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.
272
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Suggestions for practice problems
As a first year student at IITM, we have a beginner course on Mathematica. For the end-semester examinations we need practice questions due to insufficiency of problems at hand, and I was wondering if ...
2
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0
answers
42
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DSolve bvlim error due to Boundary condition
I am solving an Ode using Mathematica:
$$-p\alpha x^{p-1}=m\ddot{x},\quad x(0)=x_0,\quad x'(0)=x''(0)=0,\quad x(t_1)=0.$$
And I have $p\alpha>0$, all $x$ and $t$ are positive. I want to figure out $...
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1
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How to draw the images of these six functions in six different coordinate systems at one time as required?
The six functions are as follows:
f1[x_] := x Log[x]
f2[x_] := x/Log[x]
f3[x_] := Log[x]/x
f4[x_] := x E^x
f5[x_] := x/E^x
f6[x_] := E^x/x
It is required to draw ...
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4
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1
answer
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Illustrating the central limit theorem
I'm working on this question is from Wolfram Mathematica online course. I tried my best to find the answer, still not getting it right
The question is:
Make a list of histograms of 10000 instances of ...
- 307
1
vote
3
answers
197
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How to plot the described figure in mathematica? [closed]
I have had an assignment for which I was supposed to calculate the maximum volume of the figure. I have done it and found my maximum points in the figure. The assignment does not require to plot the ...
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3
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73
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Use the command Select to find all integers x in the list $r=Range[16]$ such that $Mod[x^4,17]=-1$ and also try doing it by cases command
My try:
r = Range[16];
Select[r, Mod[x^4,17] = -1]
but it doesn't work.
How can I do it?
- 103
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134
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Why is my module saying "cannot assign to raw object" when I run it more than once?
I am trying to solve the shortest path problem in Mathematica. My code looks like this so far. I first import the list.
...
0
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44
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How do I build a module that takes in graph data? [duplicate]
This is a homework problem I'm really struggling with. I'm supposed to program the shortest path problem in Mathematica. There are 100 nodes, each node has corresponding distances to 2-3 more nodes. ...
0
votes
1
answer
62
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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 ...
-4
votes
1
answer
120
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Finding solution to fourth order polynomial [closed]
I would have your opinion on this. So, we were assigned some questions to solve using the program Mathematica, but I am not sure how my teacher would like the solution to be presented.
Could someone ...
- 41
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1
answer
65
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Manipulate list
Make a Manipulate to display a column of integer powers with bases from 1 to 25 and exponents from 1 to 10.
...
- 307
3
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2
answers
107
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Finding the consecutive distance of n-dimensional points with Mathematica
I want to create a list of (n-dimension, average of points) with 10,000 points per n-dimension.
I can't figure out how to take the distance of consecutive points. Say in 2-dimensions, there are 3 ...
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-1
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1
answer
64
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A general term of this sequence [closed]
My question is about the set theory.
I have c[0]={{1}} and i want to define c[n] as follows:
...
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1
vote
1
answer
101
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How to find the differential equation that has the solution $u=f(x+\frac{y}{z},y+\frac{x}{z})$? [closed]
I should use partial derivatives to find the differential equation that has the following solution:
$ u=f(x+\frac{y}{z},y+\frac{x}{z})$.
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2
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174
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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) ...
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4
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2
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273
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Numbers to binary and back
I am struggling on how to create a function that converts a number into binary and then back. I know there is a built-in function about this BaseForm[] but I am ...
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2
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2
answers
69
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Displaying FrameTicks of each function
Plot f(x) = x^3 and g(x) = 10e^(−x^2) on the same graph. Make a frame around the graph, show tick labels on all four sides, plot such that f(x)’s ticks appear on the left side of the plot and g(x)’s ...
-4
votes
2
answers
195
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Wolfram Mathematica Code please [closed]
Consider two natural numbers of two-digits, like 46 and 96. They have the property that by exchanging the place of their digits and multiplying the so obtained numbers, we get the same product; i.e.,
<...
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1
answer
136
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Van der Pol's equation [closed]
Consider the van der Pol equation below:
(x′′)+c(x^2−1)(x′)+(x)=0 , which governs
the flow of current in a vacuum tube with three internal elements. It can be written as
the system
x′= y , y′= -x-c(x^...
1
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1
answer
160
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Homework from studies! - module computation of an approximating function
Polynomial approximation
The aim of the task: to write a program in the form of a module in the Mathematica® machine code
computation of an approximating function F (·) for an approximated ...
- 11
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1
answer
345
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Histogram Plot Gaussian Distribution
I have to construct functions to obtain random numbers from a Gaussian Distribution with mean $\mu$ and variance $\sigma^2$ by using box-muller method and testing the function by sampling from a ...
user84766
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0
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Using Runge-Kutta to solve Black Scholes [duplicate]
I am given the Black Scholes equation as
$$\frac{\partial c(t, s)}{\partial t}+\frac{1}{2} s^2 \sigma^2 \frac{\partial ^2c(t, s)} {\partial s^2} + r s\frac{\partial c(t, s)}{\partial s} − rc(t, s) = 0 ...
user84766
1
vote
1
answer
205
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Plotting a lefthand Riemann sum
Using Mathematica create a single graph that plots both the function
a)$f(x)=\sqrt(x+4)$ on the domain $-4\leq x \leq4$
b) A visualization of a left-hand Riemann sum with 10 rectangles
Here is my ...
