Try to keep it simple
Please prove that if B is the subset of A, and A is countable set, then B is countable. Please be very clear, and try to keep it simple, thanks.
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Frandec Company manufactures, assembles, as well as rebuilds material hand equipment employed in warehouses and distribution centers.
Use the secant techniques to find out the zero near -0.5 of f(x) = e^x - 3x^2. This function also has a zero near 4. Find this positive zero by Newton's method.
Write down a simple program on MATLAB to find the root of f(x) = x^3 + 2x^2 +10x -20 by using secant method with starting value x0 = 2 and x1 = 1. Run 20 steps, and include a stopping test as well.
Determine the fixed points for each of the following functions:
A storage barrel holds a volume of 100 gal. Waht is the load in lbf (not lbm) of the water in the barrel if it is filled to the top? Assume g=15.9ft/s^2, the density of the water is 1000kg/m^3, weight is in Newton's and 1 N = 1kg*m/sec^2.
Make a binary search tree using the book titles listed below.
Provide an example of a sequence (fn) of bounded functions on [0, 1] which converges pointwise to a function f but does not converge uniformly to f. Briefly justify your example.
Provide an example of a sequence (fn) and set S such that (fn) converges uniformly to f but (fn) is not uniformly bounded. Briefly justify your example.
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