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These are questions asked by DJJerome1976


I use the plots:-shadebetween( ) command quite a bit to visualize volume under a surface over a planar rectangular region. Is there a way, using this same command, to see said volume over a non-rectangular region? For example, the region bounded above by z = x^2 + y^2, having a triangle base 0<=x<=1, 0<=y<=x. If this command does not allow for this, is there some other solution?


How do I get Maple to reduce/simplify the following difference quotient to its lowest terms? Basically I need Maple to rationalize the numerator. Any suggestions on how to do this?

f := proc (x) options operator, arrow; sqrt(2*x+1) end proc

proc (x) options operator, arrow; sqrt(2*x+1) end proc














I'm trying to approximate the solution of an IVP using Euler's method in the InitialValueProblem command and I keep getting this error (see attached worksheet). Can someone explain why? Thanks!



InitialValueProblem((D(y))(t) = t*y(t)+1/y(t), y(0) = 3, t = 2, method = euler, numsteps = 5, output = solution)

Error, (in dsolve/numeric) array output cannot be obtained for problems containing global variables





Can anyone offer an explanation why the following error occurs, and how it can be avoided? Thanks!


plots:-shadebetween(2, 1/sqrt(-x^2+1), x = 0 .. (1/2)*sqrt(3))

Error, (in t) invalid input: nops expects 1 argument, but received 0





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