awehring

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These are questions asked by awehring

I have a function T = x*z(x), that I want to plot.

T should be drawn at the y-axis. But at the x-axis, there should not x be used, but z(x).

It shall look like:

 

T

¦

¦

¦

¦

¦-------------------------------------- z

Any idea how to do this?

BTW: I read, that Maple 16 has enhanced plotting functions. Is it worth the upgrade or are there just minor goodies?

In economics, variables are always real and often positive.

With assume(x>=0) I can set this for individual variables. But with many variables it is arduous.

Is it possible to set by default all variables to >=0 and define ony the exceptions individually?

Thanks you !

With Maple I get the following result

A*x^`beta` = R-A*`beta`/(x^(1-`beta`)*(1-t))

For easier interpretation I would prefer the following, equivalent form:

1/(1-t) * 1/(R-A x^beta) = 1/(A*beta) * x^(1-beta)

I tryed a lot,...

As an intermeditae result I get from maple

A*x^beta = R-1/((y/A)^((1-beta)/beta)/(A*beta))(1-t)

It is obvious, that two fractions can be reduced by (1-t).

I could not reach this with simplify, solve, factor, expand, ...

Any idea?

 

In addition in the numerator (1-t)^2 is possible. How do I get this?

Thanks for any help !

testeq() gives inconsistent results. See this example:

Equation (1):

Y*(1-h*p^Phi)*(1-t)+sum(Y*(1-t)/(1+r)^s, s = 1 .. infinity)

computes to

Y*(1-h*p1^Phi)*(1-t)+sum(Y*(1-t)/(1+r)^s, s = 1 .. infinity)

Equation

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