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Questions tagged [homework]

Homework questions are welcome, as long as they are asked honestly, explain the problem, and show sufficient effort. Please do not use this as the only tag for a question. Please do not add this tag to questions by other people unless they explicitly say that their question is part of their homework.

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33 votes
4 answers
27k views

Finding unit tangent, normal, and binormal vectors for a given r(t)

For my Calc III class, I need to find $T(t), N(t)$, and $B(t)$ for $t=1, 2$, and $-1$, given $r(t)=\{t,t^2,t^3\}$. I've got Mathematica, but I've never used it before and I'm not sure how to coerce ...
a98's user avatar
  • 433
3 votes
2 answers
4k views

Using the epsilon tensor in Mathematica

I'm having a great deal of trouble getting started on a weekly homework assignment in Mathematica. The assignment requires we use the epsilon tensor which is apparently built into Mathematica as ...
Merry's user avatar
  • 85
14 votes
8 answers
5k views

How to make a resizable chess board?

For some reason I need to create a chess board. I can create a chess board by following command: ...
forumcash's user avatar
  • 557
9 votes
2 answers
613 views

Check homework integration in Mathematica

Given in my homework I have to compute (by hand) $$\iint\limits_{x^2+y^2\leq 1}(x^2+y^2)\,\mathrm dx\,\,\mathrm dy.$$ My solution so far: Let $f(x,y)=x^2+y^2$ and $K=\{(x,y)\in\mathbb{R}^2:x^2+y^2\leq ...
Christian Ivicevic's user avatar
0 votes
1 answer
240 views

How do you manipulate this in 2D

Use Manipulate to create an interactive plot that shows the parametrically-defined curve described by {x[t], y[t]} = {t Sin[t], t^2/15} for ...
user41325's user avatar
8 votes
4 answers
1k views

Generating a polynomial that's accurate to within an error of no more than 1/10^5

I'm currently stuck on a question for class that asks... "Find a polynomial p[x] that you can use to calculate 6 ArcTan[x] to ...
user19060's user avatar
6 votes
4 answers
12k views

The Lotka-Volterra predator-prey model

I have a Mathematica assignment where we need to numerically solve a Lotka-Volterra predator-prey population equations. $$\frac{dx}{dt}=ax-bxy,\quad\frac{dy}{dt}=-cx+dxy,$$ where $a,b,c,d\in\mathbb{R}...
elykl33t's user avatar
  • 173
2 votes
2 answers
410 views

Recreate specific plot in Mathematica

Can anyone help on this ? I did this ...
user77551's user avatar
2 votes
1 answer
1k views

Using triangulation

I have been presented with 3 known points and the power densities at those points. I need to use those points to find the location of the actual antenna which is generating the signals. Power ...
Daniel R's user avatar
1 vote
0 answers
629 views

Calculating double integral bounded by domain in Wolfram Alpha Notebook [closed]

If I want to compute Double Integral on a given region(See attached Picture) How can I input this on Wolfram Alpha Notebook
Himu21's user avatar
  • 19
1 vote
0 answers
329 views

Using a numerical solver to solve a system of ODEs [closed]

Consider the competition model defined by dx/dt = x (2 − 0.4 x − 0.3 y) dy/dt = y (1 − 0.1 y − 0.3 x) Where the population x(t) and y(t) are measured in the thousands and t in years. Use a numerical ...
Mousa's user avatar
  • 61
0 votes
1 answer
304 views

How to find an equation of a line using Mathematica [duplicate]

(b) Find an equation of the secant line through $ (−2, f(−2)) $ and $ (−1, f(−1)) $. Define this line as $ fs1(x) $ in Mathematica.
Kasey's user avatar
  • 1
9 votes
3 answers
11k views

I want to draw a graph using a weighted Adjacency matrix

I have a weighted adjacency matrix as follows: ...
Ryan Durrant's user avatar
5 votes
2 answers
180 views

How to find each internal angles of an n-sided irregular polygon

The vectors given in problem are: p1 = {1, 2, 2}; p2 = {3, 1, 1/4}; p3 = {2, 3, 9/4}; p4 = {5, 2, 0}; p5 = {3/2, 5/4, 19/16}; Find all 5 of the (internal) ...
MJY's user avatar
  • 51
4 votes
3 answers
578 views

Area of volume of revolution

I want to calculate the exact area of this volume: RevolutionPlot3D[ f[x_] = Sqrt[28 x] , {x, 0, 21} , Axes -> True ] Additionally, I wish to see $x$ and $...
Dovendyr's user avatar
  • 225
4 votes
2 answers
387 views

How to check whether Laguerre polynomials are orthogonal?

I've got the problem with checking if Laguerre polynomials for n=1,...,10 are orthogonal. I have to create the list of these polynomials, then create the matrix of integrals from 0 to infinity. ...
Crunchy's user avatar
  • 41
4 votes
1 answer
599 views

How can I make a pretzel shape using Bézier curves?

