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Unformatted text preview: Cell 1: Bill Knowlton Extra Credit Assignment #4 Your Assignment: (NOTE: USE YOUR OWN EQUATION ) 1. Using Mathematica , use the Style Sheet called ArticleModern (under Format −> Style Sheet) for this assignment. Use various Styles (under Format −> Style) to describe your assignment and program. This Cell is using the Subsection Style. 2. Plot an equation (USE YOUR OWN EQUATION) in 2 dimensions that is a function of multiple variables. An example is shown below. You will need to use several commands including: a. Plot[ ] b. YourEquation[var1_,var2_,...,var#_]:=equation c. Print[ ] to output several values of interest 3. Plot your function over 2 variables but in 2 dimensions on many plots. 4. Plot your function over 2 variables but in 2 dimensions all on one plot. 5. Plot your function over 2 variables in 3 dimensions. 6. Plot your function over 2 variables in 2 dimensions suppressing multiple plots and graphing the multiple plots in one plot. à Examples: Problem 2. In the Input Cell below, I use the ideal gas law showing a direct relation with temperture, T, and an inverse relation with pressure and is given by: v @ p _ , n _ , T _ D : = n R T p Note that there are other variables, but they are not included in the bracket [ ]. The variables included in the [ ] are call Arguments allows us to vary or give a value directly for each variable in the [ ]. For more information, see Help −> Master Index −> [ ]. Lastly, to add a comment in the Input Cell that Mathematica will ignore, use (* comment *). I use this to document what I'm up to in the program. In[31]:= Clear @ v, R, T, p D v @ p _ , n _ , T _ D : = n R T p H ∗ Constants ∗ L R = 0.08206; H ∗ atm L êH mol K L ∗ L H ∗ Plots ∗ L Plot @ v @ p, 1, 298 D , 8 p, 1, 10 < , Frame → True, GridLines → Automatic, PlotStyle → 8 RGBColor @ 0, 0, 1 D< , FrameLabel → 8 "p H atm L " , "v H L L " < , PlotLabel −> "v vs p for T = 25 o C" D Print @ "v: " , v @ 1, 1, 298 D , "L at T = 25 o C" D 2 EC4 Multiple Plots v6.nb Out[34]= 2 4 6 8 10 4 6 8 10 12 14 16 p H atm L v H L L v vs p for T = 25 o C v: 24.4539L at T = 25 o C à Problem 3....
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This note was uploaded on 10/16/2011 for the course ENGINEERIN MSE 310 taught by Professor Billknowlton during the Spring '10 term at Boise State.
 Spring '10
 BillKnowlton

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