121616949-math.294 - allvalues solve(sin(x)=cos(x-1,x The...

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280 Appendix A Introduction to Maple map(g,[-3,-2,-1,0,1,2,3]); map(g,{-3,-2,-1,0,1,2,3}); Using the ‘map’ operation and a function (not an expression) you can evaluate a func- tion on a list of values. The list can be en- closed in square brackets or in set braces— but notice the difference! The set braces produce a set as a result, meaning that re- peated values are shown only once, and the order does not necessarily correspond to the order of the input values. In general, the square bracket form is more useful. A.2.4 Solving Equations Maple will solve a limited class of equations exactly and a broader class approximately. solve(x^2-x-10=10,x); solve(x^2-x-20,x); solutions:=solve(g(x),x); solve(x^5+4*x^3-3*x^2+10,x); solve(tan(x)=x+1,x); allvalues(%); solve(tan(x)=x,x);
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Unformatted text preview: allvalues(%); solve(sin(x)=cos(x)-1,x); The solve command will give exact answers if possible, including complex answers. If Maple can’t solve an equation it may print nothing, or it may display the equation in a standard form, preceded by ‘RootOf’. You can ask Maple to attempt to evaluate roots displayed as a RootOf using allvalues . Maple will attempt to find all solutions for an equation or a RootOf, but often will not succeed. Do not rely on the solve command alone when looking for solutions to equations—at the very least, you should graph your func-tions so that you know where roots appear to be. Note that if you give an expression instead of an equation Maple assumes that you mean ‘= 0’....
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