Can someone tell me the commands of these in Mathematica/Wolframalpha?

  • Context: Mathematica 
  • Thread starter Thread starter flyingpig
  • Start date Start date
Click For Summary
SUMMARY

This discussion focuses on specific commands in Mathematica and WolframAlpha for performing multiple integrals in polar coordinates and executing row operations on matrices. The user provided an example of integrating a function in polar coordinates using the command Integrate[r, {r, 1, sqrt(2sin(2*theta))}, {theta, pi/12, 5pi/12}], which did not yield a numerical answer. Additionally, the user sought clarification on obtaining echelon form without factoring in the command RowReduce{{1,5,7},{1,-2,-2}}, and how to ensure outputs are in decimal format using //N.

PREREQUISITES
  • Understanding of multiple integrals in polar coordinates
  • Familiarity with matrix operations and echelon forms
  • Knowledge of Mathematica syntax and commands
  • Basic concepts of numerical output formatting in programming
NEXT STEPS
  • Research the command Integrate in Mathematica for advanced integration techniques
  • Explore the RowReduce function in Mathematica for matrix transformations
  • Learn about the //N operator in Mathematica for converting outputs to decimal
  • Investigate the differences between Mathematica and WolframAlpha in handling mathematical queries
USEFUL FOR

Mathematics students, educators, and anyone utilizing Mathematica or WolframAlpha for computational tasks involving integrals and matrix operations.

flyingpig
Messages
2,574
Reaction score
1
Alright I have been trying to figure out these commands for the past month and I could not get them. Hopefully one of you could lead me to it

Multiple Integrals in Polar Coordinates

Here is an example

Integrate[r, {r, 1, sqrt(2sin(2*theta))}, {theta, pi/12, 5pi/12}]

I typed this in and I get

[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP135219f87b7148ah12d000004fca37i7cda808h9?MSPStoreType=image/gif&s=25&w=291&h=50

It does not give me a numerical answer

Row Operations with Elementary steps

I don't even know how to get this. I can get the rref(M) of a matrix M, but that's pretty much it...

I like to know the commands for echelon form

Leave the final answer in rref(A) without factoring

Let's say I have a matrix \begin{bmatrix}<br /> 1 &amp; 5 &amp; 7\\ <br /> 1&amp; -2 &amp;-2 <br /> \end{bmatrix}

I punch this into Wolframalpha using RowReduce{{1,5,7},{1,-2,-2}} and I get

[PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP30119f87cg4dgd3fi1h00005c11c2c4cc7d2i70?MSPStoreType=image/gif&s=60&w=76&h=36

See how they factor the 7 out? How do you make it so that it DOESN'T do that?

Leave answers in decimal in matrix

Pretty much the opposite of what is requested from before.
 
Last edited by a moderator:
Physics news on Phys.org
Use //N at the end of a line in Mathematica to give a decimal output.

I'm not sure about Wolfram Alpha.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 22 ·
Replies
22
Views
4K