Assignment 11, due Tuesday, April 15.

Presentation exercises are marked with a *.

Exercises from the text:

Section 10.5: Exercises 1, 6, 9, 11, 12*.

Please note: I meant the following exercises to be from section 5.2, not 5.1.

Section 5.2 : Exercises 2,3,4,5,6*, 12

For exercises 3-6 (b) use Mathematica to find the integral to an adequate degree of accuracy. To do this, open the demonstration notebook summation_method.nb (demonstration 9 on my web page) and execute the "initialization cell" at the top of the notebook to "teach" mathematica my program for approximating integrals. Now, to evaluate the integral from 0 to 1 of x^3, for example, you can use the code:


f[x_] = x^3;

midrect[f, 0, 1, 20]


The 20 here is the number of subintervals (or the number of rectangles whose area is summed). Replace 20 by 100, 200, 500 and see what approximations you get to the integral.

Section 5.3: Exercises 2, 3*. Use Mathematica as above to evaluate the integrals.

Section 5.4: Exercises 1-4, 7, 13.