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Course: MA 114, Fall 2008
School: Kentucky
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Word Count: 190

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114 Study MA guide for exam 1, part 2 This study guide is a mixture of concepts to think about and problems to solve. It is not a substitute for doing homework, reading the book, or asking questions. 1 Various problems Problem 1. Determine the equation of the line tangent to the curve y = arcsin x at the point (1/2, /3). Problem 2. Is there any value of x for which the line tangent to y = arcsin x and the...

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114 Study MA guide for exam 1, part 2 This study guide is a mixture of concepts to think about and problems to solve. It is not a substitute for doing homework, reading the book, or asking questions. 1 Various problems Problem 1. Determine the equation of the line tangent to the curve y = arcsin x at the point (1/2, /3). Problem 2. Is there any value of x for which the line tangent to y = arcsin x and the line tangent to y = arctan x have the same slope? Problem 3. Let f be the function dened f by (x) = 4 x2 . For all x in the closed interval [0, 2], dene A and B as follows. Let A(x) be the area A(x) B(x) of the region below the curve y = f (x) but above the line segment with endpoints (x, f (x)) and (2, 0). Let B(x) be the area of the triangle with vertices (x, f (x)), (2, 0), and (x,...

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