- 63
0
votes
1
answer
660
views
dot product and norm [closed]
Can you solve the following problem in mathematica program? Thank you.
Let x=(x1,x2,x3),y=(y1,y2,y3) and ⟨x,y⟩=x1y1+2x2y2+x3y3 be an inner product in a three-dimensional real vector space.
Define the ...
- 13
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1
answer
210
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Lotka-Volterra in mathematica
I have to solve the next problem:
We know that a=b=c=d=1 and x0=2,y0=3,q=0.2,On the t=[0,20] interval there is no fishing but on the t=[20,40] interval there is.Show the adequate trajectory(the first ...
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1
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77
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plot and volume of y^2+z^2=1 cut by the plane y=x and x=1 in the first quadrant
I need to plot and find the volume of y^2+z^2=1 cut by the plane y=x and x=1 in the first quadrant
So far,
...
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2
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515
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0
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1
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147
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How to use every number between 2^50 and 2^100 without having to rewrite the code? [closed]
What I have currently written returns a numerical value and stores it in b100. p and q are random integers of size 2^50. I want to use the same code to calculate values where p and q ranges from 2^50 -...
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103
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How would I use Mathematica to solve this question?
Given the following matrix, A, that corresponds to a particular subset of the world wide web:
...
- 21
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3
answers
142
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How to use a pure function to write following sum?
How to use a pure function to write following sum?
I have tried to use FoldList, but it is still not working.
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1
answer
572
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Simpson's 1/3 Rule [closed]
Hi. I'm trying to figure out how to code Simpson's rule in mathematica.
0
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1
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158
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2
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2
answers
344
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center of mass of a 2D square
Using Mathematica, find the center of mass of a 2D square not centered at the origin.
center: (x0, y0)
...
user77740
-3
votes
1
answer
135
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Mathematica Linear Regression [closed]
How do I create a user-defined function for linear regression without using the built in function. Essentially doing the steps one by one
1
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0
answers
492
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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
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318
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1
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1
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357
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Mirroring the graph on the negative y axis
Another quick question, I have been trying to plot a phase plot, which has resulted in some issues.
I know that there is a negative axis which it is also transposed on. However, when I include ...
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0
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75
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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 ...
- 337
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Writing a function that has two inputs
Write a function called DOTPRODUCT that has two inputs u and v,
assumed to be two non-empty lists of numbers of arbitrary length,
checks that the two lists are of equal length, prints an error message ...
0
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0
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53
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Map and Module to convert numerical value to grade [duplicate]
I have an assignment due next week, I've answered all other questions except for this one.
I am required to use Module and Map ...
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1
answer
57
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Solve for not y = 0 but for y = n [closed]
Let’s see if I manage to explain this well enough. I need to find roots of an equation(let’s say a quartic) but not at the points where the slope crosses the $x$-axis (y = 0), like the ...
5
votes
4
answers
493
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Using the Tube function to create a torus from an equation for the curve
I've been searching for an answer for this for a while now, but I can't find anything that deals with using the Tube function to generate a torus from the equation of the torus.
The equation of my ...
- 373
4
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1
answer
134
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How can I create a randomHop function that would return certain coordinates? [closed]
I've tried to create a function that's equal to a loop containing 4 if functions, one for each integer, but the result would not show the desired outcome. How can I go about doing this question?
Write ...
- 337
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2
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170
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How can I find equation of the tangent line for a curve given in polar form? [closed]
Basic calculus
Please tell me how to find the tangent at $θ=π/3$ in the form $y=ax+b$ of the curve represented by $r=(r-\cosθ)^2$.
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270
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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.
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3
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1
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637
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Adams-Bashforth method implementation code review
I have a program for Adams-Bashforth method and I want to do some tries to see if it's working properly but I don't know how to do it.
My code for AdamsBashforth is ...
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1
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92
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Using conditions to construct a function [closed]
This is the hint my professor provided.
We have 6 separate cases to define the function pow[x_ , r_].
The first case is where ...
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0
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33
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Speed up my own Orthogonalize and QRDecomposition [duplicate]
I defined Gram-Schmidt like this:
...
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3
answers
297
views
Get a triangle’s angles from the sides
Hint: For the SSS case, you are given the 3 sides a, b, and c, and need to find the corresponding angles α, β, and γ. To find α, for example, you solve the equation ...
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1
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98
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Solving an exponential inequality in two ways
I would like to solve the following inequality E^x/x^1000 >= 2 without Reduce.
Then I would like to solve it with ...
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