Read sections 1.4, 1.5, and 1.6 of the text (Thomas/Finney).

Make sure you are able to solve all the core problems in these sections.

Write up the following problems and hand them in:

section 1.4, page 83: 6, 10, 18a, 20a, 30, 36, 46, 48, 50

section 1.5, page 95: 8, 20, 28, 34, 40, 46, 50

section 1.6, page 101: 18, 22, 24, 26, 28, 32, 34

Do the following problems in maple and hand in your print-outs. Go through the sample worksheet for help. Save the worksheet, 9_20_00.mws, on your floppy disk. Open maple by clicking on the maple icon on the windows desktop. Then open the worksheet by clicking on the "file" pulldown tab, selecting "open", and finding the worksheet on your floppy disk. Work through the worksheet from top to bottom. In the process, you should learn everything you need to do the following problems. Print it out so it's handy for you when you do your homework. Now open a new worksheet to do your homework and print it when you're happy with the results. Note: you can save your work as HW1.mws (for example), go off and have dinner, and then resume your work by reopening HW1.mws. When you've done all the problems, trim out the stuff you don't want to hand in, print it out and add comments by hand. (Or you can type your comments into the maple session before printing it.)

Problems with Maple? Here are the commands I used.

• Consider f(x) = exp(cos(x)) at the point 2*pi. Find three right secant lines and three left secant lines. Take them with h=1/2, 1/4, and 1/8 (for the right ones) and h=-1/2, -1/4, and -1/8 (for the left ones). Plot the function and the right secant lines on three different scales, zooming in to show how well they're fitting the curve. Plot the function and the left secant lines on three different scales, zooming in to show how well they're fitting the curve. Discuss what you observe.

• Consider f(x) = sqrt(x^2-4x+3) at the point 3. Find six right secant lines. Take them with h=1, 1/2, 1/4, 1/8, 1/16, and 1/32. Plot the function and the right secant lines on three different scales, zooming in to show how well they're fitting the curve. Discuss what you observe.

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