(1 point) A fluid moves through a tube of length 1 meter and radius r=0.003±0.0002 meters under a pressure p=3⋅105±2000 pascals, at a rate v=0.25⋅10−9 m3 per unit time. Use differentials to es

(1 point) A fluid moves through a tube of length 1 meter and radius r=0.003±0.0002 meters under a pressure p=3⋅105±2000 pascals, at a rate v=0.25⋅10−9 m3 per unit time. Use differentials to estimate the maximum error in the viscosity η given by

η=(π/8)(pr^4)/v.