Thanks

I chanced at start at options the Output display to Maple input,that's the culprit

its my own fault..forget that i did this

Well,it is solved now 

betounes_ex_set_task_4def.mw

Download betounes_ex_set_task_4def.mw

@janhardo 

exercise set 2-task2

So, the fo  rmula for the [i,j] element is i^j , as i goes from 1 to 3 and j goes from 1 to 4. (Realizing this is likely one of the purposes of the execise.)

Download doubleloop.mw

But look at these:

Array(1..3,1..4,(i,j)->i^j);

               [1  1  1   1 ]
               [2  4  8   16]
               [3  9  27  81]

A := Array(1..2,1..4):
for i from 1 to 2 do
  for j from 1 to 4 do
    A[i,j] := i^j;
  end do;
end do:
A;

               [1  1  1  1 ]
               [2  4  8  16]

Array(1..2,1..4,(i,j)->i^j);

               [1  1  1  1 ]
               [2  4  8  16]

@acer 

As you wrote :

@janhardo No, it's not a lot more work. Look, the same approach can be done as in the earlier attachment you gave, CD2-5.MWS. The loops are merged together, as I mentioned could be done.

Is there a benefit to make from one array do loop a two nested do loop ?

G := Array(1..6, 1..3):
P := Array(1..6):
for i from 1 to 6 do
  G[i, 1] := L[i];
  G[i, 2] := df(G[i, 1]);
  G[i, 3] := f(G[i,1])+G[i, 2]*(x-G[i,1]);
  P[i] := plot(G[i,3], x=G[i,1]-1..G[i,1]+1, colour=red);
end do:
-----------------------------------------------

This one does do  the same 

B := Array(1..6,1..3):
for i from 1 to 6 do
  for j from 1 to 3 do
  B[i, 1] := L[i];
  B[i, 2] := df(G[i, 1]);
  B[i, 3] := f(G[i,1])+G[i, 2]*(x-G[i,1]); 
  end do;
end do:
 

@acer 

Thanks!

Now i do see something similar code as in the book, thought first that absence of a regularity in the x-values of f was the problem, but now using a list for random x 

It is better for developing programming skill to use those loops?  
 

"The loops are merged together, as I mentioned could be done."   .... i must look at this ?..ah yes that was the earlier answered task by you  to use a nested do loop for a two-dimensional array

That i think also the intention of the task to use nested do loops , but i can be also be done with a a single loop, if i am i correct.

@acer 

Is it not possible to use a 6x2 array for storing the inflection points and y'

The inflection points  for function f are called by: (calculated earlier by you )
Q := map(p->[p,f(p)], Inflpts);

Question :  those  < >  ?

G[1..6, 1] := <Student:-Calculus1:-Roots(ddf(x), x=0..16, numeric)>;

----------------------------------------------------------

Note : The length of the tangentlines must be on a interval  ( see task ) :  

@acer 

Thanks

Interesting you have worked out the task now with array..could try this approach in my task 

It is a lot of work you did opposite the bookexample code  
But in the bookexample it is drawing tangentlines randomly chosen at  x= 0.5,.1.5,2.5,..,5.5 (regularity)  and x=0.5+(i-1) to fill

with a loop the x-values in a array. 

In the task ex set 2-task 3 there are x -values without regularity , so no general formulae to find for using in a do loop 

I learned a lot now.

There is a lot to study for this introduction programming...MCtoc.mws

@tomleslie 

Thanks

Now  you drawed the tangentlines in the 6 infliction points of  the graph by a procedure.

Not all is clear for me in the procedure how set this up by you, but that's way i try to learnn programming from the book.

I thought in English language that inflection points also included mins and maxs of a function

That's way i started with a first derative of the function

Next time i give a screenshot of the question of the task , so there will be no room for errors 

@acer 

Thanks

Its all about using in the :  exercise set 2-task 3..  array's and how to come up with them (invent) and to get used of them   
In the book the use is widespread 

Your approach of the task 3 is a different one then is  done in book. 
That is the problem here: i don't have the answers from the author in Maple from the book and try to follow the book    CD2-5.MWS

Note: in enclosed worksheet the tangentlines in maxs or mins of function are not 0 (horizontal) in the  plot :  y' = 0 , strnge that this is not done in the example  -> no it was done for a serie of x-values ( not for x where f '=0 ), so its correct the positions of the tangentline

@acer 

I am following the book where are array used  and not vector or matrix ( it s not vector calculus or matrix calculus what's written in book at the moment ) 

The array is used to store different type of data (types) in Maple : set of points, a equation, a plot  like that.
The next time i upload a worksheet with array questions 

@janhardo 

It is difficult to fill the arrays with the right content ..the reasoning
 

Download betounes_ex_set2_task_3.mw

@acer 

Thanks

Its primarily for Maple programming and doing recreational math. 
Basic calculus i know something : function of two variables , double integrals and some more 

But i am a B ed in math focussed on teaching a not a bachelor or master in math who do have stronger math knowledge/skills 

Indeed i gave y' at the start of the thread, because i thought that inflection points also were mins and maxs y-values in the english language for y

@janhardo 

For finding real roots there was also another command used: it can be added to the list 

RootFinding:-Analytic(diff(fprime_expr,x,x)=0, re=0..10, im=-1..1);

Thanks

Nice work

Ah i do see the use now of the fsolve command: 

The enclosed example uses array, because they are versatile for programming to use as it seems  

The bookexample draws a tangentline on mins and maxs of y, while this task is for the infliction points of y 

Thanks

Peter Stone i knew already