theory x and theroy y


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Example 3:
If 2x - y : 3x - 2y = 3:4, find x:y..
Example 1:
Using matrix method solve the following systems of linear equations 2x - y + z = -3 3x - z = - 8 2x + 6y ..
Example:
Solve the system of linear equations. x +2y + 3z = 6 2x + 4y + z = 7 3x + 2y + 9z = 14 using Cramer's rul..
Suggested answer:
4(2x-y)=3(3x-2y) 8x-4y=9x-6y 6y-4y=9x-8x 2y=x x:y=2..
Exponential form of a Complex number
If z = x + iy then e z = e (x + iy) = e x e iy ? e z = e x {cos y + i sin y} is called the Exponential form of the Complex numbe..
Suggested answer:
We cannot group mx and 3y or my and 3x as they do not have a common factor. Therefore, re-arrange (mx - 3y - my + 3x) as (mx - my - 3y + 3x) and then factorise : ..
Divisibility, Divisors or Factors and Multiples,
If a number has a whole number answer when divided by a second number, the first number is divisible by the second number; x is divisible by y if and only if x = qy where y is a whole number. A multiple is the product of any quantity by an intege..
Case III:
If D = 0 and all D 1 , D 2 and D 3 are zeros, this system has either infinite solution or no solution. In this case, put x = k(y = k or z = k), in any two of the equations, find y and z in terms of k. Substitute these values of x, y and z in term..
theory x and theroy y
In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and <5x 4 -3x 2 has degree 4. In case of polynomials with more than one variable, the sum of powers of the varia..
Degree and Types of Polynomials
- In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and <5x 4 -3x 2 has degree 4. In case of polynomials with more than one variable, the sum of powers of the variables ta..
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