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Equation Mastery

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Questions and Answers

Which of the following best defines an equation in mathematics?

A formula that contains one or more variables

A well-formed formula consisting of two expressions related with an equals sign

A mathematical formula that expresses the equality of two expressions (correct)

A mathematical statement that connects two expressions with an equals sign

What are the variables for which an equation has to be solved called?

Unknowns (correct)

Identities

Conditional equations

Solutions

Which of the following is true about identities?

They are well-formed formulas consisting of two expressions related with an equals sign

They are true for all values of the variables (correct)

They contain one or more variables

They are only true for particular values of the variables

What is the purpose of solving an equation containing variables?

To determine which values of the variables make the equality true Signup and view all the answers

When was the equals sign (=) invented?

1557 Signup and view all the answers

Which term is used to describe the use of numerical methods to find approximations to the solutions of ordinary differential equations?

Numerical integration Signup and view all the answers

In which field do ordinary differential equations occur?

Physics Signup and view all the answers

What is the alternative method to finding a numeric approximation to the solution of a differential equation?

Obtaining a series expansion Signup and view all the answers

For what purpose is a numeric approximation to the solution of a differential equation often sufficient?

Practical purposes, such as in engineering Signup and view all the answers

What do some methods in numerical partial differential equations convert the partial differential equation into?

An ordinary differential equation Signup and view all the answers