Grain is lifted on a conveyor belt at a rate of 34 ft/min and dumped into a pile that forms a cone whose base diameter is always equal to its height. How fast is the height of the pile increasing when the pile is 13ft high? Round the result to the nearest hundredth.

Q: 3. A man 6 ft tall walks along a straight path away from a lamp post 15 ft high at the rate of 2…

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Q: Gravel is being dumped from a conveyor belt at a rate of 34 ft3/min and its coarseness is such that…

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Q: A 9.5-meter ladder is leaning against a wall. The bottom of the ladder is being pulled horizontally…

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Q: Gravel is being dumped from a conveyor belt

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A: SOLUTION-

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Q: A large icecube that is 4cm on each sode is melting in a jug of lemonade at the rate of 3cm3 per…

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Q: Stephanie is standing atop at 13 ft ladder. The ladder is leaning against a vertical wall. The…

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Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

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Q: Sand is being dumped from a conveyor belt at a rate of 20ft^3/min and its forming a pile into the…

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Q: An ice cube that is 3 cm on each side is melting at a rate of 2 cm3 per min. How fast is the length…

A: Given: Length of cube L=3cm Rate of melting =-2cm3

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

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Q: A 14 ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

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Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that…

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Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Topic:- calculus

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: a bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. how fast is…

A: A bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. its radius…

Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that…

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Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Let the length of side of square be' a '

Q: Gravel is being dumped from a conveyor belt at a rate of 25ft3 per minute. It forms a pile in the…

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Q: A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a rope…

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Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: From the given problem the representative diagram is as shown below. Apply the Pythagorean theorem:…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Let A= Pulley , B= Boat Given that AC=1  Let, x= distance of the boat from the dock. y=length of the…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: against

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Q: a girl flies a kite at a height of 300ft. the wind carrying the kite horizontally away from her at a…

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Q: A 25-foot ladder is leaning against a house. The base of the ladder is pulled away from the house at…

A: Let x be the base of the ladder dxdt=3 feet/sec ladder = z = 25 feet x=7 feet y=252-72=24 feet

Q: Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that…

A: Now given that

Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

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Q: 13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of 4…

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Q: Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that…

A: The volume of the pile is increasing at a rate of 10 ft3/min. so,dvdt=10 The diameter and height are…

Q: A man 7.00 ft tall approaches a street light 16.0 ft above the ground at the rate of 6.00 ​ft/s. How…

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