Choose the right answer:

1) The asymptotic growth rate of ( 40 n logn + 3 n ) is __________ of ( n logn ):

a) lower than b) the same as c) higher than

2) The asymptotic growth rate of ( n² + 100 n ) is __________ of ( 2 ^{log n} ):

a) lower than b) the same as c) higher than

3) The asymptotic growth rate of ( 5n + 50 log n ) is __________ of ( 2 ^{log n} ):

a) lower than b) the same as c) higher than

4) The asymptotic growth rate of ( n¹⁰ ) is __________ of ( 2ⁿ ):

a) lower than b) the same as c) higher than

5) The asymptotic growth rate of ( 2¹⁵) is __________ of ( 2n ):

a) lower than b) the same as c) higher than