A programmer notices the following two procedures in a library. The procedures do similar, but not identical, things.

Procedure square (n) returns the value n2

Procedure cube (n) returns the value n3

Which of the following procedures is a generalization of the procedures described above?
A. Procedure Add (n, m), which returns the value n + m
B. Procedure Fourth (n), which returns the value n4
C. Procedure Polynomial(n), which returns the value n3 +n2
D. Procedure Power (n, m), which returns the value nm

When making changes to optimize part of a processor, it is often the case that speeding up one type of instruction comes at the cost of slowing down something else. for example, if we put in a complicated fast floating-point unit, that takes space, and something might have to be moved farther away from the middle to accommodate it, adding an extra cycle in delay to reach that unit. the basic amdahl's law equation does not take into account this trade-off. a. if the new fast floating-point unit speeds up floating-point operations by, on average, 2ă—, and floating-point operations take 20% of the original program's execution time, what is the overall speedup (ignoring the penalty to any other instructions)? b. now assume that speeding up the floating-point unit slowed down data cache accesses, resulting in a 1.5ă— slowdown (or 2/3 speedup). data cache accesses consume 10% of the execution time. what is the overall speedup now? c. after implementing the new floating-point operations, what percentage of execution time is spent on floating-point operations? what percentage is spent on data cache accesses?