Binomial expansion and exponential

1.Expand the expression using the Binomial Theorem:

http://hosted.webwork.rochester.edu/...409e221a51.png___http://hosted.webwork.rochester.edu/...5f47b537b1.png__http://hosted.webwork.rochester.edu/...0e66e4f681.png___http://hosted.webwork.rochester.edu/...e25384ce81.png__http://hosted.webwork.rochester.edu/...50d06c2871.png___http://hosted.webwork.rochester.edu/...ca59068401.png___

2.Suppose p varies inversely as the square root of q. If p=-7 when q=9, what is p if q is 6?

p=_____

3.The stopping distance d of an automobile is directly proportional to the square of its speed v. A car required 50 feet to stop when its speed was 80 miles per hour. Find a mathematical model that gives the stopping distance d in terms of its speed v.

Your answer is d=_____

Estimate the stopping distance if the brakes are applied when the car is traveling at 62 miles per hour.

Your answer is_____.

4.If the point http://hosted.webwork.rochester.edu/...4eff2fdd91.png is on the unit circle in quadrant IV, then y=___.

For number five, let me know if these are right.

5.http://hosted.webwork.rochester.edu/...65f85e6fc1.png= sqrt(3)/2

http://hosted.webwork.rochester.edu/...f19bacca11.png=0

http://hosted.webwork.rochester.edu/...9f86f43a41.png=sqrt3

http://hosted.webwork.rochester.edu/...96b82a1c41.png= sqrt(3)/3

http://hosted.webwork.rochester.edu/...2720636d41.png=-1

http://hosted.webwork.rochester.edu/...d622b8eb01.png=2/sqrt(2)