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Example text
Part (a) Begin by defining f and q. In[1]:= q Out[1]= x3 3x2 4; f#x h' f#x' Simplify$ ccccccccccccccccccccccccccccccccccccc ( h f#x_' h2 3 h +1 x/ 3 +2 x/ x Part (b) From the simplified form of q found in part (a), can you determine of q as h 0? Your result can be verified using the Limit command. In[2]:= Out[2]= m#x_' Limit#q, h 0' 3 +2 x/ x Part (c) The difference quotient is plotted below for the specified values of h and then m+x/ is plotted. ) is used to replace q with specific values of h.
Therefore, not all warning messages should be interpreted as error messages. 35 In[109]:= An Introduction to Mathematica list 1, 2, 4 General::spell1 : Possible spelling error: new symbol name "list" is similar to existing symbol "List". Out[109]= 1, 2, 4 Using an Add-On Function Before Loading it into Memory Problems will occur if you attempt to use an add-on command before it has been loaded into memory. For example, the add-on command DayOfWeek[{year, month, day}] will return the day of the week on which the given date occurred.
B) Evaluate the limit symbolically. sin x Part (a) First we plot the function and from the graph you can estimate limx0 cccccccc cc x 1. CAS Exercise Examples for Chapter 1 In[1]:= Sin#x' Plot$ cccccccccccccccccc , x, 2, 2 , PlotRange ! 2 -2 -1 1 2 Part (b) To verify your guess in part (a), you can evaluate the limit with Mathematica. In[2]:= Out[2]= Sin#x' Limit$ cccccccccccccccccc , x 0( x 1 39 40 CAS Exercise Examples for Chapter 1 Finding Deltas Graphically Executing the Mathematica command Plot[f[x],{x,a,b},PlotRange->{{c,d},{e,f}}] will plot the function on the interval #a, b' and will then display the graph on an portion of the xy-plane with values of x ranging from x c to x d and values of y ranging from y e to y f .