Brian McLogan
Verifying an identity by combining like terms and using reciprocal properties
👉 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
Learn how to find the domain from dividing two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Learn how to solve a quadratic equation by factoring a perfect square trinomial
👉Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Master How to apply the dot product between two vectors
Master How to apply the dot product between two vectors
Brian McLogan
Calculus - Take the derivative of a natural logarithm using properties of logs, d((x^2)lnx)/dx
In this video series you will learn how to take the derivative of a function. We will first look at the definition of a derivative by identifying the slope of a line to a curve and using the limit definiton of a derivative to evaluate....
Math Fortress
Calculus II: Trigonometric Integrals (Level 7 of 7)
This video concludes the methods for solving trigonometric integrals that contain combinations of sine and cosine. This video covers 4 challenging examples that require the use of different trigonometric identities, multiplying by the...
Brian McLogan
Explaining the rules of logarithms with examples
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Learn how to find when a particle is changing direction from a velocity graph
👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of...
Brian McLogan
Learn how to solve for y of a rational expression
👉 Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...
Brian McLogan
Learn how to solve a multi step equation by using inverse operations
👉 Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the...
Brian McLogan
Dividing two functions to determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Dividing two functions so that we can determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to find domain and range of a rational equation using inverse
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of...
Brian McLogan
Factor a polynomial expression completely over real numbers
Learn how to factor higher order trinomials. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break...
Brian McLogan
Calculus 1 Using the IVT to show that a zero exists on an interval for a function
Calculus 1 Using the IVT to show that a zero exists on an interval for a function
Catalyst University
Catalyst University Math: Proof that 0 to the 0 Power (0^0) is 1
Catalyst University Math: Proof that 0 to the 0 Power (0^0) is 1
Brian McLogan
Multiplying two functions to determine the domain
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Find the solutions to a quadratic equation of a perfect square trinomial
👉Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Calc Unit 4 What is the power rule of integration
Calc Unit 4 What is the power rule of integration
Virtually Passed
Time to swim across river with variable speed - Math Puzzle
You must travel in a horizontal line. Your velocity and the velocity of the river at any instant will add together. Your speed: u = 3 km/hr Speed or river at any horizontal distance x: v(x) = 3x km/hr Thickness of river: h = 1 km
Brian McLogan
Evaluate the cosine of an angle using period as an aide
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
Multiplying two functions and then determining the domain
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Learn how to find the domain for the quotient of two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to determine the domain from quotient of two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...