Brian McLogan
Simplifying the difference quotient of a quadratic function
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Apply the dot product between two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Brian McLogan
How to add and subtract three radicals, square root
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Dividing rational expressions
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
How to add fraction with unlike denominators and get improper answers
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Learn how to expand a logarithmic expression and use parenthesis and brackets
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Tarver Academy
Evaluating Expressions
In This Episode, Tyler Teaches Us About Evaluating Expressions
Brian McLogan
How do you simplify trigonometric expressions
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
Simplifying trigonometric expressions by using pythagorean identities
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
Determining the sine of the sum of two angles
👉 Learn how to evaluate the sine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
How to Find the Unit Vector U in the Same Direction as Vector V
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
Learn how to solve a multi step inequality and graph the solution
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e....
Brian McLogan
Graphing the exponential function with transformations
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Properties of logarithms for condensing an expression
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Condense a natural logarithmic expression
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Curated Video
Combining Functions by Dividing
This video offers a comprehensive understanding of dividing functions and how to create new functions through division. It explains the importance of finding the zeros of a function and demonstrates how to do so through factoring and...
Brian McLogan
Given the vertex and a point, write the equation of a parabola in vertex and standard form
👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
How to set up and solve as a proportion different problems with percents, 8% of 13
👉 Learn how to solve problems using percents. When solving problems with percents we will either convert the percents to decimal form or use proportions to solve. We will look to solve for the percent of change, the original price,...
Brian McLogan
Algebra 2 - Adding complex numbers (3-i) + (4+2i)
In this video tutorial I will show you how to add and subtract complex numbers. When combining complex numbers it is important for us to understand that we must have like terms. We then add and subtract in either the horizontal or...
Brian McLogan
How to simplify an expression with factorials
👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are...
Brian McLogan
Condensing a logarithmic expression to one logarithm
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Value k that makes the rational piecewise function continuous
👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Curated Video
Using the Equation for Velocity, Acceleration, and Distance Without Time
The video demonstrates how to use an equation for finding the initial and final velocities of an object, its acceleration, and the distance traveled during that acceleration without any reference to time. The equation is explained, and...