P1.-P6.: For five selected problems: (a) Start with the definition you were given for O), (_), and (_) as needed form the problem at hand. For each problem determine the values of the constants in the formal definitions. (b) For your solved problems: for problems of O_), determine whether o(_) also holds; for problems of $2(_), determine whether w() also holds; for cases of 0_), check for both o) and w(_).

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P1. - P6.: For five selected problems:
(a) Start with the definition you were given for O(_), 2(_), and (_) as needed form the
problem at hand. For each problem determine the values of the constants in the formal
definitions.
(b) For your solved problems: for problems of O(_), determine whether o(_) also holds; for
problems of $2(_), determine whether w() also holds; for cases of 8(_), check for both
o() and w(_).
P1.: Show formally that
P2: Show formally that
P3: Show formally that
P4: Show formally that
P5: Show formally that
P6: Show formally that
lgn² = (1gn 15) . do (a) and (b)
do (a) and (b)
n log n + 5 = (lg n)
2¹ = 2(10n²)... do (a) and (b)
2 = 0(3)... do (a) and (b)
n³-3n²-n+1 = 0(n³) ... do (a) and (b)
n² n + 1 = 8(n²/2) ... do (a) and (b)
***
Transcribed Image Text:P1. - P6.: For five selected problems: (a) Start with the definition you were given for O(_), 2(_), and (_) as needed form the problem at hand. For each problem determine the values of the constants in the formal definitions. (b) For your solved problems: for problems of O(_), determine whether o(_) also holds; for problems of $2(_), determine whether w() also holds; for cases of 8(_), check for both o() and w(_). P1.: Show formally that P2: Show formally that P3: Show formally that P4: Show formally that P5: Show formally that P6: Show formally that lgn² = (1gn 15) . do (a) and (b) do (a) and (b) n log n + 5 = (lg n) 2¹ = 2(10n²)... do (a) and (b) 2 = 0(3)... do (a) and (b) n³-3n²-n+1 = 0(n³) ... do (a) and (b) n² n + 1 = 8(n²/2) ... do (a) and (b) ***
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