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Section 1.2 Graphs and Lines
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Verifying a Trigonometric Identity
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... trigonometric identities. In the next section, you will study techniques for solving trigonometric equations. The key to both verifying identities and solving equations is your ability to use the fundamental identities and the rules of algebra to rewrite trigonometric expressions. Remember that a co ...
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... The quantity denoted by the symbol e has special significance in mathematics. It is an irrational number that is the base of natural logarithms, and it is often seen in real world problems that involve natural exponential growth or decay. The approximated value of e is 2.7182818284 . . . Students ca ...
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Partial differential equation



In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.
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