alla

Is there a convenient way to express a 2nd or higher derivative, say in an eval statement, so that it is not confused with an expression containing an exponent?

This function

f(x) = { 0,           x = 0
          { 1 - x,      0 < x < = 1

is not continuous on [0, 1].

So I wrote

f := x -> piecewise (x = 0,0,x > 0,1-x);
plot(f,0..1);

But Maple doesn't show the lack of continuity. (discont=true doesn't do anything here). Can I improve the plot?
 

Alla

Why does Maple fail to respond to

solve( {(560/243)*(x+1)^(-13/3)},{x});

I'm an autodidact working with calculus and Maple 9.5,  I find the Maple Learning Guide more illustrative than comprehensive and the help files too oriented toward users who know more math and/or more Maple than I do.  This forum has proved helpful in responding to specific questions, but I'm looking for some books that would provide guidance on the full range of Maple's potential.  I'm not looking for a primer, but rather something as comprehensive as the help files that makes fewer assumptions about the reader's knowledge and is written

Would someone please give me the correct syntax for finding extrema on a closed interval for

f(x) = 3x^4 - 4x^3  on the interval [-1, 2]

that would include the left & right endpoints should one of those be the maximum or minimum.

Alla

How would you graph the eight curve in Maple?

x^4 = a^2 (x^2 - y^2)

Alla

An annoying feature of Maple is that if it crashes (all too often) & you have not given your worksheet a name, the file is lost despite having activated Auto-Save.

1)   Is the previous statement correct for Maple 9.5?

2)   If so, has this bug been corrected in later versions?

Alla

Consider this problem in differentiation:

d/dx [ sqrt(u^2) ],  where u is a differentiable function of x and u < > 0.

The answer is:

u'  (u/|u|),  where u' is the derivative of u with respect to x.

This problem involves implicit differentiation & the chain rule.

What Maple input will produce the answer above?

Alla

I have used Maples' least squares capability to fit quadratic & cubic models without any problems.  However, the documentation includes this curious statement: "One can also specify nonlinear curves -- as long as the unknown parameters appear linearly."  What does this mean?  What would nonlinear parameters look like?
 

Alla

If you have a standard math, complicated expression in your Maple worksheet that you would like to include in a blog in this venue, what's the most economical way to copy & paste it?

Alla

When inserting standard math into a text region, Maple insists on converting even simple decimals like 0.01 into scientific notation.  Can I suppress that?

Allan

If x -1 is regarded as the difference of two cubes, can Maple factor it?

Alla

Can Maple graph the Dirichlet function?

f(x) =   {0,   if x is rational
            {1,   if x is irrational

Alla

Maple says that the limit of sqrt(x), as x goes to 0, is 0, but Edwards of Larson et al. says that it isn't because "f(x) = sqrt(x) is not defined on an open interval containing 0 because the domain of f is x > = 0." 

 Comments?
 

Alla

Why does the following give me an imaginary number?

 (-.008)^(1/3);