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