Math221-2092-Quiz3

Math221-2092-Quiz3 - Again to be clear NO SHORT CUTS 2 Find...

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Homework Quiz #3, Math 221 Due Monday, January 26, 2009 This quiz has 3 questions each worth 10 points and is to be turned in during class . Please answer each part as completely as possible. This is to be strictly non- collaborative , but you may use your class notes or any text. Please take note of the following: Unsupported work will receive no credit Sloppy work will have 5 points deducted from the final score (BE NEAT!!!) Use this page as a cover page to what you turn. Please do not write your solutions on this page. Good luck to you all Use Proper Limit Notation!!!!! 1. Using the limit definition of the derivative find the derivative of the function 2 ( ) 3 f x x x = - + .
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Unformatted text preview: Again to be clear, NO SHORT CUTS!!! 2. Find the slope of the line tangent to the graph of the function 2 1 ( ) 2 4 2 f x x x x =-+ when 4 x = 3. A ball is thrown upward from the top of a 64 ft building at a velocity of 48 ft/sec. The position of the ball at any time t after it is thrown is given by the function 2 ( ) 16 48 64 s t t t = -+ + a. Find the instantaneous velocity of the ball at any given time b. Using the velocity function from part A, find the time at which the ball reaches its highest point. (Hint: What is the velocity of the ball at the time it reaches its highest point?) c. Find the maximum height of the ball after it is thrown?...
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This note was uploaded on 11/21/2011 for the course MATH 221 taught by Professor Staff during the Winter '02 term at Cal Poly.

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