Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
7th Edition
ISBN: 9780134265148
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Chapter 14.4, Problem 8CV
To determine
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The velocity of a particle whose position at time is is the derivative .
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39. (a) Show that Σeak converges for each α > 0.
(b) Show that keak converges for each a > 0.
k=0
(c) Show that, more generally, Σk"eak converges for each
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#3 Find the derivative y' = of the following functions, using the derivative rules:
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18 For the function y=x³-3x² - 1, use derivatives to:
(a) determine the intervals of increase and decrease.
(b) determine the local (relative) maxima and minima.
(c) determine the intervals of concavity.
(d) determine the points of inflection.
b)
(e) sketch the graph with the above information indicated on the graph.
Chapter 14 Solutions
Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
Ch. 14.1 - Graph f( x )={ 3x2ifx2 3ifx=2 (pp.100-102)Ch. 14.1 - If f( x )={ xifx0 1ifx0 what is f( 0 ) ?...Ch. 14.1 - The limit of a function f( x ) as x approaches c...Ch. 14.1 - If a function f has no limit as x approaches c ,...Ch. 14.1 - True or False lim xc f( x )=N may be described by...Ch. 14.1 - True or False lim xc f( x ) exists and equals some...Ch. 14.1 - lim x2 ( 4 x 3 )Ch. 14.1 - lim x3 ( 2 x 2 +1 )Ch. 14.1 - lim x0 x+1 x 2 +1Ch. 14.1 - lim x0 2x x 2 +4
Ch. 14.1 - lim x4 x 2 4x x4Ch. 14.1 - lim x3 x 2 9 x 2 3xCh. 14.1 - lim x0 ( e x +1 )Ch. 14.1 - Prob. 14SBCh. 14.1 - lim x0 cosx1 x , x in radiansCh. 14.1 - lim x0 tanx x , x in radiansCh. 14.1 - In Problems 17-22, use the graph shown to...Ch. 14.1 - In Problems 17-22, use the graph shown to...Ch. 14.1 - In Problems 17-22, use the graph shown to...Ch. 14.1 - In Problems 17-22, use the graph shown to...Ch. 14.1 - In Problems 17-22, use the graph shown to...Ch. 14.1 - In Problems 17-22, use the graph shown to...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 23-42, graph each function. Use the...Ch. 14.1 - In Problems 43-48, use a graphing utility to find...Ch. 14.1 - In Problems 43-48, use a graphing utility to find...Ch. 14.1 - In Problems 43-48, use a graphing utility to find...Ch. 14.1 - In Problems 43-48, use a graphing utility to find...Ch. 14.1 - In Problems 43-48, use a graphing utility to find...Ch. 14.1 - In Problems 43-48, use a graphing utility to find...Ch. 14.1 - Problems 49-52 are based on material learned...Ch. 14.1 - Problems 49-52 are based on material learned...Ch. 14.1 - Problems 49-52 are based on material learned...Ch. 14.1 - Problems 49-52 are based on material learned...Ch. 14.2 - The limit of the product of two functions equals...Ch. 14.2 - lim xc b= _____Ch. 14.2 - lim xc x= a. x b. c c. cx d. x cCh. 14.2 - True or False The limit of a polynomial function...Ch. 14.2 - True or False The limit of a rational function at...Ch. 14.2 - True or false The limit of a quotient equals the...Ch. 14.2 - In Problems 7- 42, find each limit algebraically....Ch. 14.2 - In Problems 7- 42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 7-42, find each limit algebraically....Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In Problems 43-52, find the limit as x approaches...Ch. 14.2 - In problems 53-56, use the properties of limits...Ch. 14.2 - In problems 53-56, use the properties of limits...Ch. 14.2 - In problems 53-56, use the properties of limits...Ch. 14.2 - In problems 53-56, use the properties of limits...Ch. 14.2 - Problems 57-60 are based on material learned...Ch. 14.2 - Problems 57-60 are based on material learned...Ch. 14.2 - Problems 57-60 are based on material learned...Ch. 14.2 - Problems 57-60 are based on material learned...Ch. 14.3 - For the function f( x )={ x 2 ifx0 x+1if0x2...Ch. 14.3 - What are the domain and range of f( x )=lnx ?Ch. 14.3 - True or False The exponential function f( x )= e x...Ch. 14.3 - Name the trigonometric functions that have...Ch. 14.3 - True or False Some rational functions have holes...Ch. 14.3 - True or False Every polynomial function has a...Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - In Problems 7-42, find each limit algebraically....Ch. 14.3 - Find lim x 4 f( x ) .Ch. 14.3 - Find lim x 4 + f( x ) .Ch. 14.3 - Find lim x 2 f( x ) .Ch. 14.3 - Find lim x 2 + f( x ) .Ch. 14.3 - Does lim x4 f( x ) exist? If it does, what is it?Ch. 14.3 - Does lim x0 f( x ) exist? If it does, what is it?Ch. 14.3 - Is f continuous at 4 ?Ch. 14.3 - Is f continuous at 6 ?Ch. 14.3 - Is f continuous at 0?Ch. 14.3 - Is f continuous at 2?Ch. 14.3 - Is f continuous at 4?Ch. 14.3 - Is f continuous at 5?Ch. 14.3 - lim x 1 + ( 2x+3 )Ch. 14.3 - lim x 2 ( 42x )Ch. 14.3 - lim x 1 ( 2 x 3 +5x )Ch. 14.3 - lim x 2 + ( 3 x 2 8 )Ch. 14.3 - lim x/ 2 + sinxCh. 14.3 - lim x ( 3cosx )Ch. 14.3 - lim x 2 + x 2 4 x2Ch. 14.3 - lim x 1 x 3 x x1Ch. 14.3 - lim x 1 x 2 1 x 3 +1Ch. 14.3 - lim x 0 + x 3 x 2 x 4 + x 2Ch. 14.3 - lim x 2 + x 2 +x2 x 2 +2xCh. 14.3 - lim x 4 x 2 +x12 x 2 +4xCh. 14.3 - f( x )= x 3 3 x 2 +2x6c=2Ch. 14.3 - f( x )=3 x 2 6x+5c=3Ch. 14.3 - f( x )= x 2 +5 x6 c=3Ch. 14.3 - f( x )= x 3 8 x 2 +4 c=2Ch. 14.3 - f( x )= x+3 x3 c=3Ch. 14.3 - f( x )= x6 x+6 c=6Ch. 14.3 - f( x )= x 3 +3x x 2 3x c=0Ch. 14.3 - f( x )= x 2 6x x 2 +6x c=0Ch. 14.3 - f( x )={ x 3 +3x x 2 3x ifx0 1ifx=0 c=0Ch. 14.3 - f( x )={ x 2 6x x 2 +6x ifx0 2ifx=0 c=0Ch. 14.3 - f( x )={ x 3 +3x x 2 3x ifx0 1ifx=0 c=0Ch. 14.3 - f( x )={ x 2 6x x 2 +6x ifx0 1ifx=0 c=0Ch. 14.3 - f( x )={ x 3 1 x 2 1 ifx1 2ifx=1 3 x+1 ifx1 c=1Ch. 14.3 - f( x )={ x 2 2x x2 ifx2 2ifx=2 x4 x1 ifx2 c=2Ch. 14.3 - f( x )={ 2 e x ifx0 2ifx=0 x 3 +2 x 2 x 2 ifx0 c=0Ch. 14.3 - f( x )={ 3cosxifx0 3ifx=0 x 3 +3 x 2 x 2 ifx0 c=0Ch. 14.3 - f( x )=2x+3Ch. 14.3 - f( x )=43xCh. 14.3 - f( x )=3 x 2 +xCh. 14.3 - f( x )=3 x 3 +7Ch. 14.3 - f( x )=4sinxCh. 14.3 - f( x )=2cosxCh. 14.3 - f( x )=2tanxCh. 14.3 - f( x )=4cscxCh. 14.3 - f( x )= 2x+5 x 2 4Ch. 14.3 - f( x )= x 2 4 x 2 9Ch. 14.3 - f( x )= x3 InxCh. 