Mathematical Library Methods

8. Write a program in Java to find the maximum of three numbers using Math.max() method.

9. Write a program to print:

1. x to the power y
2. the square root of y

The values of x and y are 81 and 3, respectively.

10. Write a program to compute and display the value of expression:

${\displaystyle \frac{1}{x^2}}+{\displaystyle \frac{1}{y^3}}+{\displaystyle \frac{1}{z^4}}$

where, the values of x, y and z are entered by the user.

11. Write a program to generate random integers in the following ranges:

i. 10 to 20 (both inclusive)
ii. 25 to 50 (both inclusive)

12. Write a program that accepts a number x and then prints:

x⁰, x¹, x², x³, x⁴, x⁵

13. Write the equivalent Java statements for the following, by using the mathematical functions:

i. Print the positive value of -999.

ii. Store the value -3375 in a variable and print its cube root.

iii. Store the value 999.99 in a variable and convert it into its closest integer that is greater than or equal to 999.99.

14. Write a program in Java to compute the final velocity of a vehicle using the following formula:

          v² = u² + 2as

where, u = initial velocity, a = acceleration and s = distance covered; they are entered by the user.