exercises for help with exercisesplease visit the sitewww wiley com/college/goodrich reinforcement - graph the functions log and using logarithmic scale for the xand -axesthat isif the function value (nis yplot this as point with -coordinate at log and -coordinate at log - the number of operations executed by algorithms and is log and respectively determine such that is better than for > - the number of operations executed by algorithms and is and respectively determine such that is better than for > - give an example of function that is plotted the same on log-log scale as it is on standard scale - explain why the plot of the function nc is straight line with slope on log-log scale - what is the sum of all the even numbers from to nfor any positive integer nr- show that the following two statements are equivalent(athe running time of algorithm is always of ( )(bin the worst casethe running time of algorithm is of ( ) - order the following functions by asymptotic growth rate log log log log - show that if (nis of ( ))then ad(nis of ( ))for any constant - show that if (nis of ( )and (nis ( ( ))then the product ( ) (nis of ( ) ( ) - show that if (nis of ( )and (nis ( ( ))then (ne(nis of (ng( ) - show that if (nis of ( )and (nis ( ( ))then (ne(nis not necessarily of (ng( ) - show that if (nis of ( )and (nis ( ( ))then (nis ( ( ) - show that (maxf ( ) ( )}of (ng( )