👉 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...

👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...

👉 Learn how to determine the extrema, the intervals of increasing/decreasing, and the concavity of a function from its graph. The extrema of a function are the points where the graph changes from increasing to decreasing or vice versa. A...

👉 Learn how to find the rate of change from graph. The rate of change is the rate at which y-values are changing with respect to the change in x-values. To determine the rate of change from a graph, a right triangle is drawn on the graph...

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...

Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the...

👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...

Solutions to Problem 15.

👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...

In February, Olympic skiers such as Julia Mancuso, Ted Ligety, Marco Sullivan and Scott Macartney will race down Vancouver's Whistler Mountain at speeds of up to 90 miles an hour. Paul Doherty, senior scientist at the Exploratorium in...

Again with the graphs? Yes. Absolutely Yes. Graphs are such an important part of any science, especially physics. The more you work with graphs, the more you will understand them. Here we combine graphs and uniformly accelerated motion....

👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...

Eddie and the Car | POEM| From 'You Wait Till I'm Older Than You' (Puffin).

👉 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...

I discuss a few experimental facts about some weird thing called Spin, especially the Stern Gerlach experiment.

In this video, the teacher explains how to graph a line using the slope-intercept form of an equation. The examples provided demonstrate how to find the y-intercept and slope, and how to plot points to create the line on a graph.

👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...

👉 Learn how to determine whether a function is increasing or decreasing from the function's table of values. Given a table of value of a function, we determine whether the function is increasing or decreasing by obtaining the difference...

👉 Learn all about writting the equation of a 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 which we can write the...

In this video, learn how to create a verbal description of a linear relation by using a graph or equation. Review examples of scenarios that fit different equations and graphs, such as a wildfire spreading at a constant rate or a person...

👉 Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...

👉 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...

👉 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...

Hill Coefficients