Statistics / Mr. Hansen

Name: ____________________

2/8/2005

 

 

Quiz on §7.1 and Recent Class Discussions

 

 

Show work, including proper notation. No calculator is permitted. Circle your answers.

 

 

1.

Solve the differential equation y ¢ = y2 sin 2x, given that y is 3 when x is p/2. Today, you must check your answer (both derivative and initial condition) in order to earn full credit. Hint: From Precal, sin 2x = 2 sin x cos x.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.

A particle has velocity (in m/sec) given by
v(t) = t2 – 2t – 8. Set up the integral(s) needed to find each of the following. DO NOT EVALUATE. However, do indicate the units of your answers.

 

 

(a)

Total distance covered from t = –5 sec until t = 5 sec.

 

 

 

 

 

 

 

 

 

 

 

 

(b)

Net distance covered from t = –5 sec until t = 5 sec.