# Tutor profile: Pritom M.

## Questions

### Subject: Java Programming

Write a java program to check whether a given number is even or odd

import java.io.*; import java.util.*; class Test{ public static void main(String[] args){ Scanner sc=new Scanner(System.in); System.out.println("Enter a number : "); int x=sc.nextInt(); if(x%2==0){ System.out.println(x+" is an even number"); } else { System.out.println(x+" is an odd number"); } } }

### Subject: Calculus

The two functions f and g defined by f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive are equal?

False. Two functions are equal if their rules are equal and their domains are the same.

### Subject: Algebra

Find the value of x from the given equation 5(-3x - 2) + (x + 3) = -4(4x + 5) + 13

First, we need to simplify the left and right-hand side of the equal sign, so that no bracket remains. => -15x-10+x+3 = -16x-20+13 [ here normal multiplication was done] Second, we need to put all the "x" terms on the left-hand side and all the remaining terms which do not contain "x" on the right-hand side. =>-15x+x+16x=-20+13+10-3 [we need to remember that on changing sides,the sign changes, here the sign of -16x changed to +16x, it doesn't matter on which side you are shifting, the sign will always change, negative will become positive and positive will become negative] Then we simplify the expression, =>-15x+17x=-20+23-3 {we are first adding] =>2x=-23+23 =>2x=0 =>x=0

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