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Last month, we received a very kind note from a recipient of one of our sponsorships. Maplesoft sponsors several academic and commercial events throughout the year, providing free copies of Maple or MapleSim to lucky attendees. Audrey was one of the winners of the Elgin Community College Calculus Contest, where she won a copy of Maple. Here’s what she had to say:

Thank you so much for the Maple license.  I have become familiar with Maple during the last school year.  At first the commands were like Chinese to me and I had a rough time getting anything done, but once I made a connection between the commands and what they were doing it was a lot easier.  Even without former knowledge of computer programing, the commands are increasingly intuitive.  Maple has been a huge help to me doing my homework and projects, and even as I was studying for the competition it was useful for checking my answers.  Another reason that I love Maple is that it provides visuals for the difficult concepts we learned in class, such as shell method in Calc II and mixed partial derivatives in Calc III.  I enjoy math, but I thank that Maple has enriched my experience along the way.

Thank you again for your generous gift, 

~Audrey~

It’s always nice to hear how students and professionals alike are succeeding with the help of Maple. If you’d like to share your experience, please send an email to customerservice@maplesoft.com or post it here on MaplePrimes.

In a local coordivates frame {B}, an arc whith center "coc" ,radius "radius" and angle between “alpha1” and “alpha2” can be plotted in XY plane of {B}. The coord {B} is in a Ref frame {O}. The homogeneous transformation matrix is “H”. How can I plot this arc in coordinate {O}?

Derive the orbit of the Moon around the Earth by doing a Verlet algorith of Molecular Dynamics simulation. Use one hour for your step τ. Place the stationary Earth at the origin of the Cartesian system. For initial conditions, use the position and the speed of the Moon when it is at its apogee (furthest from Earth). Plot the orbit.

(a) Show that if {an} ∞ n=1 is Cauchy then {a 2 n} ∞ n=1 is also Cauchy. (b) Give an example of a Cauchy sequence {a 2 n} ∞ n=1 such that {an} ∞ n=1 is not Cauchy

Hi EveryOne!

In the the answer of the question "How to find k^th root of the given matrix over finite field (at URL: http://www.mapleprimes.com/questions/203997-How-To-Find-Kth-Root-Of-The-Given-Matrix#comment215683). Carl Love helped to find k^th root of the given matrix M over GF(2m)/f(x).

Now, I need to compute direct exponentiation of the given matrix M in finite field. (If M = [mi,j], we say Direct Exponent (element-wise exponent matrix), Mdk of M is a matrix whose each element is the result of exponentiation of corresponding elements of M. If k=2, then we say Md2 is a direct square matrix of M )

Please help me!!! Thank you very much.

Determine wether the sequence below converges or diverges, and if it converges, find the limit.

{n^(1/n)}  

and,

{exp^n/n^4}

Thanks

PLEASE HELP ME. I NEED HELP REALLY BAD.

Restrict calculation to real numbers.

Using y' = u, express the oscillator equation: y" + 3y' + 2y = cos(t) as a first order system. 

Plot an approximate solution curve for the specified initial conditions.

[x0=5, y0=1],[x0=-2, y0=-4],[x0=0, y0=.1],

This is what i have so far but i am not sure if its correct.

Eulers modified method: 

with(RealDomain);

x[0] := 0;

y[0] := 5;

t[0]=0

h := .1;

for n to 100 do

x[n] := x[n-1]+h*(x[n-1]+y[n-1]);

k1 := x[n-1]+y[n-1];

k2 := h*k1+x[n]+y[n-1];

k := 1/2*(k1+k2);

y[n] := h*k+y[n-1]

end do;


data := [seq([x[n], y[n]], n = 0 .. 100)];
G1 := plot(data, style = point, color = "blue");
G1;

  1. Work with the function 

f(x) = 5x^2-125/x^2-16

  1. Find the horizontal asymptotes
  2. Draw the graph of the function.  Show all horizontal and vertical asymptotes on your graph.  Edit the domain and the range to get a “good window” that clearly shows the shape of the function and all the important features, such as zeros, intercepts, maxima and minima, horizontal and vertical asymptotes. 

I am new to maple and I need help.

Let x=x(t) and y=y(t) be functions in t. Suppose that x'=2x−5y+t and y'=4x+9y+sint such that x(0)=y(0)=0. Find y(1).

How do I go about doing this question?

Thanks

Hi EveryOne!

In the the answer of the question "How to find roót of polynomial in finite field and extension finite field (at URL: http://www.mapleprimes.com/questions/203977-How-To-Find-Roots-Of-Polynomial-In-Finite#answer215097). Carl Love helped compute eigenvalues (x1,x2,...,xn)and eigenvectors of the given matrix M over GF(28)/(y^8+y^4+y^3+y+1).

I need to do:

1. Get matrix D from these eigenvalues (x1,x2,...,xn), with D[i,i] = xi and D[i,j≠i] = 0 (D will be diagonalizable matrix. Some xi may be in extension finite field  GF((28)2))

2. Get matrix P from eigenvectors corresponding to the above eigenvalues, compute P-1

3. Compute matrix B = P x D1/4 x P-1 in  extension finite field  GF((28)2).

Please help me!!! 

My task is to develop a mathematical model of time-variant temperature
distribution in a bar with Maple. 
The bar is made of aluminum. The length is 202 mm and the diameter
is 8mm.
Heat is supplied from the kitchen lighter where the flame burns on butane.
The height of the flame is about 4 mm.
Your model should be able to answer how long the time it takes to reach
a certain value of temperature at the distance of 10 cm from the heat source.

 

anyone can help to answer this? im totally new to maple.. hopefully some1 can help me to answer this..

Please see attached document.

 

The 2 bits of data I am working with are a Constraint Function and Objective Function:

 

 

I need some pointers on how to do this. I keep getting solutions of

and I am ont receving an x value for some reason and leaving me unable to continue with the problem.

If anyone can send me some code I would be grateful. If anyone would like to send the correct full working code so I can see how to do this and review it I would be grateful.

 

 Code I had so far was:

 

 


 

Write a Maple code that performs the Gaussian elimination for an nxn matrix, converting it to an upper triangular matrix. 

(Hint: you will need to use three for .. do loops.)

Write a recursive Maple procedure, called “decToBin”, that converts an integer from decimal (base 10) to binary (base 2). Ensure that only integers are allowed as arguments to the procedure. Passing a negative integer should result in no output. Test your procedure by outputting the result of the following:
decToBin(10)
decToBin(163)
decToBin(213)
decToBin(-1)
decToBin(“A”) # should result in an “invalid input” error

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