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1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent
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From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans: PA=PB (length of tangents
Whats some negative integers that equal 36
A building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains 41(19/21-) cu m of air. If the internal diameter of the building is equal to its t
Consider the following two polynomials in F 17 [x] (a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials. (b) Use the FFT algorithm, by hand, to
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Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.
A framed print measures 36 by 22 in. If the print is enclosed by a 2-inch matting, Evaluate the length of the diagonal of the print? Round to the nearest tenth. See Example.
Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:
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