Convert the following equation to Cartesian: {eq}\rho - \sin \psi = 4 - \cos^{2} \psi {/eq}

What is the Cartesian coordinate system? Learn how to locate points on the Cartesian plane and see examples of how the system is used to graph lines.

The mechanical equivalent of heat developed by physicist James Prescott Joule states that an amount of motion generates the same amount of heat. Explore heat, early historical views of heat, and the link between work and heat.

Lines and planes both exist in three-dimensional spaces calculated using vector equations. Explore several examples of how these two concepts are represented and calculated mathematically using vectors.

Rings are sets in which two elements within a set, when added or multiplied, produce results that exist within the set of the two elements. Learn about rings, binary structures, the rules, and ring homomorphism, along with examples.

Learn what a Faraday cage is. Find the materials used to make a Faraday cage and how a Faraday cage works. Review what a Faraday does and what its uses are.

Read about power series. Learn the power series definition, the order, the center, operations, properties, convergence, and view power series examples.

This lesson focuses on the Zeroth Law of Thermodynamics. It contextualizes it with the first, second, and third laws. It also discusses examples and the importance of the zeroth law.

A displacement current is a type of electrical current needed to make electromagnetic waves. Define displacement current and look into its basic function, the Maxwell-Ampere Law, and its role in electromagnetic wave propagation.

Homomorphisms are a type of function between groups that can make certain calculations easier by preserving specific properties of the original groups. Learn how to identify and define group homomorphisms, and explore the ways that they are practically calculated in a sample equation.

Learn about the special theory of relativity. Understand what special relativity is and how it was developed. Know the theory of relativity equation.

In mathematics, double integrals enable the process of integration in two-dimension areas. Explore the applications and examples of double integrals. Review the background on integrals, finding the area of a bounded region, the ordering of integration, finding a volume under the surface, and calculating the mass.

Comprehend RLC circuits and their equations. Learn via an example, its total performance and the performance of its parts.

Explore what Maxwell's equations are by seeing them explained. Learn who James Maxwell was, how his equations are used, and review examples of an equation.

A blackbody is an object that is called a perfect absorber of radiation while blackbody radiation is electromagnetic radiation emitted by a perfect radiator. Discover how these two concepts function while exploring electromagnetic radiation.

The Newton-Raphson method is a method used to find solutions for nonlinear systems of equations. Learn what the Newton-Raphson method is, how it is set up, review the calculus and linear algebra involved, and see how the information is packaged. Finally, explore how to solve a problem using this method with a step-by-step example.

Understand intermediate value theorem and see intermediate value theorem proof. Practice intermediate value theorem examples to learn about its misreading and uses.