Suppose that each of the following expressions represents the number of logical operations in an algorithm as a function of n, the number of constant size data items being manipulated. for each expression, (i) determine the dominant term and then use the dominant term to classify the algorithm in (ii) big-o terms and also in (iii) ω-notation.
a. n^3 + n^2 log_2 n + n^3 log_2 n
b. n + 4n^2 + 4^n
c. 48n^4 + 16n^2 + log_8 n + 2n

Howard is designing a chair swing ride. the swing ropes are 5 meters long, and in full swing they tilt in an angle of 29° outside chairs to be 2.75 m above the ground in full swing.

When creating a field in a table, you must set the to determine what type of data the field can store. field property data type field type data property

The idea that, for each pair of devices v and w, there’s a strict dichotomy between being “in range” or “out of range” is a simplified abstraction. more accurately, there’s a power decay function f (·) that specifies, for a pair of devices at distance δ, the signal strength f(δ) that they’ll be able to achieve on their wireless connection. (we’ll assume that f (δ) decreases with increasing δ.) we might want to build this into our notion of back-up sets as follows: among the k devices in the back-up set of v, there should be at least one that can be reached with very high signal strength, at least one other that can be reached with moderately high signal strength, and so forth. more concretely, we have values p1 ≥ p2 ≥ . . ≥ pk, so that if the back-up set for v consists of devices at distances d1≤d2≤≤dk, thenweshouldhavef(dj)≥pj foreachj. give an algorithm that determines whether it is possible to choose a back-up set for each device subject to this more detailed condition, still requiring that no device should appear in the back-up set of more than b other devices. again, the algorithm should output the back-up sets themselves, provided they can be found.\