Math 116, Winter 2010
Aaron Warnock
Ch. 8 Group Project
Names:____________________
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Complete the following problems. All partners should work together. If I feel you are not contributing to
your groups work, you will be scored lower. Show any work that you do on this sheet itself, including
any pictures or graphs you draw.
1. Show that the polar form of x 2 − y 2 = 1 is r 2 = sec 2θ
2. Graph r = 8sin ( 3θ ) on the polar coordinate system using rapid graphing techniques, without
using a calculator. Show the table you use to graph it.
3. Find the value of the expression and write the final answer in exact rectangular form.
(Show your work! Do not just multiply by distribution.)
( −1 + i )
4. Find all the 5th roots of − 3 + i .
6
5. An airplane can cruise at 255 miles per hour in still air. If a steady wind of 46.0 miles per hour is
blowing east, what compass heading should the pilot fly in order for the course of the plane relative
to the ground to be north? Compute the ground speed for this course.
(This is different than what we’ve been usually doing. You need to think about it.)
6. A car is on a driveway that is inclined 10° to the horizontal. A force of 490 lbs is required to
keep the car from rolling down the driveway. (Also different.)
a) Find the weight of the car.
b) Find the force the car exerts against the driveway.