) Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for sufficiently small n. Make your bounds as tight as possible, and justify your answers. (a) T(n) = 4T(n/2) + n 2√ n. (b) T(n) = T(n/2) + T(n/4) + T(n/8) + n. (c) T(n) = T(n − 1) + log n.

What a backup plan that you have created in a event you encounter a situation

Ac++an of of pi. in , pi is by : pi = 4 – 4/3 + 4/5 – 4/7 + 4/9 - 4/11 + 4/13 - 4/15 + 4/17 . ., to pi (9 ). , if 5 to pi, be as : pi = 4 - 4/3 + 4/5 - 4/7 + 4/9 = 4 – 1. + 0.8 - 0. + 0. = 3.. atoofbe to pi?

Write a program that will compute the volume of ice cream served in a cone. as you can see in the diagram below, the ice cream is served as a hemisphere of frozen deliciousness on top of a cone, which is also packed with frozen deliciousness. thus, the total volume of ice cream sold is the volume of the hemisphere plus the volume of the cone. the example shows an ice cream cone in which the hemisphere and cone have a radius of 10 inches and the cone has a height of 15 inches. your program must instead prompt for these two values, which are taken from the keyboard as integers: • the hemisphere/cone radius in inches, and