Brian McLogan
Expanding a logarithm as a difference of multiple logarithms
π Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to...
Brian McLogan
Given the first four terms of an arithmetic sequence find the rule
π Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic...
Brian McLogan
Find the focus, directrix and vertex of a parabola in conic sections
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
What are the equations for a hyperbolas with a horizontal and vertical transverse axis
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two...
Curated Video
Learning Python Web Penetration Testing (Video 11)
With the huge growth in the number of web applications in the recent times, there has also been an upsurge in the need to make these applications secure. Web penetration testing is the use of tools and code to attack a website or web app...
msvgo
Zeros and Coefficients of a Polynomial
It explains the relation between the Zeros and Coefficients of a linear polynomial, a quadratic polynomial and a cubic polynomial.
Brian McLogan
How to determine the slope between two points using the formula
π Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Finding the value of x for a hexagon using interior sum theorem
π Learn how to solve for an unknown variable in the interior angle of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle of a polygon is the angle between two sides of the polygon. The...
Curated Video
Apache Maven Beginner to Guru - Installing Dependencies Manually
This video explains how to install dependencies manually. This clip is from the chapter "Maven Repositories" of the series "Apache Maven: Beginner to Guru".This section provides an explanation of Maven repositories.
Brian McLogan
Verifying trigonometric identities, hard with multiple steps
π Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
Verifying a trigonometric identity
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Verifying an identity by multiplying
π Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Verify the identity with co function and even odd identities
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term on the left hand side of the equality sign is equal to the term on the right hand side. To...
Brian McLogan
Find the antiderivative of expression with exponential terms
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Perform subtraction of two functions and then evaluate
π Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Simplify the subtraction of two binomials - Do my homework
π Learn how to add and subtract polynomials by either using the vertical or horizontal method.
Brian McLogan
Learning to subtract two polynomials with multiple terms
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
Solving an equation by using the square root property - Math help
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to solve with factoring a quadratic equation when a=1
πLearn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Finding a line parallel to another line given the y intercept
π Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
Simplifying a complex fraction by eliminating all of the fractions with the LCD
π Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
Pre-Calculus - Subtracting complex rational numbers with standard form, (2/(1 + i)) - (3/(1 - i))
In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can only...
Brian McLogan
How to use the rational zero test to find all of the possible rational roots
π Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
How to use Descartes rule of signs to determine the number of positive and negative zeros
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...