## Use interpolation to find missing data in my table...

I have a table of data that displays salaries for different jobs and how they have changed over the years. I figure that interpolation would be the best way to fill in the blanks, but im not sure of the correct syntax to accomplish this in maple, I tried using splines but i just couldnt find a suitable example in the help documentation. ``` YEAR| 1975| 1980| 1985| 1990| 1995 ---------------------------------- job1| 7843|11314| ??? |17820|21431 ---------------------------------- job2| 8388|12409| ??? |20694|28362 ---------------------------------- job3|12332|18075| ??? |31112|36980 ```

## Resetting the function...

My questions are formuled in the worksheet. Again sorry for my terrible English. Greetz Pieter Download 2714_Problems.mws
View file details Edit: I have 2 implicit deffined functions. How can I calculate their intersections?

## how to simplify arctan(sin(x)/cos(x)) ?...

Hi, Is there some way to get maple to replace "arctan(sin(theta)/cos(theta))" with theta? I know that it doesn't always equal theta :-) but I'm switching to and fro and to and fro, between cartesian and polar coordinates and... As a consenting adult, I'd like maple to trust me to be able to keep track of things myself. I tried "assume(theta > 0, theta less than Pi/2)" and that didn't help. (Note: I really used the "less than" symbol but for some reason this post gets cut off by that symbol so I wrote it out...) I also tried "convert(arctan(sin(theta)/cos(theta)),trig)" and "simplify(arctan(sin(theta)/cos(theta)),trig)".

## Save a worksheet session...

I have a large system of equations that takes a good hour to solve. Each time I save and reopen the worksheet there is another lengthy recalculation on execution after which other operations are carried out. I know how to save individual variables for reuse but what I would like to do is save the session so that the I can pick up from where I left off. Is this possible?

## Nested Verification

Maple

Nested verification can be done in Maple using the following command,

```VerifyTools:-AddVerification('nested'=proc(x,y,ver::verification)
if whattype(x)=whattype(y) then
if x::Vector then verify(x,y,'Vector'('nested'(args[3..-1])))
elif x::Matrix then verify(x,y,'Matrix'('nested'(args[3..-1])))
elif x::Array then verify(x,y,'Array'('nested'(args[3..-1])))
elif x::array then verify(x,y,'array'('nested'(args[3..-1])))
elif x::set then verify(x,y,'set'('nested'(args[3..-1])))
elif x::list then verify(x,y,'list'('nested'(args[3..-1])))
elif x::relation then verify(x,y,'relation'('nested'(args[3..-1])))
elif x::range then verify(x,y,'range'('nested'(args[3..-1])))
else verify(x,y,args[3..-1]) fi
else verify(x,y,args[3..-1])
fi end);```

## Testing objects for equivalence

by: Maple

UPDATE!!! I found that my blogpost appers in Maple reporter. You should know, that this blogpost was just a question about how to solve my problem better. Alec Mihailovs gave me and aswer and his solution of testing nested objects is much better. If you still want to use my piece of code, you should remove "set object" form "convertAMVStolist" procedure and replace all occurrences of "hastype" with "type" (as mentioned in comments below).

This piece of code should be able to test two objects (not of every type) for equivalence (like testeq() does). The benefit is, that it should be able to test also nested objects. Is there any other and more simple way how to do that? How to test nested objects in sets?

## How can I verify the equality of two more complica...

Hello, can you help me with my problem? If I want to verify two objects like this > a:=exp(I*x)=0; > b:=cos(x)+I*sin(x)=0; I can use the command > verify(a, b, 'relation(testeq)'); But how can I verify equality of more complicated objects, for example > a:={exp(I*x)=0, x^2-x}; > b:={cos(x)+I*sin(x)=0, x*(x-1)}; The command > verify(a, b, 'set(testeq)'); is (of course) not enough. Is there a way how to do it? How to compare the objects recursively? Mayby the solution is to write my owv verification object, but I don't know how to do it. Is it possible to define a procedure and use it in such way?

## Transforming Equation Topic...

Hi All, Firstly, I tried doing a search on the forums but couldn't find the answer, so my apologies if this has been covered before. All right here it goes... say i've got the following eqn: A = Bx^2 + Cx + D and I want to make B the topic of the equation. How would I do it in Maple? Please note that I'm completely new to Maple, and I'm aware that the above equation isn't the proper syntax. Thanks in advance for your help... cheers! Ganesh

## How do I get this double integral with MAPLE?...

Please, could anybody help me with this integral, where y is higher than 0? Int(Int(1/((1+y*(cos(x)+cos(z)))^(1/2)),x = 0 .. pi),z = 0 .. pi); Thank you a lot for help. D. Reyes CBPF-Brazil.

## call to Eigenvectors never returns...

Hi,
I'm trying to use Eigenvectors on a 7x7 matrix (in maple8 on linux). The process
never returns and its size continually grows (>200 MB before I kill the process).
I am new to maple, but have successfully used Eigenvectors on a different (sparser)
7x7 matrix. I'm assuming that either a general 7x7 matrix is too hard for
maple to solve analytically, or something about the degeneracy of my matrix is
causing problems? btw, Nullspace works fine on the matrix. Any help would be
appreciated. I added the assumptions hoping that would simplify the solution,
but it doesn't seem to make any difference. Below is the code.

## Assign a symbolic solution in a vector to a variab...

I have a vector containing a variable >vec1; var1 I have another vector containing a symbolic solution. >vec2; a + b + c I wish to assign a + b +c to var1 so that >var1; a + b_+ c How do I do that? All of my usual methods seem to come unstuck.

## Page number not printing...

Hello, I'm working on a document and I decided to print it out to do some editing. I have enabled page numbers, and when I do a print preview I see the page numbers at the bottom of the all of the pages. But when I print out the file, the page number appears at the bottom of the first page but not on any of the next pages. This happens both when I print it to our office printer and when I print it to a PDF file. Any suggestions?

## Two Maplet questions...

1) How do I view the source code of, say, ``` (Student[Calculus1][AntiderivativeTutor])(); ``` 2) I'm using a Maplet where a student will enter an expression into a MathMLEditor. I then want to compare this expression to one that the computer has already generated, to see if they can identify the inside function in a composite function, for instance. Once they enter their expression into the Editor, I use a Get command to extract it, and MathML[Import] to turn it into Maple expression to compare it with the computer-generated one. This works fine with functions like 1/x^9 (which you can type in easily into the editor), but really causes problems with ln(x) or sin(x). If you type in "sin(x)" into the Editor, MathML[Import] will interpret that as