Modulus of rigidity G = where R is radius, 0 is angle of twist and L is the length. Determine the approximate percentage error in G when R is increased by 3%, 0 reduced by 4% and L increased by 5%.

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Sand is being dumped on the conveyor belt and forms pile in the shape of a cone whos base diameter and height are always equal. find the average rate of change of the volume of sand in the pile with respect to the height of the clone  from h=1.5 m to h=2.5 m

The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the left- and right-endpoint approximations to estimate the total amount of water drained during the first 3 min. t min 0 0.5 1 1.5 2 2.5 3 I/min 48 46 44 42 40 38 36 Answer: liters.