mvms271091

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These are questions asked by mvms271091

question8.mw

In the exercise uploaded I have to plot asymptotes of a function. I know this is possible using definitions of all kind of asymptotes and ploting in a figure. However I would like to know if exists some parameter for plot method that automatically show asymptotes.

question7.mw

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***e2.106

 

Plot this couple of parametric equations, identify the geometric figure known as the folium of Descartes , and relate properties of the figure to numerical coefficients in the equations.

  x = 3*t/(t^3+1), y = 3*t^2/(t^3+1)   

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restart: with(plots):

 

 

 

See how the plot of the folium of Descartes can be built with the following code:

d1 :=

Error, invalid terms in product: -10 .. 10

Error, invalid terms in product: -10 .. 10

Error, (in plots:-pointplot) points cannot be converted to floating-point values

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For this question I need that who help me focus in second block of code in the document. Basically, what I am trying is to get a plot of folium of Dercastes using parametric equation to plot ordered pairs. In order to success, is needed to exclude t=-1. In the block is showed what I tried. I concluded that my approach in solving that part of exercise is wrong. What could be a well approach?

question6.mw
How you can see, in the following exercise I built five plots, every one with the graph of two functions. The exersise say that I must find coordinates of any intersection. I think I can do it with solve command. However, I want point out coordinates of  intersections inside the plots. Probably exists a command or a parameter to success with my objetive. How can I do it?

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*** e2.103

 

Plot the following couples of formulae; note in particular the contrasting forms of two curves in each case, and find the coordinates of any intersections.

i)    {x, x^3},

ii)    {x^2, x^4},

iii)    {1/x, 1/x^2},

 iv)   {x^2, sqrt(x)},

 v)   {x^3, abs(x^(1/3))}

 

restart:

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Thank you for helping me;
Greetings;
Lic. Marcus Vinicio Mora Salas;
Chemist;
Postgraduate student at University of Costa Rica;

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question5.mw

In document uploaded I tried to write a code to get as output 11 plots. I would like a format as this: 9 plots in 3 columns an 3 rows, and a fourth row with two center plots. To explain me better, I drew a rustic sketch of what I want, basically something like this:

However I tried but I fail and my output is horrible. So, I want to ask: Does exists some option to the plot[display] command or should I try another aproach?

Thank you for helping me;
Greetings;
Lic. Marcus Vinicio Mora Salas;
Chemist;
Postgraduate student.

This is a simple problem of Chemistry. I solved the exercise, but there are three aspects I don't like about output:
1) Even kg*m2 *s-2 = J (SI unit to energy) and both are correct, one must be explicit with units in order to be totally clear, so I need an output with units of J/mol and not kg*m2 *s-2 mol-1.
2) I had to hardcode number of significant figures, so I had to analize quantitys in order to determine this number, wich as you can see, is three. I think Maple can compute significant figures automatically, but I could not find the command in documentation and even in this case is not totally needed, I would like to learn how do it because it could be very useful for more complex expressions.
3) Finally, output must be expressed using scientific notation, it's say enthalpy = 10.4*104 J/mol.
Therefore: How can I get adecuate output?
Thank you for helping me;
Greetings;
Lic. Marcus Vinicio Mora Sallas;
Chemist;
Postgraduate student. question4.mw

*** e1.501

 

Using this equation attributed to Clausius and Clapeyron,

ln(P[2]/P[1]) = Delta*H[vap]/R 1/T[1]-1/T[2]

and these data for the vapour pressure of liquid mercury at the indicated temperatures,

      P =  1.6 10^(-4) Pa at T = 273.15 K and P = 36.4 Pa at T = 373.15 K

estimate the enthalpy change Delta*H[vap] for vapourization of mercury over this range of temperature.

 

p := [1.6e-4*Unit('Pa'), 36.4*Unit('Pa')]:

Delta(H[vap]) = 0.105e6*Units:-Unit(m^2*kg/(s^2*mol*K))*Units:-Unit(K)

``

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