Write a program that accepts a positive integer N as command-line argument, and outputs True if N is the square of some integer, and False otherwise. Do not use math. sqrt() or similar! Hint: Clearly, all candidates i which may satisfy i2 = N must be at most N (for which "corner case" of N is i equal to N?). Therefore, it is sufficient to check if there exists an i in the range 1 ≤ i ≤ N such that i2 = N. In other words, you want to evaluate the expression (12 == N)or (22 == N)or (32 == N)or ··· or ((N − 1)2 == N) or (N2 == N). Practice goal: A variation of the primality checking program we have seen in class; follows a Boolean accumulation pattern, with logical or.

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How would you categorize the software that runs on mobile devices? break down these apps into at least three basic categories and give an example of each.

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?