Binomial expansion: are called meaningless when is negative or fraction and are exponents and is called index. index is always less then one. exponent is always less then one. This series is called Binomial series. Example: using Binomial expansion solve this: HERE using Binomial expansion formula This is required binomial series.
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Completing the Square examples: Sometimes, the quadratic polynomials are not easily factorable. For Example, consider It is difficult to make factors of In such a case the factorization and hence the solution of a quadratic equation can be found by the method of completing the square and extracting square roots. Completing the Square Examples Say
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A series of the from is called power series expansion of a function , where are constants and is variable. Mathematics Of Power Series Expansion: In order to explore power series we have to recall that the sum of a geometric series can be expressed using the simple formula: If , and that the series diverges when . At
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Vector Triple Product Definition: Consider be the three vectors, then the vector triple product of vectors is defined as Important Note: Through given any three vectors the following products are the vector triple products : Employing the well-known properties of the vector product, we get the following theorems. Theorem 1 : It satisfies the
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Inverse Property of Addition is the Sum of a number and its negative is always zero. Here zero is called the additive identity and and are the additive inverses of each other. For Examples Where x is an arbitrary number. We can use furthermore examples Example:1 Inverse Property of Addition If we add a number
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Quotient Rule of Derivatives of der Here we will discuss Quotient Rule of derivatives in easy way if we have two functions and and if and are differentiable at and is not equal to zero for any then is differentiable at x and we will prove that . Suppose . . . . . .
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Introduction Trigonometry is an important branch of mathematics. Trigonometry is a Greek word. The word Trigonometry has been divided into three phases. Tri mean THREE Goni mean ANGLES Metron mean MEASUREMENT It is clear that Trigonometry means Measurement of a triangle. Unit of Measures of Angles. What is Angle. Two rays have the same initial
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Quadrilateral Definition in Math: A quadrilateral (in geometry) can be defined as a closed,  two-dimensional shape which has four straight sides(edges).  The polygon which has four vertices or corners. Interior angles equal to 360^\circ[\latex] A quadrilateral can be regular or irregular We can find the shape of quadrilaterals in various things around us, for example in a chessboard, a
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What is Derivative of constant. Here we will prove that derivative of the constant is zero. Method 1 Let c be constant. Now by using ab-initio method. Dividing on both sides. Applying on both sides. Method 2 Now by using formula of differentiation. Now put above values. Hence we have to proved that the derivative
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Now let us discuss the Conditional Statement. A compound statement of the form if p then q, also written p implies q, is called aconditional or an implication, p is called the antecedent or hypothesis and q is called theconsequent or the conclusion.A conditional is regarded as false only when the antecedent is true and
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