m106_prelim1_v3_short - Feb 21 2012 Prelim 1 V3 Math 1106 Please show your reasoning and all your work This is a 90 minute exam Calculators are not

# m106_prelim1_v3_short - Feb 21 2012 Prelim 1 V3 Math 1106...

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Feb. 21, 2012 Prelim 1 V3 Math 1106 Please show your reasoning and all your work. This is a 90 minute exam. Calculators are not needed or permitted. Good luck! Unless specifically requested, answers on this exam NEED NOT be simplified or completely numerical. Arithmetic expressions are fine. Ordinarily, answers like ln 12 5 , 3 x 2 ( x 4 - 1) - 4 x 3 ( x 3 + 1) ( x 4 - 1) 2 , 1 2 ( 4 x 3 ) ( x 4 + 1) . 5 are completely acceptable. Please note though that question 5 has a specific alternate request. Problem 1) (20 Points)Find the following derivatives:1a)f(x) =x3-6x+ 31b)f(x) =x+1x1c)f(x) =xe3x4+11d)f(x) = lnx4+ 1x3-11e)f(x) = sin (x3-x)Problem 2 ) (12 Points)Joan invests \$5000 in a bank account advertisingan interest rate of 6% per year.a)If the interest is compounded monthly, how much money will Joan haveafter 5 years?b)If the interest is instead just compounded annually, how long will it takefor the amount of money to triple? 1