mid1-2007- - ln(5)-ln(3) Question 4 Suppose the prot for a...

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MATH 1300-MIDTERM # 1-2007 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: #1 #2 #3 #4 1
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Multiple Choice Section Questions (1-4) Question 1 For what value of the function 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 Question 2 Find the equation of the tangent line of the function f ( x ) = x x 2 +2 at x = 1 . A) y = 3 x 4 - 3 4 B) y = x 9 + 2 9 C) y = 2 x 5 - 2 5 D) y = x - 1 E) y = x 2 - 1 2 2
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Question 3 Solve the following equation for t . 5 t = 3 t +1 A) t = ln(3) ln(5) B) t = ln(3) ln(2) C) t = ln(3) 2 D) t = ln(5) ln(3) E) t = ln(3)
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Unformatted text preview: ln(5)-ln(3) Question 4 Suppose the prot for a given product is given by P ( x ) = 5 + x + x 2 . Find the marginal prot when x = 4 . A) 9 10 B) 4 7 C) 5 8 D) 7 11 E) 3 10 3 Long Answer Section Questions (5-7) Question 5 (14 points) Using only the denition of derivative as a limit, calculate f ( x ) where f ( x ) = 3 x 2-x-2 4 Question 6 (14 points) Suppose that a deposit of 2,000 $ is made into a bank that gives 3% interest. Suppose that interest is compounded 6 times per year. (a) (2 points) Write a formula for A ( t ) , the value of the investment, after t years in this case. (b) (4 points) How much will the investment be worth after 4 years? (c) (8 points) How long will it take for the investment to double? 5 Question 7 (12 points) Use implicit dierentiation to nd dy dx at the point (2,1) for the equation: x 2 y-3 xy 3 =-2 xy + 2 6 Space for additional work 7...
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This note was uploaded on 10/24/2010 for the course MAT mat 1300 taught by Professor Blute during the Fall '10 term at University of Ottawa.

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mid1-2007- - ln(5)-ln(3) Question 4 Suppose the prot for a...

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