Question
For the curve , show that the sum of length of tangent and sub-tangent at any point is proportional to product of coordinates of point of tangency.
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A spherical balloon is filled with 4500p cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began isQuestion Text | For the curve
, show that the sum of length of tangent and sub-tangent at any point is proportional to product of coordinates of point of tangency. |