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The position of an object oscillating up and down at the end of a spring is given by t in seconds.
1.
The position of an object oscillating up and down at the end of a spring is given by t in seconds.
A is the amplitude of the motion, k measures the stiffness of the spring and m is the mass of the object. How fast is the object accelerating when it is accelerating the fastest?
2.
A container in the form of a right cylindrical cone with its vertex down has a radius 5 meters and 15 meters height. `If the water is poured into the container at a constant rate of 10 cubic meter per minutes, how fast is the water level rising. To solve this problem we consider that
3.
For , determine the values of x where the function is increasing or decreasing (write the intervals), locate the maximum and minimum if exist.
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