29. + -/2 points SCalcETSM 3.9.002.

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(a) If A is the area of a circle with radius / and the circle expands as time passes, find dA/dt in terms of dr/dt.

dt

(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m?

m /s

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30.

+ -/1 points SCalcET8M 3.9.005.MI.

My Notes + Ask Your Teacher

A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m /min. How fast is the height of the water increasing?

m/min

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31. + -/1 points SCalcETSM 3.9.006.

My Notes + Ask Your Teacher

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 40 mm?

mm-/'s

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09:29

10/10/2019