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These are questions asked by DJJerome1976

I would like to show a single plot comparing the 2nd, 3rd, and 4th degree Taylor polynomials of y=sqrt(2x+1) centered at x=4, with each polynomial having a different color. By default, Maple produces the plot with the function in red and all polynomials in blue. I can easily do this using the plot command, but I'd like to know if there is an option in the TaylorApproximation command that would achieve the same end result.


It is pretty easy to get the principal value of the logarithm of the imaginary unit, say. Is it just as easy to get all values of the logarithm of the imaginary unit?

Forgive me if this is a duplicate, but I couldn't find a similar questions.


I am aware of how to plot the feasible region defined by a system of linear inequalities (inequal in the plots package). Also, I can use the implicitplot command to plot the feasible region defined by a single nonlinear inequality. My question is, how do I plot the feasible region defined by a system of nonlinear inequalities. For example, how would a graph the region satisfying x>=0, y<=exp(-x), and y>=x^2?


I just noticed something rather peculiar (well, to me, at least). When I compute the limit


as is, I get the expected result of exp(1).


However, if I load the RealDomain package prior to computing the limit,



I get that the limit is undefined. 

Any ideas as to why that is the case? Thanks!


I would like to animate the solution to


y'(t)= -4x(t)


that passes through x(0)=2, y(0)=1 as it orbits (0,0). I need to include the phaseportrait as the background. Any ideas on how to accomplish this?



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