Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is 27 ft. (Let x, y, and z be the dimensions of the rectangular box.)

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.

Solve the equation by completing the square. x^2+2x=17