- A cylindrical tank is being filled simultaneously with water and sugar. The input of water...

- A cylindrical tank is being filled simultaneously with water and sugar. The input of water and sugar is carefully adjusted so that the concentration of sugar in the water is held constant at 5 grams per cubic meter. The tank has a radius of 5 meters and a height of 10 meters. At a particular point in time, the water level is 3 meters high and rising at a rate of .5 meters per second. At this time, how quickly is the mass of sugar in the tank increasing?

- Sketch the graph of a function f having the following properties: Label points of inflection, if any, on the graph. The domain of f (x) is (−∞, 5) ∪ (5, ∞) and f is continuous on its domain. f(−6)=−3;f(2)=4. x = 5 is a vertical asymptote. lim f(x)=−∞and lim f(x)=0. x→−∞ x→∞ f′(2) = 0;f′(x) > 0 on (−∞,2) and on (5,∞);f′(x) < 0 on (2,5). f′′(x) < 0 on (−∞,3) and on (5,∞);f′′(x) > 0 on (3,5).

Please help! I am struggling to understand calc but if you could just walk me through these problems that would be wonderful.

Expert Solution

milcah answered 2 years ago

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