Exam 1A

Exam 1A - Solve 4" 2 2 = 1 2 $& ’ 3 for 4 Find the...

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Mt100 - Calculus I Exam 1 October 3, 2007 Variation: A On the cover of your blue book, put: your name your discussion section time: 10, 3, or 4 your test variation letter: above Put all your answers in the blue book. Be organized, clear, neat, and grammatically correct. Be concise, but be sure to show all your relevant work. The point value of each problem precedes it in parentheses. The total, of course, is 60. 1. (10) a. Give the equation of the line through ( " 1, 4) and 3, " 2 ( ) . b. Give the equation of the line through the origin perpendicular to the line in part a . 2 . Determine cos " 1 cos 5 # 4 $ % ( ) ) . Determine the domain and range of the inverse of fx ( ) = x + 1 " 1 . 3 Calculate log 3 1 3 " # $ $ % 2 + log 9 3 ( ) using logarithm properties.
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Unformatted text preview: Solve 4 " 2 2 = 1 2 # $ % % & ’ ( ( 3 for . 4 Find the average rate of change of ( ) = + 1 over 8, 48 [ ] . Is the instantaneous rate of change of ( ) at = 8 greater than or less than your answer to part ? Illustrate with a graph. 5 . (5) Let f ( x ) = 7cos , < " 2 # 2 + 2 # 7, > $ % & ’ & Is the discontinuity at = removable? Justify your answer. 6 (15) Compute each of the following limits. Show your reasoning: simple numerical answers will not suffice. a. lim " 5 3 # 125 # 5 b. lim " 2 sin3 c. lim " sin cos 1 # $ % % & ’ ( (...
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This note was uploaded on 06/04/2008 for the course MT 100 taught by Professor Keane during the Fall '07 term at BC.

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Exam 1A - Solve 4" 2 2 = 1 2 $& ’ 3 for 4 Find the...

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