Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you guess the answers to three such questions. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made? (Type an exact answer.)

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A: Disclaimer: As the question has multiple parts, only first three will be answered.   The easiest and…

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

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A: Please see the below picture for detailed solution.

A: Given query is to solve the expression.

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A: 1. For x= 3, the function  f(x) has a local maximum in the interval (0,8) 2. For x=2  , the function…

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A: Case 1: Let the given number be in mixed fraction notation.

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A: This is improper integral of first kind, limit is ♾️

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A: Given,

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A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

A: We\'ll start by distributing both the sides of the inequality as shown on the board