Dear all calculus students, This is why you're learning about optimization

According to NASA, the mass of the Earth is 5.97 x 10^24 kg, the mass of the Moon is 7.3 x 10^22 kg, and the mean distance between the Earth and the Moon is 3.84 x 10^8 m. What is the force of gravitational attraction between the Earth...

A day does not go by without using simple machines. This program explores the six major types of simple machines with practical, colorful examples of each. Vivid video footage illustrates how each of the following simple machines works...

Huntsman spider also called clock spider belongs to the family of Sparassidae. The Sparassidae family of spiders have eight forward facing eyes giving them an enigmatic look. What makes huntsman spider different from ordinary spiders is...

The video discusses the relationship between orbital speed, orbital radius, and orbital period of objects in space. It explains how to calculate orbital speed using an equation and provides examples such as calculating the orbital speed...

Measuring is a vital process in science, and it is a process all students can carry out. This program demonstrates many of the different ways measurement occurs in science including measuring length, mass, volume, and temperature....

In this video, the teacher explains how to compare two data sets using comparative box plots. They discuss the elements of a box plot, such as the minimum, maximum, median, lower quartile, upper quartile, and interquartile range. The...

This is a lecture presentation on stars and galaxies. The presenter starts by describing the general structure of our solar system and the Milky Way, which is one of the billions of galaxies in the universe. They explain how astronomical...

This problem involves finding the reaction forces acting on a truss with a 20kN force acting on it.

In this video, the teacher explains how to solve word problems involving addition of fractions with unlike denominators by using a number line. The teacher emphasizes the common mistake of simply adding the numerators and denominators...

From the section: Routing Introduction. In this section, we look into Routed protocols, demonstrations, static routes, dynamic routes, and different types of routing protocols.



Routing Introduction: Types of Routing Protocols...

In this lesson, students learn how to solve real-world problems involving similarity criteria. Using the example of finding the distance across a canyon, they apply the vertical angle theorem and angle-angle similarity postulate to...

In this video lesson, students learn how to convert fractions into repeating decimals and how to visually represent them. The teacher explains the concept using examples and a number line, demonstrating that repeating decimals only have...

In this video, students learn how to represent fractions as a sum of unit fractions using a number line. The video explains that fractions represent exact numbers on a number line, and demonstrates how to divide the distance between 0...

In this lesson, students will learn how to sort quadrilaterals by grouping them based on their shared attributes. They will explore concepts such as parallel sides, square corners, and sides of equal length.

The second moment of area (or moment of inertia of area) about the x or y axis can be found using the integral of y^2 dA and x^2 dA respectively. <b<br/>r/>

The larger the moment of inertia, the greater resistance to bending / rotation.

The bar is purely rotating about the pin support. However, we can view this phenomenon as simultaneously rotating about the center of mass while the center of mass is moving in a circular path. This means we have to include both the...

In this video, the teacher explains how to find the perimeter of a rectangle using an algorithm. They clarify the difference between area and perimeter, introduce the concept of variables, and demonstrate how to use the formula for...

This video explains how to add negative numbers by using a number line. It demonstrates that adding negative numbers is similar to adding positive numbers, as both involve moving in the same direction on the number line. The video also...

How big do you think our solar system is? Up until Pluto? A bit beyond? How big can other solar systems get?

A formal proof of the parallel axis theorem. It's really useful for finding moments of inertia of composite objects and also objects which aren't rotating around the center of mass.

Zach Star demonstrates a surprising topological proof - you can always cut three objects in half with a single plane

In this lesson we continue to use what we have learned about solving Uniformly Accelerated Motion (UAM) problems. This problem is more complicated because it involves two, interconnected parts.

Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which otherwise keeps planetary orbit circular. For a very long time, from Ptolemy to...