Wednesday, December 8, 2010

Don't forget for test #6

  • Make sure your calculator is in radian mode
  • Sketch two-dimensional graphs of regions carefully on your test (you can use the calculator to graph functions) - use your sketch to label radii and/heights
  • For some of the regions, you will need to solve for intersection points (2nd-Calc-5 on calculator); store these as constants in your calculator for easy recall and accuracy
  • Don't forget pi in front of the integral for disc & washer methods and 2pi in front of the integral for shell method and surface area
  • For washer method, be sure your integrand is (R^2 - r^2) and not (R-r)^2
  • When finding volume with semi-circle cross sections, be sure to square the radius (this will be 1/2 of the side length you would use for square cross sections) and not the diameter (a common error)
  • Remember to use the amount a spring has been stretched or compressed for the integral limits (and not the actual length of the spring)
  • Round all numerical answers to three digits after the decimal point
I would also suggest that you aim to finish the 10 questions in about 40 minutes.  You will then have about 10 minutes to double-check your work. 

The mean scores on the tests I have given on this chapter in the past few years have been between 90 and 92 with about 60 to 70 with an A.  There will not be a curve on this test.  I would be thrilled with everyone earning a high score, but let's make sure that no one earns < 70!

I've had students ask if I will implement a bonus if everyone is present tomorrow for the test ... let's have no absences and you'll find out!

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