Free points cause i'm nice

Establish which of the following statements are true. (a) a sequence is convergent if and only if all of its subsequences are convergent. (b) a sequence is bounded if and only if all of its subsequences are bounded. (c) a sequence is monotonic if and only if all of its subsequences are monotonic.

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?

Ahousehold consists of a married couple and their twin five-year old daughters. the couples children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last years tax return or they file with the “ married filing jointly “ status? a. 4 b. 5 c. 3 d. 2