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Let I = {0, 1, 2, 3, ..., 9}, and let A be the set of decimal representations of real numbers in the open interval (0,1).
Define the function f: (0, 1) -> A as follows: For x in the open interval (0,1), let f(x) be the element of A with the property that for every positive integer k, the digit i_k in the kth decimal place of f(x) is the least i in I such that x has a decimal representation in which i is the digit in the kth decimal place.
Show that f is discontinuous at every real number x in the open interval (0,1) such that x can be represented as a terminating decimal.
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
Using law of cosines for solving the problem.
Decision analysis with sample information/expected value/utility analysis/quantitative methodsProblem:A television network has been receiving low ratings for its programs.
Evaluate the Area enclosed by the first quadrant and the circle using integration
I need to know how to find first 3 derivatives for f(x) = cos(sq) 2X. I am able to find derivatives for similar problems, but the 2X portion is throwing me off.
Multiple choice questions on regression.
The surface area S of a right prism is given by S = 2B + Ph. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
Application of calculus
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
Use the gemerators and relations for D(sub2n)= to show that if x is any element of D2n, that is not a power of r, then rx=xr^-1.
Important information about Elliptic boundary value problem (lap) means the Laplacian Vrr means the second derivative of V with respect to r
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