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When a 2-D region is revolved around an axis, it creates a 3-D solid. To find the volume of such a solid, we slice it into many thin pieces, find the volume of each slice, and then integrate (add up) …
Continue Reading about Disk vs Shell Methods — Explained with Diagrams, Math, and Examples →
An ordinary differential equation (ODE) relates a function y(x) to its derivatives. For example: $latex \frac{dy}{dx}=x$ This equation says the slope of the function y(x) at every point equals …
Differential equations are one of the most powerful tools in applied mathematics because they describe how quantities change with respect to time or space. From predicting how a hot cup of tea cools …
This is a Python program that aggregates and compares performance statistics across multiple WordPress websites that use the Google Site Kit plugin. Instead of logging into each site and checking …
Continue Reading about Multi-Site WordPress Dashboard with Google Site Kit Data →
Understanding the efficiency of algorithms is critical for businesses, especially those relying on data-driven decisions, complex computations, and scalable software. Big O notation is a mathematical …
Approximating expressions like using the binomial theorem is a powerful tool, especially when dealing with small, frequent changes over time. This approach is widely used in finance, marketing, and …
Continue Reading about Utilizing the Binomial Theorem for Practical Business Applications →
