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K Determine whether the following statements are true and give an explanation or counterexample Assume...

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Algebra

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K Determine whether the following statements are true and give an explanation or counterexample Assume x 0 and y 0 a In xy In x Iny b In 0 1 d c In x y In x Iny d e e dx e ex x x 1 dx f d dx x 3 e x for any integer n21 1 g The area between the curve y and the x axis on the interval 1 e is 1 X GREEEED A The statement is false The Product Rule of Logarithms states that In xy In x In y B The statement is true The Quotient Rule of Logarithms states that In xy In x Iny CC The statement is true The Product Rule of Logarithms states that In xy Inx Iny D The statement is false The Sum Rule of Logarithms states that Inx In y In x y b Choose the correct answer below OA The statement is false because In 0 0 OB The statement is true because e 1 OC The statement is false The natural logarithmic function In x is not defined at x 0

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