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Water is leaking out of an inverted conical tank at a rate of 6,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.)
Answer will be in these units: cm3/min
Please walk me through and show a picture for visualisation as I have tried this problem many times and cannot figure it out.
Determine the following for the system in the given units: The natural undamped frequency (rad/s) and The critical damping (lb · s/in)
Review and reflect on what you learned in the past 8 weeks. What is the most practical and easily applied lesson you learned?
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The area of a sector in a circle is given by the formula: A=1/2r2θ, where r is the radius and θ is the central angle measured in radians. Find the rate of change of A with respect to θ if r remains constant. What is the rate when r=3?
Find which of the infinite series converge and which diverge and you mix the vessels thoroughly so that each vessel contains a mixture of oil and vinegar. This caper is then repeated any number of times.
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A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F.
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