Review problems Exam 2 Fall 2012

# Review problems Exam 2 Fall 2012 - Math 191 Exam 2 Review...

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Math 191, Exam 2 Review: The exam will be given on Thursday, November 15 at 7 – 8:30 pm. Calculators will not be allowed on the exam. 1. Compute the indicated derivative g. G ± ² ± if ² = ´ln´³µµ ·. ¸ ¹ if ¸´³µ = tan º» ´³ ± + 2³µ ¼. ² ¹ if ² = 4 ln ± + 5 ³ ½. G¿ if ¾´¿µ = À 1 − ¿ ± Á Â Ã º» Ä. ¾ ¹ ´³µif ¾´³µ = sin ± ´³µ + 5 tan´³ ± µ Å. G¿ if ² = 3¿ ± + 1 ¿ + 2¿ Æ. ¾´³µ = ´cos³µ Ç 2. Compute the following limits. g. lim Ç→ÈÉ ´ln´³µµ ± ·. lim Ç→Ê ln ³ Ã ¼. lim Â→Ê ´3 − Á ºÂ µ ½. lim Ç→ºÊ ³ ± Á Ç Ä. lim Ç→È sin´5³µ ³ Å. lim Ç→Ê ³ Ë + 3³ ± + 2 + 7 3. A plane passes directly above a radar station at an altitude of 6 miles at a speed of 500 mph. a. Supposed the line through the radar station and the plane makes and angle Ì with the horizontal. How fast is Ì changing 15 minutes later?

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Review problems Exam 2 Fall 2012 - Math 191 Exam 2 Review...

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