How do I define a function on different intervals? For example, how to define y(x): y(x) = f(x) for x=a..b g(x) for x=b..c Hope anyone can help

Using maple 10, when I store say a 15 x 1 matrix I get the placeholder (1..15 Vector[column], Datatype=anything....) When I close the document and open it back up, all af the data I typed in is gone. What's up with this?

I am trying to gain some experience in maple coding, frankly I'm terrible so a tutor has kindly set me some tasks. He wants me to write a procedure for solving any tridiagonal system of equations. Here is his brief: Write a procedure to solve a given tridiagonal system of equations. Use lists to input the coefficients and do NOT use matrices and/or Maple arrays. The procedure can then be called at every time step. This will also be more involved. After a bit of research I know this is the starting matrix: b1x1 + c1x2 = d1 a2x1 + b2x2 + c2x3 = d2

I am trying to find a easy way to use analytic functions with matrices. For example A:= 2x2 matrix (that is diagonalizable) then cos (A) = P L P^1 where P is the matrix made of the eigen vectors and L is the matrix of eigen values along the main diagonal. While I can work these problems by figuring the parts (P L P^1) I would prefer to find a way to be able to just write cos(A). I figure there is a syntax that I am failing to use properly to use this function with a matrix input. Any help would be appreciated.

I am trying to find a easy way to use analytic functions with matrices. For example A:= 2x2 matrix (that is diagonalizable) then cos (A) = P L P^1 where P is the matrix made of the eigen vectors and L is the matrix of eigen values along the main diagonal. While I can work these problems by figuring the parts (P L P^1) I would prefer to find a way to be able to just write cos(A). I figure there is a syntax that I am failing to use properly to use this function with a matrix input. Any help would be appreciated.

find the small x series which approximates

(tan(x)log(1+x))/X

by plotting the function and the series approximations investigate how accurate this approximation is over the range 0<x< Pi/2 when different numbers are included in the series

i have no clue where to start can anyone help me please???

hey i have the equation y=3X^4+2X^3-15X^2+13X+3 I need to find the (x,y) values of the maximum and minimum points to 3sf. im not too good with computers can anyone help me

x=3/2 y-1/2 Three over two times y minus one over two for the previous question.

This is surely the equivalent of using an elephant gun to go after an ant but in any case. Could someone tell me how to sub in four values for y, -2,0,1.5 and 3, one at a time in this equation: 3 1 x = - y - - 2 2 I am only using document mode but can not figure out how to automate this type of problem. I am able to manually sub in the value but I am too lazy to do all that work. Also is there any way to show the steps of the solution and not just pop out the answer?

I need to sketch a graph of a sail and indicate the location of the center of pressure. I'm semi new to maple, so if you could explain step by step, that would help me. Points (0,0),(2,1),(0,5) The lines would be y=-2x+5, y=0, & y=x/2 How do I get all three of them into one graph and only from ththe points? Also, how do I indicate the center of pressure which is (31/12,7/12) ? Thanks, Jerry

How do I graph the first 30 minutes of this problem? T = 32+127*exp(-.3456*30) Also, when this is graphed, it is supposed to show a horizontal asymptote.

Hi All In M11 you do the following; _EnvAllSolutions := true: _EnvExplicit := true: solve([sin(x)*cos(x)=0,x>0,x

I can't seem to figure out how to plot the following in polar form. Can you help please. I'm semi new, so not to fast please. -9/(4*r^2+36)

A poster on the usenet group comp.soft-sys.math.maple asked how to do the following more simply:

A:={ { [1,2],[3,4] } , { [5,6],[7,8] } }:
map(x->map(y->map(f,y),x),A);

       {{[f(1), f(2)], [f(3), f(4)]}, {[f(5), f(6)], [f(7), f(8)]}}

As has been discussed here recently, this can be readily done using evalindets. For example,

evalindets(A, list, integer, f);
       {{[f(3), f(4)], [f(1), f(2)]}, {[f(5), f(6)], [f(7), f(8)]}}

I am trying to populate a matrix using a nested for..from loop. The Maple statments below only populate the first column; any suggestions? > for i to 45 do for j from 0 by 5 to 45 > do A[i, j+1] := evalf(EllipticF(sin(i*deg2rad), sin(j))); > end do; > end do; Thank you for the assistance.