Time Rates | MATHalino reviewer about Time Rates

Problem 04
A triangular trough 10 ft long is 4 ft across the top, and 4 ft deep. If water flows in at the rate of 3 ft³/min, find how fast the surface is rising when the water is 6 in deep.

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Problem 03
A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows in at the rate of 12 ft³/min.

Read more about 03 Water flowing into rectangular trough
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Problem 01
Water is flowing into a vertical cylindrical tank at the rate of 24 ft³/min. If the radius of the tank is 4 ft, how fast is the surface rising?

Problem 02
Water flows into a vertical cylindrical tank at 12 ft³/min, the surface rises 6 in/min. Find the radius of the tank.

Read more about 01-02 Water flowing into cylindrical tank
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Time Rates
If a quantity x is a function of time t, the time rate of change of x is given by dx/dt.

When two or more quantities, all functions of t, are related by an equation, the relation between their rates of change may be obtained by differentiating both sides of the equation with respect to t.

Read more about Time Rates | Applications
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