soln-prac-mid1

soln-prac-mid1 - Solutions to Practic Midterm 1 You will...

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Unformatted text preview: Solutions to Practic Midterm 1 You will find below some questions that are representative of the material we have covered in Chapter 2. These questions are not comprehensive, though. You are responsible for everything in Chapter 1 and 2 (although there wont be any questions that directly cover Chapter 1). This exam is longer than an actual 50minute midterm. If you are timing yourself, a reasonable exam may consist of problems 1,2,4,6,8,9. Another exam may consist of 3,4,5,6,7,8,10. 1 Find the points of discontinuity for the function f ( x ) = 16- x 2 1- cos x Solution (- ,- 4) [0 , 0] (4 , ). (alternate ok answer: for 4 < | x | or x = 2 k, k an integer.) On this problem you should show a bit of work, ie that you are solving 16- x 2 < 0 and 1- cos x = 0. 2 lim x 2 2 3( x- 2) 2 = lim t 1 t- 1 4 t- 2 = lim t 1 ( t- 1)( 4 t + 2) ( 4 t- 2)( 4 t + 2) = lim t 1 ( t- 1)( 4 t + 2) 4( t- 1) = 1 . lim t t- 1 4 t- 2 = lim t t- 1 4 t- 2 1 / t 1 / t = lim t t- 1 / t 4- 2 / t = ....
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This note was uploaded on 04/19/2011 for the course MATH 21A taught by Professor Osserman during the Fall '07 term at UC Davis.

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soln-prac-mid1 - Solutions to Practic Midterm 1 You will...

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