Zach Star
What is Biochemistry?
Biochemistry is the combination of majoring in biology and chemistry. As a biochemistry major you will take more classes related to chemistry until your 3rd and 4th year where you can choose electives in biology or chemistry. Biochemists...
Brian McLogan
How to write the domain of a rational function
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Learn how to take the fourth derivative of a polynomial
👉 Learn how to find the higher derivative of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function...
Virtually Passed
Conservation of Mechanical Energy Proof (1DoF)
Here is a quick proof of the conservation of mechanical energy in a 1 dimensional system. Conservation of mechanical energy only exists if their are strictly conservative forces acting on the particle. If there are non conservative...
Brian McLogan
How to write the domain of a rational function with a radical in denominator
👉 Learn how to find the domain of rational functions with a radical denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Flipping Physics
AP Physics C: Work, Energy, and Power Review (Mechanics)
Calculus based review of work done by constant and non-constant forces, Hooke’s Law, Work and Energy equations in isolated and non-isolated systems, kinetic energy, gravitational potential energy, elastic potential energy, conservative...
Brian McLogan
Given a vector find the unit vector u and check your answer
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
How to find the value that makes a piecewise function continuous
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Evaluate the limit of a piecewise function by graphing
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn how to take the derivative using implicit differentiation by taking the ln of both
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Catalyst University
Series | The Integral Test: Theory and 1 Full Example
Series | The Integral Test: Theory and 1 Full Example
TMW Media
Cylinders, Cones and Spheres: Calculating the volume of a sphere
What is the formula to calculate the volume of a sphere? Given the radius or diameter, how do you calculate the volume of a sphere? Cylinders, Cones and Spheres, Part 6
Brian McLogan
Find the value c that fills in the hole to make the 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...
Brian McLogan
Learn to evaluate using the definite integral with square root
👉 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 indefinite integral or as a definite...
Brian McLogan
Find the Unit Vector
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
Evaluate the limit with delta x difference quotient
👉 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
Use the definition of a derivative to evaluate the limit
👉 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
Learn how to use u substitution to integrate a polynomial
👉 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
Learn how to find the domain of a radical function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Math Fortress
Calculus II: Trigonometric Integrals (Level 5 of 7)
This video continues illustrating methods in solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 challenging examples...
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 evaluate the limit from a table
👉 Learn how to evaluate the limit of a function from the table of values of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that...