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MAPLE Learning
Exercises

Maple Exercises

Material originated in 2000 by Seattle Central Community College
 and available for general usage.
Liberally edited by Anita Johnston, 2002

Hand in printed copy of Maple as solution.  Include text in document where appropriate.  To do this go to Menu Bar, click on Insert, and then Text.  To get back into Maple type Ctrl-J.

1.  Assign the name w to the number    and then find the exact value and a decimal approximation for the following:  and .

2.  a) Factor    .

     b) Enter the function .  Find the x-intercepts of f(x) by graphing and solving.

     c) Explain the relationship between the answers for part a) and b). 

3.  Suppose  
a) Find the approximate value of  T when a=4.6  ,  b= -3.8  and c=2.9 .

b) Solve for b.

4.  a)  Let  ,  then find and simplify ,    .

     b)  Let .  Graph f(x) and this equation on the same graph.  Estimate the point(s) in intersection.

     c) Find the actual point(s) of intersection to 3 decimal places.

5.  Plot the function    on the interval  . Automatic scaling does not produce a useful picture. Specify a y-range that gives a good view of this function on this interval.

6.  Recall that if a rational number has an infinite decimal expansion then somewhere in the expansion the digits must repeat. A familiar example is the decimal expansion of the fraction  = .33333... where we have the digit 3 repeated.  A bit more interesting is the decimal expansion for   = 2.3571428571428... with the repeating digits 571428. Now look at a decimal expansion of the fraction  . Can you identify the repeating sequence. Check yourself by looking at one thousand decimal places.

7.  Approximate all real solutions of the equation    .