By K. D. Stroyan

Calculus utilizing Mathematica

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Extra resources for Calculus Using Mathematica

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27. Use Mathematica to plot both functions from the previous exercise on the same graph. First start Mathematica and then type y[x_ ] := x; z[x_ ] := x A 3 - 3 * x ; Plot[{ y[x] , z[x] } , {x, - 3 , 3}, PlotRange -> {-3,3 } ]; yM z[x] and enter the computation. 28. Find the equations of the lines shown in the graphs below. 6. 6. Graphs without Formulas Graphs are primarily good for qualitative information rather than quantitative accuracy. Graphs readily show where quantities are increasing or decreasing, but only give rough approximations to amounts, rates of increase, and the like.

14. ma with its built-in example function, y = f[x\. Read the instructions in the NoteBook on making Mathematica run an animation. You should see a 'movie' of an expanding graph. 5 times. Once the magnification is high enough, the graph appears to be linear. 2) Focus the microscope at the point x = 0 instead of the built-in x = 1 and re-Enter the two computation cells. 5, x = 0 and x = — 1 when all these are possible. 4. Functions with Kinks and Jumps Not all functions are smooth or locally linear.

Let f{x) =1 ( x + 2 ifx < - 1 x if -Kx<3 I 4x — 3 if3

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