Parametric Equations and Polar Coordinates


Problems

Problem : Is the following plane curve a function: y = 3t 2 , x = , 0≤t≤5 ?


Problem : The following plane curve is a circle: x = 2 cos(t) , y = 2 sin(t) , 0≤t < 2Π . Is its orientation clockwise or couterclockwise? What happens when you reverse the parametric equations, so that x = 2 sin(t) , y = 2 cos(t) ?


Problem : Convert the parametric equation x = 2t , y = , t > 0 , to a rectangular equation.


Problem : Convert the parametric equation x = 3t + 1 , y = , t , to a rectangular equation.


Problem : How many times does the graph of x = t 2 - t - 6 , y = 2t , -5 < t < 5 cross the y -axis?


Problem : Jim and Bob are racing from the origin to the point (5, 10) . Let t be the number of seconds after the start of the race. Jim's position at any time t is given by the parametric equations x = t , y = 2t . Bob's position at any time t is given by the parametric equations x = 5t , y = 10t . Who will win the race? How long does it take each competitor to finish the race?


Take a Study Break

Green YOUR SCHOOL!

Click here to get involved with dosomething.org!

John Krasinski's BIG MIRACLE

Click to watch the trailer and read exclusive star interviews!

Do you like Anna?

Read Dear Albert... from ANNA's perspective!

BATTLESHIP, the movie

Here's why we're super jazzed about it.

Do energy juices actually work?

Our blogger puts 'em to the test!


The Book

Cover image

Read What You Love, Anywhere You Like

Get Our FREE NOOK Reading Apps