Comment to the 8:00 class:   You will be able to do all the problems on this page after Tuesday's lecture.

1. Do problem 69:36
   • First plot the line   y = x   and the function   y = g(x)   on a common graph.
     Review the first Maple Tutorial entitled Basics if necessary.

   • In part (a), use starting value   x₀ = 0   in both cases.

   • In part (b), explain why we cannot approximate the root that is near   x = 2.6.

2. Do problem 69:40

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   Comment to the 10:15 class:   You will be able to answer the following questions after Wednesday's lecture.

3. Under what conditions is the fixed point method guaranteed to converge? Be clear and specific.

4. Under what conditions will the fixed point method converge faster? Be clear and specific.

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