6. Two posts, one 5 m high and the other 7 m high, stand 10 m...

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6. Two posts, one 5 m high and the other 7 m high, stand 10 m apart. They are secured by two ropes, attached between the posts is a single stake from ground level to the top of each post. Using Calculus, where should the stake be placed to use the least amount of rope and what angles do the poles make with the respective ropes? 3. The curve has equation f(x) = = Sketch the graph of f(x). The full solution should include the first and second derivative tests using interval tables. Complete the list of properties. If there are none explain why. Vertical Asymptote(s)= Horizontal Asymptote(s) = Slant Asymptote(s) = Intercept(s) = Increasing Decreasing = Extrema(s) = Concave Up = Concave Down = Point(s) of Inflection= -2 x 3x-6 = 6. Two posts, one 5 m high and the other 7 m high, stand 10 m apart. They are secured by two ropes, attached between the posts is a single stake from ground level to the top of each post. Using Calculus, where should the stake be placed to use the least amount of rope and what angles do the poles make with the respective ropes? 3. The curve has equation f(x) = = Sketch the graph of f(x). The full solution should include the first and second derivative tests using interval tables. Complete the list of properties. If there are none explain why. Vertical Asymptote(s)= Horizontal Asymptote(s) = Slant Asymptote(s) = Intercept(s) = Increasing Decreasing = Extrema(s) = Concave Up = Concave Down = Point(s) of Inflection= -2 x 3x-6 =