![]() 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. The root function takes the form root(f(var), var, ). 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. For now, we will focus on using the root 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. Some of the functions discussed require initial guess values, thus a plot is useful to help select the initial guess. This helps to visualize the solution before using PTC Mathcad to solve the equations. As discussed in Chapter 8, when trying to solve for an equation, it is very useful to plot the equations. Because these are some of the most useful functions for engineers, this chapter will use many examples to illustrate their use. The intent of this chapter is to illustrate how engineering problems can be solved using the PTC Mathcad functions root, polyroots, and Find. In this chapter, we will add more solving tools to your PTC Mathcad toolbox. In Chapter 10, we introduced the keyword “solve” with the symbolic evaluation operator. It ranks up there with the use of units as one of PTC Mathcad's best features. Solving engineering equations is one of PTC Mathcad's most useful power tools. Once you begin using the solving features of PTC Mathcad, you will wonder how you ever got along without them. Solving Engineering equations root function polyroots solve block lsolve maximize TOL and CTOL object in motion electrical network pipe network chemistry pipe flow Keyboard Shortcuts for Worksheet Management.Keyboard Shortcuts for Editing and Worksheet Management PTC® Mathcad Prime® 3.0 Keyboard Shortcuts When to Separate Project Calculation Files.Using User-defined Functions in Standard Calculation Worksheets.How to Use Redefined Variables in Project Calculations.Potential Problems with Inserting Standard Calculation Worksheets and Recommended Solutions.Creating Standard Calculation Worksheets.Copying Regions from Other PTC Mathcad Worksheets.Assembling Calculations from Standard Calculation Worksheets Part IV: Creating and Organizing Your Engineering Calculations with PTC Mathcad.Solve Blocks using Maximize and Minimize.Getting Started with Symbolic Calculations.Part III: Power Tools for Your PTC Mathcad Toolbox.Using Conditional Programs to Make and Display Conclusions.Introduction to the Programming Toolbar.Using Range Variables to Set Plot Domain.Part II: Hand Tools for Your PTC Mathcad Toolbox.Using Labels to Distinguish Between Variables and Units.Additional Information About Math Regions.Features from Mathcad 15 that Are Not in Mathcad Prime 3.0.Exciting New Features in PTC Mathcad Prime.PTC® Mathcad Prime® 3.0 for Current Mathcad 15 Users Programming, Symbolic Calculations, Solving and Calculus.An Introduction to PTC® Mathcad Prime® 3.0 Part I: Building Your PTC Mathcad Toolbox.Solving Engineering Equations by Brent Maxfield Essential PTC® Mathcad Prime® 3.0 ![]()
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