👉 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...

👉 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...

Particle-on-a-Ring Example #2: Calculate Energy, Wavelength, and Momentum

Calculate Molar Susceptibility

Calculus is used to derive the angular frequency and period equations for a physical pendulum. A physical pendulum is also demonstrated and real world calculations are performed. This is an AP Physics C: Mechanics...

From the section: Common Coding Concepts.This section will cover common coding concepts such as Scratch setup, bugs, pseudocode, decomposition, commenting and many more.<b<br/>r/>

Common Coding Concepts: Functions

Differential equations are solved in Python with the Scipy.integrate package using function ODEINT. ODEINT requires three inputs:



y = odeint(mod

el, y0, t)

model: Function name that returns derivative values at...

In this lesson, you will learn how to determine the domain and range of a function by analyzing sets, graphs, equations, and mappings. Understanding the definitions of domain and range is crucial in this process.

In this lesson, students learn how to describe and analyze changes in measurements using absolute change and scale factors. Through examples involving the growth of a tree and the redesign of a cylindrical can, students understand the...

This video continues the exploration of a three dimensional cartesian coordinate system.This video covers three slightly more challenging examples requiring the use of the distance formula in three dimensions.

👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...

👉 Learn how to find the derivative of a function using the chain rule. 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...

👉 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...

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...

The video is an electric presentation on how to solve problems in 3D by breaking them down into their 2D components. The focus is on using Pythagoras and trigonometry to find missing lengths and angles. The presenter provides...

In this video, students will learn how to rearrange geometric formulas using the properties of equality. The teacher explains how to solve equations involving trapezoids and circles, focusing on finding the missing base or radius.

👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...

👉 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...

Mr.p throws a ball toward a bucket that is 581 cm away from him horizontally. He throws the ball at an initial angle of 55° above the horizontal and the ball is 34 cm short of the bucket. If mr.p throws the ball with the same initial...

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 evaluate the limit of a function by rationalizing the radical. 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 time. The limit...

👉 Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute,...

Calculus is used to derive the simple harmonic motion equations for a mass-spring system. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. This is an AP Physics...

👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...