## Ramakrishnan

Ramakrishnan Vaidyanathan

## 399 Reputation

10 years, 78 days

## Social Networks and Content at Maplesoft.com

With twenty years of Industrial experience and twenty years of teaching experience, I am now as retired Professor, using Maple to teach mathematics subject for students studying X to XII standards. Published XII Mathematics books.

## Real parts command Re can be used...

seq(evalf(Re(evalf[d]((exp((-1-I)*Pi))^(1+I)))), d = 10 .. 3010, 300);
0.9999999999, 1.000000000, 1.000000000, 1.000000000, 1.000000000,

1.000000000, 1.000000000, 1.000000000, 1.000000000,

1.000000000, 1.000000000
Real_Re_part.mw

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## Expanded Rational Fractions (polynomial ...

Hope attached doc gives an expanded answer with 12 RF terms would be an acceptable solution.

Thanks. Ramakrishnan V

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The above  expression  (2) is a simple fraction answer. To expand in separate terms we expand the numerator separately and divide by the denominator.

Expansion of numerator follows.

Division by denominator follows.

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This gives an expanded version of the expression in fractions. 12 terms are there.

## Excel solution...

I attach an excel doc with solution pairs for various x values. y and z value for a given x can be obtained from table or graph.

Hope this is useful

Ramakrishnan Vxyz_values.xlsx

## 2 equns 3 unknowns...

This will have umpteen solutions. Please see attached doc where unapply command used to obtain set of solutions. z vs y and x vs y.

Hope tis ok. Ramakrishnan V

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The plot gives z values for y varying from 77107 to 77108 for values of z from -0.5 to 1.5

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At y:=77107.438;

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Dear Sir,

Hope my document attached herewith would help you programme the way you want with all inputs received as a list X.

Thanks for using.

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## dt is local...

Please find attached my doc where in there is no error on procedure call.I have made dt as local and included the proc inside module.

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=

=

=

=

=

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Hope this is fine with maple.

Ramakrishnan V

## expand and simplify...

Please find attached document . Hope it can give all coefficients of the termscoefficients.mw

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you may want

## It seems very simple idea from Maple poi...

It seems very simple idea from Maple point of view. You wanted an answer for an impossible question.. Integration of the given function is not possible. Integration of Product of inverse of x and inverse of sin(x). not obtainable by any method so far.

When you say substitute in the solution, it substitutes first for x in the denominator (right decision not to substitute for sin(x) because you did not say so!). Now it is simple integration wrt to t. Integration of (1/t) sin-1x dx. After the solution is obtained you should now know that t was substituted for getting the answer. Hence it resubstitutes x for t which was constant so far and t equal to x as per our advise! Note Maple knows both t and x cannot be substituted at once for this very strange problem!!

Maple could not get an answer as an expression here. Hence retains it.

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You have said substitute t for x. It substitutes  for x only strictly as per our order!

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Now again we have given the freedom to substitute for x = t. It quitely returns the t back to x to suit its convenience!.

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OR

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OR

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I have obtained the function in terms of λ1 and λ2 and used in countour plot. It gives approx function for Result in the plot by mouse hovering over it.

## @Kitonum  Ramakrishnan V rukmini_...

Ramakrishnan V

rukmini_ramki@hotmail.com

enclosed doc substitutes but the additional data comes with it.

What could they be. How to suppress them?

Thanks

Ramakrishnan V

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## AutoScroll for White Space...

Since a link was not provided, I assume the problem is to bring the cursor to any position on the screen. As you rightly said, use the vertical scroll on the right side to anywhere you want, not only on the cyurrent page, but on the entire file itself, and left click at the required point. This is the easiest way to process. Enter key is not for this purpose as this would evaluate the codes (or no codes) and go to the next space. It may at times add a line which was not intended.

Vertical with mouse pointer and left click is the simplest solution in my opinion.

Cheers.

Ramakrishnan V

## Where is the 3 come from?...

Dear Sir,

The constant 3 from the integral 3 x2 dx is taken out and then integrated by maple. Then mutipling the answer by 3 would add the constant term also mutiplied by 3.

Hope this is correct.

Thanks.

Ramakrishnan V

## squarebrackets for List is important...

Your codes are correct except that in dsolve command, there are three terms. hence should be in square brackets as these form a list of equations.

i attach the doc as corrected.

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## Solution set...

the two equations are a perfect solution set.

All you need is values of any  3 variables and the remaining variable values will be determined by maple.

The remaining equations are only derived ones and hence redundant and will not help you find the answer in any better way.

Hope I am correct(!).

Cheers.

Ramakrishnan Vset_of_equations.mw

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 > solve( {v=10,s=20}, {u,a});
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 > solve( {v=10,s=20}, {u,t});
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 > solve( {v=10,s=20}, {a,t});
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## Plot range via value...

Please find attached my doc explaining you three ways of plotting what you desired under the conditions x^2+y^2=1

assuming is a maple command with which you can do wonders!

Ramakrishnan V

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