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Show that the transitive closure of the symmetric closure of the reflexive closure of a relation R is the smallest equivalence relation that contains R.
Use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima.
suppose the length of a rectangle increases,but the perimeter remains at 70 feet. How does the width change?
a high school basketball court is 34 feet longer than it is wide. If the perimeter of the court is 268 what are the dimensions of the court.
Consider the vertices representingAlaska and Hawaii as isolated vertices.
353 people attend a local play at a private club. members get tickets for $2.75 while non-membrs have to pay $6.50 if the total gate for the play came to $1762.00 how many members and non-members came to the play.
The retailer would like to analyze the sample data to determine whether a relationship exists between the time spent viewing the online catalog and the dollar amount of purchases. Compute the regression equation based on these sample data and i..
In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?
how many different finishes among the first three places are possible for a ten-horse race? How many ways can a three-person subcommittee be selected from a committee of seven people?
The height f (t), in feet of an object thrown upward after t seconds is given by f(t) = 256t - 16t^2 (a) Find the time when it reaches the highest point. (b) how high does it go
in 1990, 1 dollar equalled 125 yen. In 2010, 1 dollar equalled 80 yen. At this rate, how many yen will the dollar equal in 2015?
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
If you are 18 years old, deposit $3,660 each year into a Roth IRA for 52 years at 3.9% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
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