ryk is using a straw to drink beer from a right cylindrical glass at a rate of 6 cubic centimeter per second. If the height of he glass is 12 centimeters and the diameter is 6 centimeters, how fast is the level of coke falling at a constant rate?

Q: A lamp post 3 m high is 6m from the wall. A man 2 m tall is walking directly from the post toward…

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Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is…

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Q: On Earth, you can easily shoot a paperclip 64 ft straight up into the air with a rubber band. In t…

A: For maximum height ds/dt=0 Answer(a): On the earth it will take 2 seconds to reach the maximum…

Q: A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes.…

A: Given data:   The initial speed of the car is u=100 km/h. The given distance is s=80 m=0.08 km.…

Q: A streetlight is mounted at the top of a 16 foot pole. An 8 foot tall Sasquatch walks away from the…

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Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m., another…

A: Given: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m.,…

Q: The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an…

A: Given that  The volume of a cube is decreasing at a rate of 24 cubic inches per minute.…

Q: An airliner passes over an airport at noon traveling 510 mi / hr due east. At 1:00 p.m., another…

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Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

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Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: The top of a ladder 30 meters long leans against a vertical wall, and the lower end rests on a level…

A: Let the height of wall corresponding to the ladder lean at any instant be denoted as h. Let the…

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: A baseball diamond is a square with side 90ft. A batter runs toward first base at 25 feet per…

A: Assume x = distance batter has run at time t andD = distance from second base to the batter attime…

Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

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Q: Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he…

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Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: Here we use the application of derivative

Q: Suppose a car is going 31 miles per hour and slams on the break and decelerates at 13 feet per…

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Q: Suppose that a car skids 15 m if it is moving at 50 km/h when the brakes are applied. Assuming that…

A: Given that car skids, 15 m if it is moving at 50 km/h when the brakes are applied. That is,

Q: A man 6 ft tall walks along a level sidewalk away from a lamppost. On the post is a street light 18…

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Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of…

Q: A 15-foot teddy bear is leaning against a shelf. The top hand of the teddy bear is sliding down the…

A: Let horizontal distance= x ft , vertical distance= y ft Relation between x and y is: Given that…

Q: Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost which…

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Q: Romeo is walking towards North at a rate of 4m/s. Ten seconds after, Juliet walks towards East at a…

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Q: Mervin and Leela are in bumper cars. They are at opposite ends of a 100-meter track heading toward…

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Q: A 6​-foot-tall woman walks at 9 ft/s toward a street light that is 24 ft above the ground. What is…

A: The height of the woman is 6 ft. and the height of the street light is 24 ft.The woman walks at 9…

Q: Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second. At…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A:

Q: Charley stands 34 meters west of Robert. Robert starts walking north at a speed of 2 m/s, and…

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Q: A girl is using a straw to drink coke from a right cylindrical glass at a rate of 6 cubic…

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Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

A:

Q: A kite flying 80m high is blown horizontally by the wind at a velocity of 5m/s. If the string is…

A: We are given that a kite flying at 80m height is blown horizontally by the wind at a velocity of…

Q: a 5-ft tall person walks away from a 20-ft tall streetlamp at a constant rate of 3 ft/s . at which…

A: Let us denote: x= distance of the person from the post y=length of the shadow Given that, dx/dt=3 ,…

Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

A:

Q: Martha and Bill are out kayaking. The both put in at a point on the south shore of a large lake, but…

A: Let distance covered by Martha = x miles speed = 2.5 miles/h time = 1.5 h Distance = speed * time…

Q: el is being dumped from a conveyer belt at a rate of 20m /min and its coarseness is such that it sa…

A:

Q: A baseball diamond is a square with side 90ft. A batter hits the ball and runs toward first base…

A:

Q: 6. Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If…

A:

Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

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…

A:

Q: Each side of a square is increasing at a constant rate of 4 centimeters per second. At what rate is…

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Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Suppose that Stuart is 6 feet tall and is walking towards a 20 foot streetlight at a rate of 6 feet…

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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…

A: Given data: The height of the man is CD=7 ft. The height of the street light is AB=16 ft. The rate…

Q: A 22-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Leader is leaning against wall at AC=22 ft. Distance of the ladder from the wall is x=15 ft. Let the…

Q: A 50-gallon tank initially contains 10 gallons of fresh water. At t= 0, a brine solution containing…

A: We will find out the required time.