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All Textbook Solutions for Precalculus

17RE 18RE 19RE 20RE 21RE 22RE 23RE 24RE 25RE 26RE 27RE 28RE 29RE 30RE 31RE 32RE 33RE 34RE 35RE 36RE 37RE 38RE 39RE 40RE 41RE 42RE 43RE 44RE 45RE 46RE 47RE 48RE 49RE 50RE 51RE 52RE 53RE 54RE 55RE 56RE 57RE 58RE 59RE 60RE 61RE 62RE 63RE 64RE 65RE 66RE 67RE 68RE 69RE 70RE 71RE 72RE 73RE 74RE 75RE 76RE 77RE 78RE 79RE 80RE 81RE 82RE 83RE 84RE 1CT 2CT 3CT 4CT 5CT 6CT 7CT 8CT 9CT 10CT 11CT 12CT 13CT 14CT 15CT 16CT An object is moving along a straight line according to some position function s=s(t). The distance s(in feet) of the object, from its starting point after t seconds is given in the table. Find the average rate of change of distance from t=3 to t=6 seconds. ts0012.5214331449589613771738240 Graph f( x )={ 3x2ifx2 3ifx=2 (pp.100-102)2AYU 3AYU 4AYU True or False lim xc f( x )=N may be described by saving that the value of f( x ) gets closer to N as x gets closer to c but remains unequal to c .6AYU lim x2 ( 4 x 3 )lim x3 ( 2 x 2 +1 )lim x0 x+1 x 2 +1 10AYU 11AYU 12AYU 13AYU 14AYU 15AYU 16AYU In Problems 17-22, use the graph shown to determine if the limit exists. If it does, find its value. lim x2 f( x )In Problems 17-22, use the graph shown to determine if the limit exists. If it does, find its value. lim x4 f( x )In Problems 17-22, use the graph shown to determine if the limit exists. If it does, find its value. lim x2 f( x )20AYU In Problems 17-22, use the graph shown to determine if the limit exists. If it does, find its value. lim x2 f( x )22AYU 23AYU 24AYU 25AYU 26AYU In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists. lim x3 f( x ),f( x )=| 2x |28AYU 29AYU 30AYU In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists. lim x0 f( x ),f( x )= e x 32AYU 33AYU 34AYU In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists. lim x0 f( x ),f( x )={ x 2 ifx0 2xifx0 In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists. lim x0 f( x ),f( x )={ x1ifx0 3x1ifx0 In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists. lim x1 f( x ),f( x )={ 3xifx1 x+1ifx1 38AYU 39AYU 40AYU 41AYU 42AYU In Problems 43-48, use a graphing utility to find the indicated limit rounded to two decimal places. lim x1 x 3 x 2 +x1 x 4 x 3 +2x2 44AYU 45AYU 46AYU 47AYU In Problems 43-48, use a graphing utility to find the indicated limit rounded to two decimal places. lim x3 x 3 3 x 2 +4x12 x 4 3 x 3 +x3 1AYU 2AYU 3AYU 4AYU 5AYU 6AYU 7AYU 8AYU 9AYU 10AYU 11AYU 12AYU 13AYU 14AYU 15AYU 16AYU 17AYU 18AYU 19AYU 20AYU 21AYU 22AYU 23AYU 24AYU 25AYU 26AYU 27AYU 28AYU 29AYU 30AYU 31AYU 32AYU 33AYU 34AYU 35AYU 36AYU 37AYU 38AYU 39AYU 40AYU 41AYU 42AYU In Problems 43-52, find the limit as x approaches c of the average rate of change of each function from c to x . c=2 ; f( x )=5x3 44AYU 45AYU 46AYU 47AYU In Problems 43-52, find the limit as x approaches c of the average rate of change of each function from c to x . c=1 ; f( x )=2 x 2 3x 49AYU 50AYU 51AYU 52AYU In problems 53-56, use the properties of limits and the facts that lim x0 sinx x =1 lim x0 cosx1 x =0 lim x0 sinx=0 lim x0 cosx=1 where x is in radians, to find each limit. lim x0 tanx x 54AYU 55AYU In problems 53-56, use the properties of limits and the facts that lim x0 sinx x =1 lim x0 cosx1 x =0 lim x0 sinx=0 lim x0 cosx=1 where x is in radians, to find each limit. lim x0 sin 2 x+sinx( cosx1 ) x 2 For the function f( x )={ x 2 ifx0 x+1if0x2 5xif2x5 , find f( 0 ) and f( 0 ) . (pp. 100-101)2AYU 3AYU 4AYU 5AYU 6AYU 7AYU 8AYU 9AYU 10AYU 11AYU In Problems 7-42, find each limit algebraically. True or False Every polynomial function is continuous at every real number.In Problems 7-42, find each limit algebraically. What is the domain of f ?14AYU 15AYU 16AYU 17AYU 18AYU In Problems 7-42, find each limit algebraically. lim x1 ( 5 x 4 3 x 2 +6x9 )20AYU Find lim x 4 f( x ) .22AYU Find lim x 2 f( x ) .24AYU Does lim x4 f( x ) exist? If it does, what is it?26AYU Is f continuous at 4 ?28AYU Is f continuous at 0?30AYU Is f continuous at 4?32AYU 33AYU 34AYU 35AYU 36AYU 37AYU 38AYU lim x 2 + x 2 4 x2 lim x 1 x 3 x x1 lim x 1 x 2 1 x 3 +1 42AYU 43AYU 44AYU 45AYU 46AYU 47AYU 48AYU f( x )= x+3 x3 c=3 50AYU 51AYU 52AYU 53AYU 54AYU 55AYU 56AYU f( x )={ x 3 1 x 2 1 ifx1 2ifx=1 3 x+1 ifx1 c=1 58AYU 59AYU 60AYU 61AYU 62AYU 63AYU 64AYU 65AYU 66AYU 67AYU 68AYU f( x )= 2x+5 x 2 4 70AYU 71AYU 72AYU 73AYU 74AYU 75AYU 76AYU 77AYU 78AYU 79AYU 80AYU 81AYU 82AYU 83AYU 84AYU 85AYU 86AYU 87AYU 88AYU 89AYU 90AYU 1AYU 2AYU 3AYU lim xc f( x )f( c ) xc exists, it is called the _________of f at c .5AYU 6AYU 7AYU 8AYU 9AYU f( x )=2x+1 at ( 1,3 )11AYU 12AYU 13AYU 14AYU 15AYU 16AYU 17AYU 18AYU 19AYU 20AYU 21AYU

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