obtain the equation of a line


obtain the coordinates of the midpoint of a line segment


obtain the slope of a line segment


compute the distance between two points


complete the square

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Context Panel: Complete Square


square both sides of an equation

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Context Panel: Manipulate Equation


substitute into an expression

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Context Panel: Evaluate at a Point

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Context Panel: Constructions → Evaluate At → [variable name] (yields unevaluated evaluation)

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Use the template $\genfrac{}{}{0ex}{}{{f}\left({x}\right)}{\phantom{x\=a}}\genfrac{}{}{0ex}{}{\phantom{\mathrm{f(x)}}}{{x}\={a}}$from the Expression palette; replace ${f}\left({x}\right){}$with the expression on which to perform the substitution, and overwrite ${x}\={a}$ with either the variable name equated to a value or a list of such equations

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Use the command eval to substitute a variable or value into an expression


substitute into an equation

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Use any of the devices for substitution into an expression, except that the Context Panel for an equation does not provide the Constructions option


obtain the solution to RootOf

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Context Panel: All Values

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Context Panel: Conversions → To Radical


force an equation to be an identity

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Use the command solve(identity(eqn, x), vars); the expression (or equation) eqn is considered an identity in terms of the variable x, and solve attempts to find a solution in terms of vars that satisfies eqn for any value of x.


determine the inverse of a function

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Function Inverse Tutor:


interpolate data

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Context Panel: Curve Fitting → any of
BSpline, Interactive Curve Fitting, Least Squares,
Polynomial Interpolation, Rational, Spline, Thiele

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Curve Fitting Assistant:
This assistant also allows you to import data into Maple from an external file to produce plots of various interpolating functions (Example 2.1)


obtain a partial fraction decomposition of a rational function

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Context Panel: Conversions → Partial Fractions → [variable name]


obtain real values of ${x}^{1\/3}$

