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Calculus/Related rates.


Water flows into a tank having the form of a frustum of a right circular cone. The tank is 4 m tall with an upper radius of 1.5 m and a lower radius of 1 m. When the water in the tank is 1.2 m deep, the surface rises at a rate of 0.012 m/s the discharge of water flowing into the tank is 0.05m^3/s. CAlculate the rate of change of the radius of the water in the tank.


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Paul Klarreich


All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.


I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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