Hi Folks, I have to believe this is an easy one, but it stumped me anyway. I'm trying to plot an ideal binary VLE curve for two components, and I have equations that describe both my x term and my y term as a function of temperature and pressure. Using the normal plot command, I can get x and y vs. T (if I specify pressure), but how do I get x vs. y (specifying pressure) and either plot T on a second Y axis or ignore it. Thanks in advance. I have my simple worksheet available... Fred Vie

Can someone help me to analytically show that the following series is divergent. sum(ln(1+(1/n)), n = 1..infinity) thanks, respectfully

My class is doing a study in fractals and I have written a program to plot Koch's Triangle for as many iterations as I like. However I am now trying to plot variations of the triangle to build different fractals and I am having problems getting all of the sides to plot properly. I want the picture to look like the 2nd iteration to look like the picture here. Basically an equilateral triangle with equilateral triangles with sides of half the length of the previous iteration. How do I do this 

I have a few questions I am not sure on how to solve for my Math 141 lab....

1)Let f(x)=ax^2+bx+c if x<=50
dx+8 if x>50.

Find Constants{a,b,c,d} such that f(x) is continuous.
f(x) is differentiable.
f(x) has a local extremum of 100 at x=40.


2) Find the equation of the tangent line to the curve y^3+yx^2-3y^2=0 at the point 3,0.

3)Let f(x) = x^3cos(pi*x) find f30(4);

Any help with this question will be much appreciated. I have a set with 15 elements and i have broke them down into all the possible subsets using the powerset function. I have also assigned the elements to a vector. I want to sum all the elements of each subset. ie The set {a,b,c,d} has all the subsets {{},{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c}} with these assignments let us say a:=[1,0,0], b:=[0,1,0], c:=[0,0,1] I want results such that i have a, [1,0,0] b, [0,1,0] c, [0,0,1] a+b, [1,1,0] a+c, [1,0,1] b+c, [0,1,1] a+b+c, [1,1,1] Is there any way to write a Maple function to carry this out?

Please help with these additional questions. (1) The covariant components of a second order tensor with respect to the basis e[1]=i[1]+i[2], e[2]=i[2]+i[3],e[3]=i[1]+i[3] are given by (a[ij]) = array([[2,0,1],[-1,2,0],[0,2,-1]]) Find the components a^ij, a[i]^k, a[k]^i

Hi, I was wondering if there is a way to define GF variables in Maple. If I am working in GF(2^7) for example with a specific irreducible polynomial, how do I find the result of (y-2)*(y-4)*(y-8)*(y-16) in the same field, where y is a variable of this field and all the numbers 2, 4, 8, and 16 represent polynomials (for ex: 4 = 0000100)? Is there a way to define a GF variable in maple? I couldn't find it under the existing GF package and I don't want to do the multiplications one by one, if there is a way to avoid it? Thanks, Kahraman

I had a few questions that I need help with: 1) I'm trying to write a procedure to solve a system of equations. To be specific, we are given 2 n x n matrices, say A and B by the user. We have two generic vectors in R^n, write them as x = [x1, x2, ..., xn] and y = [y1, y2, .., yn]. I want to solve for each of the yi's in terms of x'js for the equation A.x = B.y - how would I go about doing this? 2) So I get some answer to 1), say something like y = [x1-x3, x1+x2-x4, x1+x2, x3+x4] (n=4 for ease) . How could I easily take the coefficient matrix of the transpose of this vector? So, my final matrix would look like:

I know the general idea of the Sierpenski's Carpet I was just wondering if there was a way to make Maple produce this plot? any help would be greatly appreciated

I have two questions: 1. How do I solve the following? 4sin^2 x + 2cos^2 x = 3 ~also~ 2. How can I find the exact value of the following when Sinu= 3/5: sin(u/2), cos(u/2), and tan(u/2)

Hello! I made a maplet with the MapletBuilder for displaying a worldmap or - if requested - a globe with locations of earthquakes in a selected period of time. Before that I programmed a maple worksheet to this subject. The maplet is build like this: First there is a Plotter-Window followed by two Radiobuttons for choosing between two different graphic renditions (2D and 3D). For choosing a period of time I used DropDownBoxes. The starting date and finish date consist of 3 Boxes each to choose month, day and year separately. To confirm the dates and to plot the relevant map there's a ClickButton.

I want to solve for the intersecting curve between two surfaces. The figure demonstrates what I mean in a plot, I'm interested in the curve between the red and the blue areas. (The surfaces are seen from above.) Ideally, I would just ask Maple to 'solve(surface1>surface2)', where the surfaces would depend on some parameters. This do, however, not work. (The functions (surfaces) has up to 7 input parameters, and combines heavyside functions and the max function.) I'm sure there is a way, though. Given my ignorance, I'm now pursuing to 'estimate' the curve, by somehow reading off the intersection numerically and using some regression or whatever. Any idea how to do this efficiently?

if you think you can help me out... let me know.. im in calc 1 and i have lots of questions and some stuff i wanna make sure i got right! id really super duper appreciate it! :) sascha!

hello, i have some problems with maple. i need to know an inflexionpoint of the following function: f:= x->((x^3-x+1+(6/30))/(x^2-1)); i derivate till f'''(x) with the following commands dv1: D(f)(x); dv2: (D@@2)(f)(x); dv3: (D@@3)(f)(x); and here starts my problems. maple seems to do nothing. for dervation f'(x) and f''(x) it shows me nothing for derivation f'''(x) just a 0. i suppose the mistake is in front of the computer :O. so what is wrong? here my exact commands: restart; f:= x->((x^3-x+1+(6/30))/(x^2-1)); df1:= D(f)(x): df2:= (D@@2)(f)(x): df3:= (D@@3)(f)(x):

Hi I have constructed a do loop to represent an epidemic described by 3 equations. I have plotted these using the initial conditions given. If i want to identify the values of S[k], I[k] and R[k] at k=60 how do i enter this? And how do i find out the exact point where the epidemic reaches its peak?