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You are used to solving equations using basic algebraic operations and perhaps the quadratic formula. However, some equations cannot be solved using these methods. For example the equations: \[\begin{align*} e^{-x} & =x & \left(1\right) \end{align*}\] or \[\begin{align*} -\ln\left(x\right) & =x^{3} & \left(2\right) \end{align*}\] cannot be solved using conventional methods. However...
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Some integrals cannot be evaluated in terms of the rules of integration or elementary functions. Simpson’s rule is a numerical method that calculates a numerical value for a definite integral. You will have evaluated definite integrals such as \[\begin{align*} \int_{1}^{3} & \left(x^{2}\right)dx \end{align*}\] before. In doing this, you are evaluating...
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The trapezoidal rule is a numerical method that calculates a numerical value for a definite integral. Some integrals cannot be evaluated in terms of the rules of integration or elementary functions. You will have evaluated definite integrals such as \[\begin{align*} \int_{1}^{3} & \left(x^{2}\right)dx \end{align*}\] before. In doing this, you are...
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Numerical methods are a collection of techniques used to solve mathematical problems that are difficult or impossible to solve with exact solutions. These worksheets are filled with information that will improve your skills in numerical methods. NM1 Newton’s method Some equations cannot be solved using algebra or other mathematical techniques....
