Find the volume and surface area. Round to the nearest hundredth when necessary.
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N.b., this is copied from an answer I wrote for someone else.
Thinking about the graph of y, the rate of change is zero whenever there is an extremum.
First, differentiate y.
Next, find the zeros of y' by factoring.
Now, we substitute these x-values into the original equation to find the coordinates.
Thinking about the graph of y, the rate of change is zero whenever there is an extremum.
First, differentiate y.
Next, find the zeros of y' by factoring.
Now, we substitute these x-values into the original equation to find the coordinates.