Practice_Final

# Practice_Final - PRACTICE FINAL EXAM MAT 21A NAME...

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PRACTICE FINAL EXAM MAT 21A NAME: DIRECTIONS: Read the directions carefully before beginning. Good Luck! This exam is a closed book, closed notes. Nothing should on the table except a pencil, an eraser, and this exam. NO CALCULATORS or other PAPERS allowed. Show all work, clearly and in order. When required, do not forget the units ! Circle your Fnal answers. You will loose points if you do not circle your answers . 1

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PRACTICE FINAL EXAM MAT 21A NAME: Problem 1: SEE EXAM I, PRACTICE EXAM II, AND EXAM II FOR PRACTICE FOR CHAPTERS 2 AND 3. Problem 2: Find the diferentials ±or the ±ollowing ±unctions. (a) y = 4 x x 2 2 x (b) y = x 2 +2 x 3 ( x 1)( x 2 +4 x +3) (c) y = e x sin ( x 2 ) (d) y = cosxtan 1 ( e 2 x ) 2
PRACTICE FINAL EXAM MAT 21A NAME: Problem 3: Find the Linearization of the following functions at the appropriate points. (a) y = 4 x x 2 2 x , at x = 0 (b) y = x 2 +2 x 3 ( x 1)( x 2 +4 x +3) , at x = 2 (c) y = e x sin ( x 2 ), at x = π 2 (d) y = cosxtan 1 ( e 2 x ), at x = 0 3

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Practice_Final - PRACTICE FINAL EXAM MAT 21A NAME...

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