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Electrical Circuit The voltage V in volts of an electrical circuits is
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Calculus: Early Transcendental Functions
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- Work The work W required to lift an object varies jointly with the object’s mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 100-kilogram object 1.5 meters.arrow_forwardDistance and time Anthony leaves Kingstown at 2:00 PM and drives to Queenville, 160 mi distant, at 45mi/h .At 2:15 PM. Helen leaves Queensville and drives to Kingstown at 40 mi/h . At what time do they pass each other on the road?arrow_forwardComputer Virus The number V of computers infected by a virus increases according to the model Vt=100e4.6052t, where t is the time in hours. Find the number of computers infected after (a) 1 hour, (b) 1.5 hours, and (c) 2 hours.arrow_forward
- Flow Speed in a Channel The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation, V=1.486A2/3S1/2p2/3n Here V is the velocity of the flow in ft/s; A is the cross-sectional area of the channel in square feet; S is the down-ward slope of the channel; p is the wetted perimeter in feet the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank; and n is the roughness coefficient a measure of the roughness of the channel bottom. This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A=75ft2,S=0.050,p=24.1ft, and n=0.040. a Find the speed at which water flows through the canal. b How many cubic feet of water can the canal discharge per second? Hint: Multiply V by A to get the volume of the flow per secondarrow_forwardFlow Speed in a Channel The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation, V=1.486A2/3S1/2p2/3n Here V is the velocity of the flow in ft. /s; A is the cross-sectional area of the channel in square feet: S is the downward slope of the channel; p is the wetted perimeter in feet (the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A=75ft2 , S=0.050 , p=24.1ft and n=0.040 . (a) Find the speed at which water flows through the canal. (b) How many cubic feet of water can the canal discharge per second? [Hint: Multiply V by A to get the volume of the flow per second.].arrow_forward
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