3. None of the methods listed on the evalf/Int page can handle this integral:

evalf(Int(1/((1-1/4*t^2)*sqrt(1-t^2)*sqrt(1-4*t^2)), t = 0 .. 3/2));

Although it can be done by splitting the integration range into 0..1/2, 1/2..1, 1..3/2.

None of the methods listed on the evalf/Int page can handle this computation:

Splitting is not required, if you change Int to int there is an answer returned  1.587000405-1.261993177*I

try expand then simplify

You forgot to include the variables after local, just add them after local

local T,Tinv,Dg:

also don't forget the semicolon or colon afterwards.

A colon after end proc:  will prevent Maple from mirroring the procedure in an output.

Another alternate

``(A).``(B)=A.B

If you use answer people can vote up (5 points) for your answer if they like it.  Or if you have a good enough question and people like it or favorite it, each is another 5 points.  Using reply to answer, won't allow anyone to vote up your answer.

I'm not sure but it could be font related.  I noticed the language is Danish?  Maybe downloading the Danish font, I don't know.  I loaded your file into Word and Notepad but it was blank - it could be because I don't have the Danish font, maybe someone else could check it out. 

You want to solve for x?

For the first one

eq:=-(2*x+10)+8=4*(-x+1)
                                   eq := -2*x-2 = -4*x+4

solve(eq,{x})
                      {x=3}

You can do the rest.

use quotes around *

withoutstar := StringTools[Remove]("*", convert(a, string))

                                                     withoutstar := "2x-5"

Searching my repository I have surprisingly found the files that are required for this document.
  I have uploaded it.

Instructions on how to install are in the file (the old way packages used to be installed) it used .ind and .lib files.  I'm not sure how that will work with Maple 2017.  

No, your activation code has to be reset, send Maple's customer service team an email at custservice@maplesoft.com and let them know that you need to reinstall on your new computer.

It could be the fonts aren't loaded for those characters.

There seems to be a problem with having a variable a[0] and a.  When you set a[0]=2 the value is 2 but when you assign a:=0.5 your value of a[0] becomes 2_o which I think is causing the problems

Change your variable a[0] a different variable, say c and it should work out.

a:=7/2
                                   7/2

print(cat(a-frac(a), "-", frac(a)))  # output display as a mixed fraction
                                                    3 - 1/2

merge:=proc(list1,list2)
  map(op,[list1,list2])
end proc:

a:=[2,3,4]
b:=[g,h,t]

merge(a,b)

    [2,3,4,g,h,t]

Also I've noticed for while, the last line cursor is slightly hidden, but I've generally just ignored that issue.

As to your issue, you could minimize the maple window to the top half of your monitor screen and then the bottom of the Maple content in the window will always be in the middle of your screen.  I don't think there's a default process to bring the cursor to eye level. 

I think I see what you're getting at .. I don't tend to find this an issue.