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Polar Representation of a Complex Number 150 150 SchoolTutoring Academy

Polar Representation of a Complex Number

In polar representation, a complex number is represented in terms of two variables r and t, where r is the modulus of complex number and t is the angle with the positive direction of x-axis. We know that the modulus of a complex number z=a+ib is denoted by |z| and is defined as . We…

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Operations on Polar Form of a Complex Number 150 150 SchoolTutoring Academy

Operations on Polar Form of a Complex Number

The polar form of a complex number a+ib is a+ib = r(Cos t + i Sin t), where r is its modulus and t is its argument. As we operate on the real numbers, we can perform operations on complex numbers also. The operations on the complex numbers are as follows. Equal numbers in polar…

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English Help: Pronouns 150 150 SchoolTutoring Academy

English Help: Pronouns

Pronouns are words that replace nouns in sentences. In order to use pronouns, we must have a noun for it to replace. This noun is called the antecedent of the pronoun and must be placed earlier in the passage than the pronoun. There are several types of pronouns, and we categorize them by the parts…

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Cubes and Cube Roots 150 150 SchoolTutoring Academy

Cubes and Cube Roots

Cube: The cube of a number a is denoted by a3 and it is nothing but the product of a for 3 rimes. So, a3 = a x a x a Example: 23 = 2x2x2 = 8 53 = 5x5x5 = 125 Note: (1)    If a3 =b then the unit digit of all numbers ending…

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Algebra: Square Roots 150 150 SchoolTutoring Academy

Algebra: Square Roots

Square root of a positive real number: The square root of a real number x is s which satisfies the equation x = s2. If x = s2 then x = (-s)2 is also satisfied because (-s)2 = s2. So, the square root of x is ±s and it is read as plus or minus…

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The Political Brain 150 150 Suzanne

The Political Brain

During a political season, it seems that all manner of subjects can relate to politics. And so it is with cognition, and in the run-up to a presidential election the question has been asked, what is the political brain and what are its main functions? A new theory on this topic suggests that there are…

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Four Rules to Remember When Dealing With Exponents 200 166 School Tutoring

Four Rules to Remember When Dealing With Exponents

There are four important rules you must always remember when solving questions dealing with exponents. Rule One: When you multiply two exponents with the same base, add the exponents. Examples of Rule One: (x^3)(x^4) = x^(3+4) = x^7 (x^5)(x^3) = x^(5+3) = x^8 (3^2)(3^2) = 3^(2+2) = 3^(4) = 81 (2^2)(2^4) = 2^(2+4) = 2^6…

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Review of Macromolecules 371 239 School Tutoring

Review of Macromolecules

Macromolecules are any molecules which contain a very large number of atoms. There are four main classifications of macromolecules: carbohydrates, lipids, nucleic acids, and proteins.   Carbohydrates Carbohydrates are organic compounds made up of carbon, hydrogen and oxygen atoms. In carbohydrates, these three elements appear in the common ratio of 1 carbon atom to 2…

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Properties of Logarithmic Functions 150 150 SchoolTutoring Academy

Properties of Logarithmic Functions

A logarithmic function is basically the inverse of an exponential function. Take a >0 and a≠1.  Then the inverse of the function f:RàR defined fy f(x)=ax is logax which is called as logarithm of x with base a. So the definition of logarithm is as follows. logax = y ↔ay = x. Example: 23=8 ==>…

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Series and Parallel Circuits 150 150 SchoolTutoring Academy

Series and Parallel Circuits

The components in an electrical circuit can be connected in many different ways. The two most frequent and simplest arrangements are called series and parallel. Circuits composed entirely of components in series or parallel are known as series circuits and parallel circuits, respectively. Although both may consist of the same components, their arrangement plays a…

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