Explore the fact that for relatively small values of n, algorithms with larger orders can be more efficient than algorithms with smaller orders. Suppose that when run with an input of size n, algorithm A requires 10^6 n^2 operations and algorithm B requires n^3 operations. a. What are orders for algorithms A and B from among the set of power functions? b. For what values of n is algorithm A more efficient than algorithm B? c. For what values of n is algorithm B at least 100 times more efficient than algorithm A?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Find solution of the linear equation y = 2/3x + 1/3

Suppose that 15 inches of wire cost 60 cents. at the same rate, how much (in cents) will 12 inches of wire cost