How could develop the following in Maple:

1) Solve the series using the alternating series method:
12  6 + 3  1.5...
I know the answer is 8 because it is in the back of my calculus textbook...I just don't know how it is 8.
2) Solve the series: ((2/k)  (2/k+3)) where k = 1 to infinity.
I know the answer is 11/3...I just don't know how to get there.
My question is this:
In with(DifferentialGeometry): with(JetCalculus) with(Physics):
I work with the following Jet Bundle:
DGsetup([x], [u, psi], E, 40),
where psi is declared anticommuting with Setup(anticommutativeprefix={psi}).
When I work with expressions that are differential polynomials in u with coefficients arbitrary functions of u, the EulerLagrange operator behaves correctly. The same is true if I multiply these expressions by psi or by psi_1 ...
Could the Student:Calculus1:Hint routine detect that its answer(s) will result in an endless cycle (even if only cycles of length 2)? Maybe it could check, and not make such hints?
Below is just one example. Sure, its hint is not great here, due to which this is not a fantastic example. But I'm still wondering about cycling prevention for Rule&Hint in general.
This is Maple 13.01.
> restart:
> with(Student:Calculus1):
> Int((x^2+a...
Im using maple 13
I always encounter an error everytime i use the feature ShowSolution
the error says:
"Error, (in Student:Calculus1:ShowSolution) input expression does not have any incomplete calculus operations"
This always happens in all the calculations.
How should I use the ShowSolution properly?
how can i understand calculus own my own. and i'm a lazy student.
January 11 2010
mdc 228
Is there a way to find out what packages (i.e. statistics, or calculus, etc.) that are in my Maple installation?
I bought a student version of Maple, now I need to use Statistics (with (Statistics): ) but don't really know If I have Statistics package installed or not. Thanks
January 11 2010
mdc 228
Is there a way to find out what packages (i.e. statistics, or calculus, etc.) that are in my Maple installation?
I bought a student version of Maple, now I need to use Statistics (with (Statistics): ) but don't really know If I have Statistics package installed or not. Thanks
I am attempting to get MAPLE to generate indefinite integrals that are of the form:
exp(k[r^2a^2*cos(x)]^0.5)
from fundamental calculus principles I might set u = [r^2a^2*cos(x)]^0.5 which then should yield du/dx = 1/2*(a*sin(x)/[r^2a^2*cos(x)]^0.5).
Then if my math is correct the result should end up:
2*(r^2a^2*cos(x)]^0.5)*exp(k[r^2a^2*cos(x)]^0.5)/[k*a*sin(x)]
This blog will contain postings documenting some of my mathematical travels. In particular it will chronicle my experiences and problems in learning maple and the mathematics I am studying along the way.
Hi,
I,m totally new to maple and am trying this as a tool to help me with my calculus class. I'm trying to figure out how to create a plot from a table of x and y values, but I'm not having a lot of luck.
The goal would be to plot a Riemann sum once I have created the plot. If anybody can point me in the right direction that would be great.
Thanks,
Mark
As many of the users on MaplePrimes are instructors, I thought it appropriate to let everyone know about a new resource available on the Maplesoft web site called the Teacher Resource Center.
Hello,
when using Maple to do simple calculus I usually have to explicitly
state the dependence of each variable in the expression....for example
c*(1cos(x[1](t)))+x[2](t)^2/2
is there a way to declare generic functions of a dependent variable
say
x1 = x1(t) or x2 = x2(x,y,z)
and avoid having to do it repeatedly in an expression? I know i can use subs to replace patterns, but can you declare somthing like f(x,y,z,t) without giving the details?
Thank you
October 13 2009
djc 546
I seems that Maple doesn't know anything about the convexity of functions.
It would be nice to have a command to check the convexity of (real) functions in Maple, also Maple should have knowledge on the convexity of known functions: for example: constant function, linear function , abs, sin (convex on a specific region) etc.
To deal with the calculus of convex functions: for example Maple should know such theorems: if f(x) and g(x) are convex functions and g(x) is nondecreasing then g(f(x)) is convex, etc.
I just want to reiterate how dynamic programming problems can be solved in Maple.
Especially dynamic programming models that frequently appears in economic models.
First of all it is important to note that is close to impossible to find an easy to understand
and stepbystep road maps to dynamic programming. Why is that ?! The below Maple
code was basically "discovered" by trial and error and pure stubbornness (caveman 101).