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QUESTION 21 In the Bemoulli Trials chapter of the text, according to Johann Bern

ID: 3325126 • Letter: Q

Question

QUESTION 21 In the Bemoulli Trials chapter of the text, according to Johann Bernoulli a hanging chain has an equation that is constant, because of the law of large numbers a catenary, not a parabola ahways changing and depends on the style of chain used defined using a second-order differential equation O O QUESTION 22 Use Bemoullis method, or formula, to calculate the following probability from tossing a fair coin six times Round your answer to two decimal places. P(3 of each-tails and heads) . QUESTION 23 True or False Is the following pair of numbers amicable? 17,296 and 18,416 True False QUESTION 24 Use the concept from the chapter on Euler that refers to decomposing whole numbers into sums of integers and find O(11) The answer to this question should be a single numerical value QUESTION 25 Use Fermat's scheme for finding prime factors to prove that 13,973 is a composite number, and not a prime number. Please enter only the smaller of the two factors

Explanation / Answer

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Johann Bernoulli demonstrated through calculus that neither a straight ramp or a curved ramp with a very steep initial slope were optimal, but actually a less steep curved ramp known as a brachistochrone curve (a kind of upside-down cycloid, similar to the path followed by a point on a moving bicycle wheel) is the curve of fastest descent.

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