MaplePrimes - Questions and Posts tagged with calculus

Calculus. Use Newton's method in Maple to solve

falturaiki — Thu, 02 May 2013 21:58:38 Z

Can someone please solve only #19 and #25 using Nwton's method in Maple. I really appreciate it.

The questions are attached. Thank you

Calculus Related Rates

karsonhenry — Thu, 02 May 2013 15:25:13 Z

You have been asked to design a one-liter can shaped like a right circular cylinder. What dimensions will use the least material?

-I really need help on how to correctly plug this into my computer. Thank you in advance.

Problem with FunctionChart

bpollina — Fri, 22 Feb 2013 00:26:54 Z

The command

f := -.1*(x+3)*(x-1)*(x-3.5):
Student[Calculus1][FunctionChart](f,x=-4..4,concavity=[],title="",caption="",gridlines);

produces different results in Maple 13 and Maple 16.02.

In particular, the concavity=[] option seems to be ignored in 16.

Also, it may be my imagination, but execution seems slower in 16, but I didn't try timing it.

My apologies, if this has already been noted.

Derivatives and Maple

bconn — Wed, 20 Feb 2013 00:26:19 Z

So far, my math group has the entire roller coaster plotted using spacecurves on a 3D plot on Maple. The only issues is now we need to take the derivative between the different sections we created in order for there to be no corners or spaces; basically to make sure the "coaster" runs smoothly.

We get how to do it on paper but we're running into some difficulty doing it on Maple. My question is, how the heck do we do what I just said we wanted to do.

Can anyone suggest some non-routine class projects for a Calculus II course using Maple?

jheidel@unomaha.edu — Wed, 05 Dec 2012 19:30:35 Z

I'm looking for several challenging projects for a Calculus II course using Maple which I'll be teaching in Spring 2013. By challenging I mean that the project will have several steps including both conceptual and computational aspects. I'd also like them to be suitable for group work if possible. I'd be willing to devote from 3-5 class periods for each of three or four different projects. Our Calc I and Calc II are five hour...

Loading time of Student[Calculus1][FunctionChart].

Jarekkk — Thu, 29 Nov 2012 16:22:23 Z

Can somebody, please, try this command in Maple 16 (or at best Maple 16.02)?

Student[Calculus1][FunctionChart](x*exp(1/x));

In Maple 15 I get the graph in about 1s, however in Maple 16.02 it loads about 20s and it is even not as perfect as is in Maple 15. Furthermore, when I try to evaluate

st:=time(): Student[Calculus1][FunctionChart](x*exp(1/x)); time();

it says that it lasted only 1-2s. There is some problem...

Vectors (Column, Row, Notation, VectorCalulus)

casperyc — Thu, 08 Nov 2012 23:21:40 Z

restart:

with(LinearAlgebra):
with(ArrayTools):

k:=4;
pA:=<seq(p[a,i],i=2..(k+1))>;
pB:=<seq(p[b,i],i=2..(k+1))>;
pA+pB;

with(VectorCalculus):

pA:=<seq(p[a,i],i=2..(k+1))>;
pB:=<seq(p[b,i],i=2..(k+1))>;
pA+pB;

Hi all,

After I loaded the package with(VectorCalculus), the output of vectors changed to a different one.

Is there any real "difference" when...

Teaching Calculus with Maple: A Complete Kit

bryon — Thu, 08 Nov 2012 18:58:57 Z

We have just released Teaching Calculus with Maple: A Complete Kit. Leveraging both Maple and Maple T.A., Teaching Calculus with Maple includes lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, and more – everything you need to teach Calculus 1 and Calculus 2. Teaching Calculus with Maple was developed at the University of Guelph under the leadership of an award-winning teacher and field-tested in classes with hundreds of students.

Remon dream of being a financial engineer

remonrntc — Wed, 31 Oct 2012 02:53:33 Z

Hi, My name is Remon. I am first year student in calculus 1, I want to be a financial engineer, I will study finance and I will do my best to study mathematics as well. I need to learn Calculus with Maple. but I do not really from where should I start? Is there any video training for Calc 1,2, 3 that I can buy to learn ?? If there is any advice to help me out to reach my goals I will be very thanksfull.

caption of RiemannSum

Emrah Akyar — Sun, 07 Oct 2012 19:23:01 Z

Is it possible to change the caption of RiemannSum command in Student[Calculus1] package with animation output option, keeping approximate value and number of partitions outputs? I tried to use typeset command, but I haven’t succeeded.

Best regards,

Emrah

How to find the critical points and local maxima and minima by only using the 1st derivative?

kverbarg — Thu, 20 Sep 2012 11:12:21 Z

Find the derivative of f(x)=|(x^3)-8*(x^2)+5*x+4|-0.5*x;x in [-1,7]

Find critical points of f(x) and dertimine the local maxima and local minima.

Output: Two lists of points (x,y), a list of local minima and a list of local maxima.

Hint: you may use Maple package Student[Calculus1]]

use first derivative test to avoid 'kink' point i.e. undifferentiable point

set delta=0.0001, test derivative around critical point x+delta and x-delta...

Implementing Differential Operator applied to Matrix

rmjg20 — Mon, 09 Jul 2012 12:44:12 Z

Hello,

I am quite new to Maple and require some help on vector calculus. I have a differential operator in matrix form C that has to be applied to a column vector B.

C = [d/dx 0 d/dy]

[0 d/dy d/dx]

and

B = [

How do I get Maple Player to solve my input functions?

Joel Martin — Sun, 24 Jun 2012 10:06:44 Z

I have been unable to get Maple Player to perform as I thought it would.  Actually I can only get it to work with the default functions.  Anytime I type in a function I get the following error message: "There was an error trying to generate the plot." or "There was an error during the differentiation of the input function." or "The input value "x

+4x+2" should be an algebraic expression." or "There was an error during the execution of finding the root."

task curve (tractrix)

kawakib — Sun, 13 May 2012 20:03:53 Z

I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

Find the length of the tangent line from the tangent point to the asymptote
find the area between the curve and its asymptote
find the length of the curve from x-axis to a point on the curve
find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me

kawakib

An Epidemic Model

Robert Israel — Thu, 01 Dec 2011 02:53:15 Z

I've submitted an application to the Application Center: An Epidemic Model (for Influenza or Zombies). This is an interactive Maple document, suitable for instructional use in an undergraduate course in mathematical biology or differential equations, or a calculus course that include differential equations. ...