A Water Tank Is Constructed in the Shape of a Sphere

question 82

Multiple Choice

A water tank is constructed in the shape of a sphere seated atop a circular cylinder.If water is being pumped into the tank at a constant rate, let $h(t)$ be the height of the water as a function of time.Which of the following is true at the point where $h(t) =$ b?

• A)The second derivative doesn't exist
• B)There is an inflection point
• C)The slope is infinite
• D)None of the above

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Definitions:

Keynes

John Maynard Keynes was a British economist whose ideas fundamentally changed the theory and practice of macroeconomics and the economic policies of governments, especially his advocacy for active government intervention to stabilize economies.

The Classicals

A group of economists in the 18th and 19th centuries, including Adam Smith and David Ricardo, who developed theories about how economies function.

Price Level

The overall level of prices for goods and services in an economy at a specific point in time.

Aggregate Supply Curve

Curve showing the level of real GDP produced at different price levels during a time period, ceteris paribus.