Principle of inclusion-exclusion yield
Discuss how the Principle of Inclusion-Exclusion yield the Sum Principle?
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Throughout a national debate upon changes to health care, a cable news service performs an opinion poll of 620 small-business owners. It shows that 77% of small-business owners do not approve of the changes.
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Suggest the piecewise constant interpolation of the function f(x)=sin(x), 0 <= x <= 381, at points x_i = ih, where h = 0.1. Thus, our interpolant satisfies v(x) = sin(ih), (i-0.5)h <= x < (i+0.5)h, for (i = 0, 1, ..., 3810).
A 120 I tank initally haves 90kg or salt dissolved in 90 I of water. Brine containing 2 kg/I of salt flows in the tank at the rate of 4 I/min and the well-stirred mixture flows out of the tank at 3 I/min. Determine an equation f
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Suppose that An >or = 0 for every n belonging to N and sum An is convergent series. Prove that sum a^2 n (a squared n) is also a convergent series.
Using the recursive definition of the Fibonacci sequence, find and prove a formula for the simple continued fraction representation of (Fk+1)/(Fk). Your formula should be correct for all natural numbers k.
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