- A cylindrical tank is being filled simultaneously with waterand sugar. The input of water and sugar is carefully adjusted sothat the concentration of sugar in the water is held constant at 5grams per cubic meter. The tank has a radius of 5 meters and aheight of 10 meters. At a particular point in time, the water levelis 3 meters high and rising at a rate of .5 meters per second. Atthis time, how quickly is the mass of sugar in the tankincreasing?
- Sketch the graph of a function f having the followingproperties: Label points of inflection, if any, on the graph. Thedomain of f (x) is (−∞, 5) ∪ (5, ∞) and f is continuous on itsdomain. f(−6)=−3;f(2)=4. x = 5 is a vertical asymptote. limf(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 couldjust walk me through these problems that would be wonderful.