I am trying to make a pretzel shape,but I cannot seem to get the loops even. Eventually, I need to make the pretzel shape loop in 3D so I need to nail the 2D concept first. Here's what I have so far....
Johnny's user avatar
  • 141
3 votes
2 answers
606 views

Tensor contraction

How do I let mathematica compute a tensor contraction like $\delta_{ab}\delta_{bc}$ with an output $\delta_{ac}$ efficiently? I tried TensorContract and TensorReduce but they were not helpful. ...
Hamurabi's user avatar
  • 199
3 votes
2 answers
642 views

Plotting the solutions of $y' = -\frac{\cos y}{\sin x}$

I struggle with the problem of plotting the solution of this ODE: $\qquad y' = -\frac{\cos y}{\sin x}$ I've already tried to use ContourPlot in a loop and in a ...
RuD_wow's user avatar
  • 31
3 votes
4 answers
550 views

Print all numbers from a sequence which don't contain the digit 7

so i have this: Cases[RecurrenceTable[{a[n + 1] == 7 a[n] + n, a[1] == 1}, a, {n, 7}], Except[7]] But i noticed that it will only exclude numbers that are 7, and ...
lara's user avatar
  • 39
2 votes
2 answers
439 views

local variable naming & symbolic argument

I'm stuck here with my variable assignment in this scenario ...
user4369's user avatar
2 votes
3 answers
2k views

draw part of parabola using graphics

Today, I was doing my physics homework. One of the questions was to draw velocity-time and position-time graphs from the acceleration-time graph. So for the first step I draw acceleration-time using <...
user2838619's user avatar
2 votes
2 answers
2k views

How can I fix my Simpson's rule integration code?

I was tasked with writing a function on Mathematica similar to NIntegrate, but that uses the Composite Simpson's Rule as its method for doing the calculation. The ...
Carlos M.'s user avatar
2 votes
2 answers
129 views

Inserting an integer into a list while maintaining descending order

Define a function g with two arguments, w and n, where w ...
Paulo Rodrigues's user avatar
2 votes
1 answer
566 views

How can I use Histogram and Histogram3D on an image?

I have a .jpg image named r. I am using the following code to plot a histogram: ...
user94948's user avatar
1 vote
2 answers
995 views

Is there a way to select the highest exponent of a polynomial expression?

I have a problem to program a particular kind of expression: Sum[1/(k n) (HS[t^k,x^k])^n,{n,1,Infinity},{k,1,Infinity}] where HS[t_,x_] is a polynomial function ...
Alessandro Mininno's user avatar
1 vote
1 answer
824 views

Frequency of elements in a list (merging tally data) [duplicate]

I've got a list in the format of list={{a,1},{a,1},{b,1},{c,1},{b,1}} And I want it to "compress" into a list of pairs ...
Dahn's user avatar
  • 137
1 vote
3 answers
501 views

Another way to calculate frequency from Fourier transform

I have some trouble with calculating frequency after Fourier transform. My code: ...
John's user avatar
  • 573
0 votes
2 answers
2k views

Least Square Fitting

stuck on a mathematica assignment and could really use some help. A) Fit a function with the shape log(Y) = a0 + a1log(U) to the datapoints (log(Ui), log(Yi) with an least square fitting. Show this ...
user14183's user avatar
0 votes
2 answers
199 views

Fraction of fibers that have failed

I have the following to set into mathematica. Assume a stress(sigma) applied on a specimen which has a number of fibers within it. All fibers that have a strength less than the applied stress should ...
user10600's user avatar
0 votes
3 answers
5k views

Solving One Equation with Two Variables

I am trying to solve an equation with two variables. It is the last step in the process of using the method of undetermined coefficients to solve a nonhomogeneous differential equation. The equation ...
Platatat's user avatar
  • 101
0 votes
1 answer
1k views

Lagrange Interpolation [duplicate]

I have the following table with 90 elements, and I want to write a loop that gives me the Lagrange operators. I want to construct an interpolation with Lagrange interpolation and show the loop to ...
idmj's user avatar
  • 11
0 votes
0 answers
76 views

Function to determine number of trees surviving forest fire [duplicate]

How can I write two functions, each of which have as their argument an array mat of 0s (no trees), 1s (trees), 2s (burning trees), that can determine the trees that survived a forest fire, which run ...
jbl's user avatar
  • 357
0 votes
1 answer
8k views

How to find roots using the bisection method [duplicate]

First I plot the function and then I try to find a domain such that I can see the curve cut through the x-axis. I do this via trial and error ...
Nabil's user avatar
  • 513
0 votes
1 answer
62 views

How do I utilise distance data from a text file?

I've been given a text file which looks like this - node0, node1 0.04, node8 11.11, node14 72.21 node1, node46 1247.25, node6 20.59, node13 64.94 Where node0 is the first location, and each subsequent ...
FlashWayneArrow's user avatar
-2 votes
1 answer
202 views

calling multiple functions in manipulate [closed]

Continuation Manipulate function to generate outliers I want to call a function in the manipulate environment so that the changing data is fed to another function and both the plots are plotted in a ...
kranthi kumar's user avatar