Ineed an experienced or inspired game developer to answer these questions

For each of the following claims, determine whether they are true or false. justify your determination (show your work). if the claim is false, state the correct asymptotic relationship as o, θ, or ω. unless otherwise specified, lg is log2.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j)n+1 =22n =2n =1 =ln2 n =n2 +2n−4 =33n = 2n+1 =√n = 10100 =o(n4) o(2n)θ(2n+7 ) o(1/n)θ(lg2 n) ω(n2 )θ(9n ) θ(2n lg n )o(lg n) θ(1)

In this lab, you add a loop and the statements that make up the loop body to a c++ program that is provided. when completed, the program should calculate two totals: the number of left-handed people and the number of right-handed people in your class. your loop should execute until the user enters the character x instead of l for left-handed or r for right-handed. the inputs for this program are as follows: r, r, r, l, l, l, r, l, r, r, l, x variables have been declared for you, and the input and output statements have been written.

Write a method that accepts a string object as an argument and returns the number of words it contains. for instance, if the argument is "four score and seven years ago", the method should return the number 6. demonstrate the method in a program that asks the user to input a string and then passes that string into the method, printing out whatever the method returns.