# t100su - Create assignment 57321 Homework 50 Feb 28 at...

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Create assignment, 57321, Homework 50, Feb 28 at 12:40 pm 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. The due time is Central time. CalC2b04a 48:02, calculus3, multiple choice, > 1 min, normal. 001 Below is the graph o± a ±unction f . 2 4 6 - 2 - 4 - 6 2 4 6 8 - 2 - 4 Use the graph to determine lim x 3 f ( x ) . 1. limit = 3 2. limit = 4 3. limit = 6 4. limit = 12 5. limit does not exist correct Explanation: From the graph it is clear the f has a le±t hand limit at x = 3 which is equal to 3; and a right hand limit which is equal to - 2. Since the two numbers do not coincide, the limit does not exist . keywords: defnition o± limit, graph, domain, range, limit at jump discontinuity CalC2e21a 48:04, calculus3, multiple choice, > 1 min, normal. 002 Find all values o± x at which the ±unction f defned by f ( x ) = x - 8 x 2 + 7 is not continuous? 1. x = - 7 , 7 2. x = 8 , - 7 3. x = - 7 4. x = 8 5. x = 7 6. no values o± x correct Explanation: Because f is a rational ±unction it will ±ail to be continuous only at zeros o± the denomi- nator. Since there are no real solutions to x 2 = - 7 , the ±unction is continuous everywhere; put another way, f ±ails to be continuous at no values o± x . keywords: rational ±unction, continuous CalC3a01e 49:01, calculus3, multiple choice, > 1 min, wording-variable. 003 f ( x ) = - 2 x 2 + 5 x ,

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2 which of the following determines the deriva- tive of f ( x )? 1. lim h 0 - 2( x + h ) 2 + 5( x + h ) + 2 x 2 - 5 x h correct 2. lim h 0 µ - 2 x 2 + 5 x + h + x 2 - x h 3. lim x 0 - 2( x + h ) 2 + 5( x + h ) + 2 x 2 - 5 x h 4. - 2( x + h ) 2 + 5( x + h ) + 2 x 2 - 5 x h 5. - 2( x + h ) 2 + 5( x + h ) - 2 x 2 + 5 x h 6. lim x 0 µ - 2 x 2 + 5 x + hx 2 - x h Explanation: When f ( x ) = - 2 x 2 + 5 x then f ( x + h ) = - 2( x + h ) 2 + 5( x + h ) so the derivative of f ( x ) is given by f 0 ( x ) = lim h 0 f ( x + h ) - f ( x ) h = lim h 0 - 2( x + h ) 2 + 5( x + h ) + 2 x 2 - 5 x h . keywords: limit, derivative CalC3b06a 49:01, calculus3, multiple choice, > 1 min, normal. 004 If f is a function on ( - 8 , 8) having 3 6 - 3 - 6 3 6 - 3 - 6 as its graph, which of the following is the graph of the derivative of f ? 1.
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## This note was uploaded on 03/20/2008 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas.

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t100su - Create assignment 57321 Homework 50 Feb 28 at...

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