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10. A man purchased 2000 m of used wire fencing at an auction. He and his wife want to use the fencing to create three
10. A man purchased 2000 m of used wire fencing at an auction. He and his wife want to use the fencing to create three adjacent rectangular paddocks. Find the dimensions of the paddocks (to one decimal place) so that the fence encloses the largest possible area. Given the function y = , determine the following information a) the equations of any asymptotes (2K) b) the x, y-intercepts (2K) c) intervals of increase/decrease (3A) d) local maxima/minima (1K) e) intervals of concavity (3A) () points of inflection (1K) Question 11 continued: g) Sketch the function. Be as accurate as possible. Include proper scales for x, y-axes 12. Use the second derivative test to classify all the critical points of f(x) as minimums, maximums or neither: f(x) = x3 - 2x
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