1. lafter $5.3] Write a statement that computes and prints the cube root of a dou ble variable named number Hint: look for an appropriate method in the Java API documentation of the Math e 2. lafter $5.3] In probability calculations, we frequently need to compute the value of the factor number n. The factorial of a number n (designated n!) is given by the formula n! n (n-1) (n-2)32 1. When n is a very large number, this is a time-consu called Stirling 's Formula, which gives a very good approximation of n! whenever n is large. Stirling's ming calculation. Fortunately, there is a handy formula, formula says: n: ~ (1 + 1/( 12n-I)) * sqrt(2nn) * (n/E)" The symbol is the ratio of a circle's perimeter to its diameter, and the symbol E is the base of natural logarithms. The actual value of n! is always slightly smaller than the value given by this formula. For this exercise, write a Java code fragment that implements Stirling's formula. 3. [after 5.3] Write a main method that asks the user for an angle, , in degrees, and prints out the values of sin(), cos(), and tan(8). Sample session: Enter an angle in degrees: 30 sin(deg) = 0.49999999999999994 cos (deg) 0.8660254037844387 tan(deg) # 0.5773502691896257