Use the method of your choice to factor

Find the critical points for the function f (x) = x sin−1 x on the interval [−1, 1]. Identify the
absolute maximum and absolute minimum values. State the intervals for where the functions is increasing,
decreasing.

Show that $\sqrt[3]{\pi }$ is transcendental

discrete math 
functions pigeonhole principle
How many numbers in the set $\{1,2,3,\dots ,346\}$ are divisible by 5 or 7 ?

A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents, “When traveling internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group (USA Today, January 21, 2004).

a. In a sample of six international travelers, what is the probability that two will stick with their tour group?

b. In a sample of six international travelers, what is the probability that at least two will stick with their tour group?

c. In a sample of 10 international travelers, what is the probability that none will stick with the tour group?

Assume a binomial probability distribution with n = 50 and p =0.25. Compute the following: a. The mean and standard deviation of the random variable. b. The probability that X is 15 or more. c. The probability that X is 10 or less.

set-builder form {y I x is a natural number and y >2}

In a family of 6, what is the probability of getting 1 boy and 5 girls