A large state university finds that 82 of a random sample of 200 of its first-year students engage in binge drinking.  Find a 90%  confidence interval for the proportion of all first-year students at the state university who engage in binge drinking.  Also find the margin of error.  Round all of your answers to four decimal places.   90% Confidence Interval:  ( , ) Margin of Error:   

You want to know what proportion of adults in the United States use an electric toothbrush.  How many adults have to be surveyed to estimate this proportion with a margin of error of 3% using a 95% confidence interval?

You want to know what proportion of adults in the United States use an electric toothbrush.  How many adults have to be surveyed to estimate this proportion with a margin of error of 4% using a 95% confidence interval?

In each of the following equation, determine what your guess should be for  should be when using the method of undetermined coefficients. 

Find the general solution:

Suppose in the mass-spring system, the position function is given by

Suppose the position function to a mass-spring system is given by   1.

In the mass-spring-dashpot system, suppose the system is overdamped with

The roots of the characteristic equation for y” +2y’+y=0 are:

For each of the following functions representing the position of function in a mass-spring system, determine if the system is undamped, underdamped, overdamped, or critically damped