Daily Archives: December 7, 2024

Properties of Logarithms – Part 2: Solving Logarithmic and Exponential Equations!In this video, we dive deeper into solving equations involving logarithms and exponentials. We’ll use properties of logarithms and cancellation laws to solve four equations—three involving logarithms and one with an exponential function. The final logarithmic equation requires additional steps […]

In this example we look at proving a limit result by using the precise definition of a limit.This definition often confuses people but really we are just trying to capture the notion of ‘closeness’ by using absolute value and inequalities.This type of limit example where we deal with a linear […]

Multivariable Calculus: Finding and Sketching the Domain of a function z = f(x,y).In these examples, our domain will be some region D in the XY-plane. To find the region, we approach the problems much like when we have a function of a single variable.Here I look at two examples of […]

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Slopes of Tangent Lines in Polar Form, Ex 2. In this video, I give the formula to find the slope of a tangent line when the curve is described […]

Solving Quadratic Equations by Factoring – Basic Examples. In this video, I solve two basic quadratic equations by factoring. Notice that the second quadratic equation is a bit more tricky, largely due to the coefficient in front of the x^2 term. To factor this quadratic polynomial, I simply use trial […]

Graphing a Logarithm Function: A Step-by-Step Example In this video, we’ll walk through an example of how to graph a logarithmic function, specifically y = log₄(x). We’ll use a table of values to plot key points on the graph and discuss how the logarithmic curve behaves for different bases. This […]

In this video, I discuss two special right triangles, how to derive the formulas to find the lengths of the sides of the triangles by knowing the length of one side, and then do a few examples using them!Knowing the corresponding side lengths for these special right triangles is very […]

Signed Hardcover (includes PDF)- https://author-jonathan-david-shop.fourthwall.com/products/the-ultimate-crash-course-cheat-sheet-for-stem-majors-with-bonus-pdf-access-to-all-fiction-and-nonfiction-titles PDF-eBook- https://author-jonathan-david-shop.fourthwall.com/products/the-ultimate-crash-course-includes-bonus-ultimate-cheat-sheet-800-pages-of-goodness All updated editions will be available for download via AuthorJonathanDavid.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Chebyshev’s Theorem – In this video, I state Chebyshev’s Theorem and use it in a ‘real life’ problem.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Conic Sections, Parabola, Shifted : Find Equation Given Vertex and Focus. Here we find the equation of a shifted parabola given information about the vertex and the focus.