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mathematics
june 2020
11

Mathematics Questions and Answers June 11, 2020

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@$)!$:&&:'m 1. Use implicit differentiation to nd the equation of the tangent line at the point (2,1). x2 xy y2 = 1 2 2. Use implicit differentiation to nd 35. Show work and simplify your answer. Do NOT solve for y before differentiating. x3 + 3'4 = 10

. Consider the following function f(x) =ax tax - ax-a A1-2 A2-9 A3-3 A0- 2 and add the corresponding coefficients (see list): 1. State the intervals where f increases and decreases. 2. Find the extreme values of f. 3. Use the Newton-Raphson method to approximate the roots of f to 5 decimal places. Find the inflection points. 4. Sketch the graph of

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