14.3 - f( x )= lnx x3Ch. 14.3 - R( x )= x1 x 2 1 , c=1 and c=1Ch. 14.3 - R( x )= 3x+6 x 2 4 , c=2 and c=2Ch. 14.3 - R( x )= x 2 +x x 2 1 , c=1 and c=1Ch. 14.3 - R( x )= x 2 +4x x 2 16 , c=4 and c=4Ch. 14.3 - R( x )= x 3 x 2 +x1 x 4 x 3 +2x2Ch. 14.3 - R( x )= x 3 + x 2 +3x+3 x 4 + x 3 +2x+2Ch. 14.3 - R( x )= x 3 2 x 2 +4x8 x 2 +x6Ch. 14.3 - R( x )= x 3 x 2 +3x3 x 2 +3x4Ch. 14.3 - R( x )= x 3 +2 x 2 +x x 4 + x 3 +2x+2Ch. 14.3 - R( x )= x 3 3 x 2 +4x12 x 4 3 x 3 +x3Ch. 14.3 - R( x )= x 3 x 2 +x1 x 4 x 3 +2x2 Graph R(x) .Ch. 14.3 - R( x )= x 3 + x 2 +3x+3 x 4 + x 3 +2x+2 Graph R( x...Ch. 14.3 - R(x)= ( x 3 2 x 2 +4x8) ( x 2 +x6) Graph R( x ) .Ch. 14.3 - Prob. 86SBCh. 14.3 - Prob. 87SBCh. 14.3 - Prob. 88SBCh. 14.3 - Prob. 89DWCh. 14.3 - Prob. 90DWCh. 14.3 - Prob. 91RYKCh. 14.3 - Evaluate the permutation P( 5,3 ) .Ch. 14.3 - Prob. 93RYKCh. 14.3 - Prob. 94RYKCh. 14.4 - Find an equation of the line with slope 5...Ch. 14.4 - Prob. 2AYPCh. 14.4 - Prob. 3CVCh. 14.4 - Prob. 4CVCh. 14.4 - Prob. 5CVCh. 14.4 - Prob. 6CVCh. 14.4 - Prob. 7CVCh. 14.4 - Prob. 8CVCh. 14.4 - Prob. 9SBCh. 14.4 - Prob. 10SBCh. 14.4 - Prob. 11SBCh. 14.4 - Prob. 12SBCh. 14.4 - Prob. 13SBCh. 14.4 - Prob. 14SBCh. 14.4 - Prob. 15SBCh. 14.4 - Prob. 16SBCh. 14.4 - Prob. 17SBCh. 14.4 - Prob. 18SBCh. 14.4 - Prob. 19SBCh. 14.4 - Prob. 20SBCh. 14.4 - Prob. 21SBCh. 14.4 - Prob. 22SBCh. 14.4 - Prob. 23SBCh. 14.4 - Prob. 24SBCh. 14.4 - Prob. 25SBCh. 14.4 - Prob. 26SBCh. 14.4 - Prob. 27SBCh. 14.4 - Prob. 28SBCh. 14.4 - Prob. 29SBCh. 14.4 - Prob. 30SBCh. 14.4 - Prob. 31SBCh. 14.4 - f( x )=cosx at 0Ch. 14.4 - Prob. 33SBCh. 14.4 - Prob. 34SBCh. 14.4 - Prob. 35SBCh. 14.4 - Prob. 36SBCh. 14.4 - Prob. 37SBCh. 14.4 - Prob. 38SBCh. 14.4 - Prob. 39SBCh. 14.4 - Prob. 40SBCh. 14.4 - Prob. 41SBCh. 14.4 - Prob. 42SBCh. 14.4 - Prob. 43AECh. 14.4 - Prob. 44AECh. 14.4 - Prob. 45AECh. 14.4 - Prob. 46AECh. 14.4 - Prob. 47AECh. 14.4 - Instantaneous Velocity of a Ball In physics it is...Ch. 14.4 - Instantaneous Velocity on the Moon Neil Armstrong...Ch. 14.4 - Instantaneous Rate of Change The following data...Ch. 14.4 - Prob. 51RYKCh. 14.4 - Prob. 52RYKCh. 14.4 - Prob. 53RYKCh. 14.4 - Prob. 54RYKCh. 14.5 - In Problems 29-32, find the first five terms in...Ch. 14.5 - Prob. 2AYPCh. 14.5 - Prob. 3CVCh. 14.5 - Prob. 4CVCh. 14.5 - Prob. 5SBCh. 14.5 - Prob. 6SBCh. 14.5 - Prob. 7SBCh. 14.5 - Prob. 8SBCh. 14.5 - Prob. 9SBCh. 14.5 - Repeat Problem 9 for f( x )=4x .Ch. 14.5 - Prob. 11SBCh. 14.5 - Prob. 12SBCh. 14.5 - Prob. 13SBCh. 14.5 - Prob. 14SBCh. 14.5 - Prob. 15SBCh. 14.5 - Prob. 16SBCh. 14.5 - Prob. 17SBCh. 14.5 - Prob. 18SBCh. 14.5 - Prob. 19SBCh. 14.5 - Prob. 20SBCh. 14.5 - Prob. 21SBCh. 14.5 - Prob. 22SBCh. 14.5 - Prob. 23SBCh. 14.5 - Prob. 24SBCh. 14.5 - Prob. 25SBCh. 14.5 - Prob. 26SBCh. 14.5 - Prob. 27SBCh. 14.5 - Prob. 28SBCh. 14.5 - Prob. 29SBCh. 14.5 - Prob. 30SBCh. 14.5 - Prob. 31SBCh. 14.5 - Consider the function f( x )= 1 x 2 whose domain...Ch. 14.5 - Graph the function f( x )= log 2 x .Ch. 14.5 - If A=[ 1 2 3 4 ] and B=[ 5 6 0 7 8 1 ] , find AB .Ch. 14.5 - If f( x )=2 x 2 +3x+1 , find f( x+h )f( x ) h and...Ch. 14.5 - Prob. 36RYK
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