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Assume that (X, d) is a metric space and let (x1, : : : , xn) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , xn) obtained by removing every xi from X is open in X. (Sketch a picture to get some intuition!)
3/45
-1
I am the least two digit number which round off to 100?
Sketch the graph of h (t ) = 1 - 5e 1/(t/2) Solution : Let's primary get a table of values for this function. Following is the sketch. The major point behin
The sum of the smallest and largest multiples of 8 up to 60 is?
/3x-5/-x-7=0
Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a
Evaluating a Function You evaluate a function by "plugging in a number". For example, to evaluate the function f(x) = 3x 2 + x -5 at x = 10, you plug in a 10 everywhere you
What is a Complement of a set?
A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t
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