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A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
a) Write the function that models the total volume of the rocket.
b) If the total volume of the rocket is m3, what should the radius be (correct to 3 decimal places)?
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
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A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of ν0 m/sec, but its velocity decreases because of drag forces.
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