If PTC Mathcad is not arriving at a solution, you can refer to PTC Mathcad Help for ideas on how to help resolve the issue.Ĭomplex numbers may be used as an initial guess to arrive at a complex solution. If your initial guesses are close to a maximum or minimum point or have multiple solutions between the bracketed initial guesses, then PTC Mathcad may not arrive at a solution, or may arrive at a different solution than you wanted. If you do not use a plot to determine your initial guesses, PTC Mathcad may not arrive at the solution you expect. Let's look at some simple examples of using See Figures 11.1 andįIGURE 11.2 Another example of using the function root The variable used on the x-axis needs to be a previously undefined variable. If you do not use a different variable name, the plot will not work because PTC Mathcad will only plot the value var on the x-axis. As an example consider the quartic polynomial. When plotting the function, use a different variable name on the x-axis than the variable you define for your initial guess. To have mathcad find the roots, first define a function that is zero at the. If you do not specify the numbers a and b (unbracketed), then var must be defined with an initial guess prior to using the root function. This is because the function must cross the x-axis in this interval. The values of a and b must meet these requirements: a < b and f(a) and f(b) must be of opposite signs. If they are specified (bracketed), root finds var on this interval. It returns the value of var to make the function f equal to zero. Because of this, it is helpful to plot the function prior to giving PTC Mathcad the initial guess. If a function has several solutions, then the solution that PTC Mathcad finds is based on the initial guess you give PTC Mathcad. They set up user-defined functions for the perimeter and area calculations in terms of a single variable, the circle radius. For now, we will focus on using the root function. They recognized that one method of finding a maximum or minimum is by evaluating the roots of the first derivative of a function. We will also discuss solving multiple equations with multiple unknowns. In later sections, we will discuss finding all the solutions to a polynomial function. The root function is used to find a single solution to a single function with a single unknown.
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