## 30 Reputation

11 years, 163 days

## Plotting and asymptotes...

Maple 2016

Hi all.

1. When plotting the function y=(x-1)/(x-2) on Maple 2016, the asymptote along with the actual curve is drawn as "solid lines/curves".  The asymptote should have been drawn as a dotted line to indicate that x=2 is an asymptote so as to distinguish itself from the actual curve.   This confuses my students.

2. The other question is if I modify the equation to y=1+ (x-1)/(x-2), the plot only shows the asymptote at x=2 (again, a solid line).  There should be another asymptote at y=1, which is not shown.

Can someone please advise if Maple would fix this in the next update?    If not, how should one "fix" this when graphing such functions?

Many thanks.

## Temperamental Maple...

Maple 2015

Hi all.

I am using Maple2015.

I typed in as input y=x/sqrt(1-x^2).

I hit enter.  The output is:

I know the 2 answers are equivalent.

My question is why did Maple swap 1-x^2 to -x^2+1???

Any advice to swap it back would be greatly appreciated.

## How do I solve a complex multi-regressio...

Maple 18

Hi all.  I have researched into this problem.  But I could not find a solution to this.

Here is an example.

I have a set of independent variables, say there are 5 of them.  They are 1. Gender 2. Age group 3. Full or part time 4. First language.

I have a set of dependent variables.  Let us consider for an example 6 of them.  They are (i) Develops breast cancer (ii) Develops skin cancer (iii) Develops lung cancer (iv) develops prostate cancer (v) Lives till 50 (vi) Lives till 60 ...

How do I perform the following prediction:

(A) If a person is male and above 50, what are the chances that he is likely to develop prostate cancer?

(B) If a person is female and works part time, what are the chances that she is likely to develop breast cancer and lives till 60?

I need to develop a code and formula to do this?  Can someone please advise?

Many thanks.

Kind regards,

Kris

## Complex Numbers...

Maple
Hi all. I am trying to find the cube roots of -sqrt(6)-sqrt(18)*I in polar form. I have used the following commands but it does not convert the argument properly. Can anyone help? readlib(polar); sola:=solve(z^3=-sqrt(6)-sqrt(18)*I,z); polar(sola[1]); polar(sola[2]); polar(sola[3]); I have also used the following but it could not simplify the argument/angle. sola1 := simplify(convert(sola[1], polar)); Can anyone please suggest a fix to this? The argument...

## Failure to convert from ln to arccosh...

Maple 13

Hi all.

I was trying to perform a simple integration and convert the answer to a inverse hyperbolic function as follows:

int(9/sqrt(81*x^2-4),x);

simplify(%);

convert(%,arctrigh);

But the command convert fails to do the conversion. I should obtain arcosh(9/2*x)+c.   But the answer is in terms of the natural logarithm: ln(9*x+sqrt(81*x^2-4))

How do I manipulate the answer so that I can get the inverse hyperbolic answer?

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