Posted: December 30th, 2021
1. Volume and Work
A container is created by revolving the curve y=x2″ title=”y equals x squared” src=”https://lh4.googleusercontent.com/WJPq_KVsGG8UUgPyELPVR7K5yLLkZfAm8KUf4OYV16GLWt1OZoUFqwyJI2m75-vuzXeHFl71y2XxS78FB-vUZ25ZRIjc7IY72TZlCGcJ3koGht-qzIBIK8yOi_isQs9-2oB86HxT” width=”54″ height=”23″ style=”margin-left: 0px; margin-top: 0px;”> from y=0 to y= 9 about the y-axis.
a. Write an integral that computes V(h), the volume of liquid contained if the container is filled to a height h.
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