( x ) = lim x 2 + f ( x ). The function f ( x ) is continuous for x < 2 and x > 2. Therefore lim x 2 - f ( x ) = 2 a + 2 , lim x 2 + f ( x ) = 4 + 8 + 1 = 13 Therefore, a satisfies 2 a + 2 = 13. So, a = 11 2
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07mid1asol - MATH 1300-MIDTERM 1(a-2007 NAME and I.D...

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