MaplePrimes Questions

having trouble with maple commands

for the following :

a) horizontal asymptote? i think we use this command

Limits(f(x), x=+infinity)

Limits(f(x), x=-infinity)

(b) V.asymptote?

dunt know what command to use for this

(c)  finding max values?

i think we use this command

maximum(f(x), x=a..b)

(d) Points of inflection

I don't know which maple command to use for this

Give all numerical answers to 4 decimal places

(1)

The following file contains a student's midterm exam answers (with name and student number x'd out). When I try to load it, I get "There were problems during the loading process. Your worksheet may be incomplete", and only a small part of the file appears. Using text editors, I can see that there is much more to the file. Is there any way to recover this exam?

I have a procedure which gives symbolic output of the form a/b + c/(d*Pi) where a, b, c, d are integers.  For example, 401/2 - 1880/(3Pi).  Given this expression, what are the Maple commands I can use to pull out the four integer values and assign them to other variables?  (In the example, 401, 2, -1880, and 3.)  Note that this is not a calculation problem, it is a pattern matching/string manipulation problem.

Hi:

   I wonder how can I constrain the definition of a procedure so that it either takes a polynomial or a list or set of polynomials as input arguments?

is there anything in Maple like

a:= proc(p::polynom or set[polynom])

....

end proc:

Thanks,

Peter

1. y=4x-x+2x

2.y=(x-2x)(x+5x+3)

3.y=2x-5x/x+2

4.y=(x/x-1)

5.y=xsqrt 5x-1

6.y=x-sqrt x/(x+3)

 

Help!! I have a few questions that I need help with. 1. How do I find dy/dx of a point that I found in a previous problem? 2. Given a function f(x)=(2*x-1)*sin(pi x/2): a. How do I find the value of f ' (3)? b. How do I find the point on the graph of the function that has an x coordinate of 3. c. How do I find an equation for the line tangent to the graph at the point found in part b? I'm stuck and need some assistance, please. Gino

There has to be an 'easy' way to solve this problem in Maple, but right now I am drawing a blank!  Given a sequence of random (but distinct) integers in a list, find the both the longest increasing and descreasing subsequences; finding the sequence of indices into the origninal sequence is probably the "best" answer.  My T.A.

I solve 100 differential equations to get the numerical solutions for specific independent variable x=1, how to plot those 100 points?

Hello,

I am wondering if anyone knows why Maple gives different results calling this directly and applying the definition.  For example:

 

int(1/(4*sin(x)-3*cos(x)), x = -(1/2)*Pi .. (1/2)*Pi, 'CauchyPrincipalValue')

-(2/5)*ln(2)

 

vs.

 

 

limit(Int(1/(4*sin(x)-3*cos(x)), x = -(1/2)*Pi .. arctan(3/4)-e)+Int(1/(4*sin(x)-3*cos(x)), x = arctan(3/4)+e .. (1/2)*Pi), e = 0, right)

-(2/5)*ln(2)-(1/5*I)*Pi

 

hey, does anyone know if I am using the solver and would like to make sure that all my outcomes are positive real number, is there a way to put in a constraint? thanks

I'm a new user, and here is what puzzled me.

The system of two linear equations are solved below.  Great!

Hi, Could anybody help me with the command that can check group multiplication of permutations in Maple? For instance, alpha=(1234)(56) and beta=(125)(36) So, alpha*beta=(135264) or beta*alpha=(153426) Not sure how to check it in Maple. thanx a lot. antonio

I've made this proc to solve the absolute orientation problem, but I'm not sure if its correct...

I've got two sets of points, one called 'Actual' and one called 'Ideal'. Each set has n points.
I want to find rotation matrix R and translation matrix t which I can apply to the points in Actual so that the mean squared error, e, between the points in Actual and Ideal would be minimum.
e = 1/n (Summation from i = 1 to n) ||Ideal[i] - R.Actual[i]||^2


centroid := proc(l::list)
> local i,Centroid;

For which value of c is the area between f(x) and g(x) minimal?  f(x) and g(x) are both continuous   ( in the interval [0,1] )        

> g := x-> piecewise(0<=x and x<=c, m1*x+b1, c<x and x<=1, m2*x+b2);

f := x-> x^3;

 

 

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