Find the intervals of increase and decrease for the given function:
For the functions given below, find the critical points of f(x) and classify each as corresponding to a relative maximum, a relative minimum, or neither.
Use the second derivative test to find the relative maxima and minima of:
Find all vertical and horizontal asymptotes of the graph of the given function:
Find the absolute maximum and absolute minimum (if any) of the given function on the specified interval:
A cable is to be run from a power plant on one side of a river 1,200 meters wide to a factory on the other side, 1,500 meters downstream. The cost of running the cable under the water is $25 per meter, while the cost over land is $20 per meter. What is the most economical route over which to run the cable?
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