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What happens to the circumference of a circle if you double the radius? What happens if you double the diameter? What happens if you triple the radius?
Chemistry: Delta Systems The element cesium (Cs) freezes at 28.4?, and its molar enthalpy heat of fusion is AHfus=2.09 Kj/mol
what is the probability that each challenge will be won by a different camper? what is the Probability that Hank, one of the Seniors, will win at least one challenge?
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
The form of augmented matrices.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
For a given event, if the payoffs for alternatives 1, 2, and 3 (the only alternatives) are 50, 125, and -50 respectively, what is the regret associated with alternative 1?
Graph by hand the curve whose parametric equations are given and show its orientation. Find the two different parametric equations for the rectangular equation
Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
You toss two dice - probability, You toss two dice and compute the "difference," which you will define to be the larger top number minus the smaller top number if the numbers are different, and 0 if the numbers are the same.
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
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