In this video, we explore the concept of end behavior in polynomials. We learn that the behavior of a polynomial as x approaches positive or negative infinity depends on the degree and leading coefficient of the polynomial. We examine...

This video goes over two examples, covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically, integration by parts and u-substitution.

In this video, the teacher explains how to find the zeros of a polynomial function using a graphing calculator. They demonstrate the process of long division to determine factors and use the quadratic formula to solve quadratic...

In this video, mathematicians learn how to find the axis of symmetry in a quadratic equation. The axis of symmetry is a line that divides the parabola into two mirror images. By understanding the concept of symmetry and using the formula...

In this video, the teacher explains how to factor a quadratic function to find its zeros. They demonstrate the process using examples and highlight common mistakes to avoid.

👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...

In this lesson, you will learn how to determine whether the solutions of a quadratic equation with no linear term are real or imaginary. By isolating the quadratic term and considering the square roots involved, you can determine if the...

In this video lesson, you will learn how to solve any equation of the form x squared plus bx plus c equals 0 by completing the square. The teacher explains the steps involved in completing the square and demonstrates with examples....

In this video, the teacher explains how to determine the nature of the roots of a quadratic equation by examining the discriminant. The discriminant is the part under the square root in the quadratic formula, and its value can indicate...

In this lesson, mathematicians will learn how to model quadratic functions by drawing graphs and writing equations. They will understand the concept of squaring a number and how it relates to the area of a square. By exploring the...

👉 Learn how to take the derivative of a function. 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...

Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...

In this lesson, students will learn how to identify the zeros of a quadratic function that fits the perfect square pattern by factoring. They will understand that the zeros of a function are the input values that make the function equal...

Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...

Interpolation constructs new prediction points from a discrete set of known data points. There are many types of interpolation such as nearest neighbor (piecewise constant), linear, polynomial, cubic spline, and basis...

In this video, the teacher explains the difference between quadratic expressions and quadratic equations. They use examples, such as a roller coaster path and building a patio with a brick border, to illustrate the concepts. The teacher...

Dear Calculus 2 Students, This is why you're learning Taylor Series

Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...

In this video, the teacher explains how to derive the quadratic formula by completing the square. The steps are broken down and explained clearly, making it easy for students to understand.

Given certain parameters, how would you solve the second part of this problem?<br/>
Potential Energy And Energy Conservation, Part 5

In this video, students learn how to find the dimensions of a figure formed when removing a smaller square from a larger square. The teacher explains the concept of polynomial identities and demonstrates how to use them to find the...

In this video, the teacher explains how to solve quadratic equations using the quadratic formula. They highlight common mistakes to avoid, such as squaring negative numbers and correctly identifying the coefficients.

Solutions to Problem 21.