MaplePrimes Questions

Find \lim_{n \to \infty}(\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+\dots+\frac{1}{n+n})

A travel agency is planning a one-week trip to Italy that has an initial cost of $2,000 plus $1,140 per person. At a price of $1,400, 13 people will sign up. Past experience suggests that for each $20 decrease in the price, an additional person will sign up. Also, for each $20 increase in the price, one less person will sign up. What price (in intervals of $20) will maximize the profit? (Make a table and guess and check.)

I don't get how to solve this problem...

Find \lim_{n\to\infty}{\frac{\sqrt[n]{n!}}{n}}

In a pocket, we have 5 balls number from 1 to

Hello all,

 

I want to plot shapes, like circles, lines or elipses, and to shade some areas, for example, let's say I have an inequality, indicating a domain of all points above a line, or inside a circle, outside an elipse, and I want, for demonstaration for studetns, to shade with dashed lines or color these areas, how do I do that ?

 

Thanks !

I am using the ExportMatrix command to save matrices to .txt files. Is there a way to use a variable to automatically create the text file name?

 

For example (I know this doesn't work):

In maple 17, 

 

solve({b-a*sqrt(1+a^2+b^2)=a^2*(a*b-sqrt(1+a^2+b^2)), a-b*sqrt(1+a^2+b^2)=b^2*(a*b-sqrt(1+a^2+b^2))});

 

outputs

a=a , b = -a/(1+a)

 

If you set a =1  and b = -1/2 you will see this is not a correct solution.

 

 

Good afternoon sir,

 

I am M.Anand working for SRIIT, as Assistant Professor in Mathematics.

I request you to provide me the correct Maple commands to generate large matrices whose elements are defined in terms of i & j in piecewise function pattern for example

 

How to generate the matrix A where the elements a(i,j) are defined as

a(i,j)=2i    when j=i   and i=1,2,...,80

a(i,j)=0.5i  when j=i+2 and i=1,2,...,78...

Hello,

 

Maple_-_Upload.mw

See the upload for my worksheet.

 

When opened: Combine the first picture with the second picture and you will get the third picture, where the green filled box is a 'safe zone'. Now what I want is to find the intersection between the green line (=0.7) and the red line (the curve), which gave me two answers, as I wanted! No problem at all.

 

Now when the fourth picture is combined with the fifth picture this results in the sixth picture. So again I tried to find the intersection between the two lines (this time the green line with the blue line; I just name it to be sure that the idea is clear). But this time Maple doesn't give me the points of intersections. How come? I think it has something to do with the procedures, but I can't figure out what it exactly is.

 

I hope someone can help me out on this.

 

Thanks,

Frank

 

Find all prime numbers from 1 to 300.

I have a monomial in 8 letters j_0, j_1, j_3, j_4, j_6, j_10, j_11, j_15 with corresponding exponents b_0, b_1, b_3, b_4, b_6, b_10, b_11, b_15. I would like Maple to calculate 0*b_0 + 1*b_1 +3*b_3 +...15*b_15. I know indets returns a list of the variables, but I am not sure how to pull off the indices and exponents? Thank you very much for the help!

In a box we have 6 cards number 1,1,1,2,2 and

Let F(x)=f(g(x)), f(-1)=8 , f'(-2)=4 , f'(5)=3 , g(5)=-2 , g'(5)=6. Find F'(5) ?

Hi,

How would I ask Maple to display a expression and then evaluate it?

For example

Diff(5,x)=value(Diff(5,x));

or

Diff(5,x)=diff(5,x);

But do I really have to copy the lhs to do rhs every time?

Any simpler way?

 

PS: I am using 1-D input and I'd like to keep it that way.

Hi.
I am trying to use a new Physics:-Library:-SortProducts command. However it doesn't work in my case.

restart; 
with(Physics);
with(Library);
Setup(mathematicalnotation = true);
Physics:-Setup(anticommutativeprefix = psi);

for i to 4 do
ap[i] := Creation(psi, i, notation = explicit);
am[i] := Annihilation(psi, i, notation = explicit)
end do;

z := A*ap[2].am[2].ap[1].am[1]+B*ap[1].am[1].ap[2].am[2]+C*ap[3].am[3].ap[4].am[4]:
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