A Ferris wheel with a radius of 15 m is rotating at a rate of one revolution every two minutes. Exactly how fast (in m/min) is a rider rising when his seat is 24 m above ground level? m/min

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: A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m3/min. How fast is the…

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Q: A ladder 10 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: A triangular trough 10m long, 4m across the top and 4m deep is being filled with water at a afficed…

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Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: 2. A 13-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the…

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Q: A Ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How…

A: the height is given byh = 10 sin (pi * t) + 10dh/dt = 10 cos (pi * t) * pi

Q: A spherical balloon is being filled with air at a constant rate of 3 cm3/s. How fast is the radius…

A: Let,Volume of sphere = VRadius of sphere = rRate at which the volume of sphere is increasing = dVdt…

Q: 1. Water is flowing at the rate of 2 m3/min into a tank in the form of an inverted cone having an…

A: It is given that the cone has altitude 16 m and radius 4 m. That is, hcone=16,rcone=4. Let r and h…

Q: A spherical balloon is inflating with helium at a rate of 192n ft° / min. How fast is the balloon's…

A: V=43πr3S=4πr2

Q: 3. A cylindrical tank of diameter 20ft is being drained with water at the rate of 400ft /min. How…

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Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Given: Since the height is decreasing.     To determine:

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m°, Imin: How fast 1.…

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Q: consider a rectangular bathtub whose base is 18 ft2. How fast is the water level rising if water is…

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Q: Water is flowing into a (inverted) conical reservoir 20 feet and 10 feet across the top, at the rate…

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Q: A light is at the top of a 16 ft pole. A man 6 ft tall walks away from the pole at a rate of 5ftsec…

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Q: a fisherman on a wharf 1.2 meters above the level of still water is pulling a rope tied to a boat at…

A: topic - application of derivatives

Q: Water is flowing into a conical reservoir 20 ft. deep and 10 ft. diameter across the top, at the…

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Q: m Oil is running into an inverted conical tank at the rate of 37 -. If the min tank has a radius 2.5…

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Q: A 20 foot ladder is resting against the wall. The bottom of the ladder is being pushed towards the…

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: Let be the volume and r be the radius of the sphere respectively.

Q: A 13​-foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A: Given that A 13​-foot ladder is leaning against a vertical wall​ after pulling the foot of the…

Q: How fast is the circumference of a circle changing if the radius is changing at the rate of 3 mm/s?

A: Solution

Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36pi in^3/min. How…

A: given in a cylinderr=5 indVdt=36π in3/minh=10 innow volume of cylinder (V)=πr2hradius is constant

Q: A 12-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A: A 12-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

Q: A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

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Q: An isosceles triangular water trough is 5 meters long, 3 meters across the top, and 2 meters deep is…

A: Where we see the application of derivatives to solve the given problem

Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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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 cylindrical tank with a radius of 5 m is being filled with water at a rate of 3m^3/min. How fast…

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Q: A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A: GivenA 10-ft ladder is leaning against wall .{ HereAB is wallAC is ladder }Let the height of the…

Q: A Ferris wheel with a radius of 13m is rotating at a rate of one revolution every 2 minutes. How…

A: Given thatRadius of the Ferris wheel is 13 mThe time period of the Ferries wheel is 2 min To find…

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

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Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: Given Data: The height of the man is: h=1.9 m The height of the lamppost is: H=5 m The increasing…

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: Given: Length of the ladder, l=5 ft. Distance between wall and the bottom of the ladder, x=4 ft…

Q: A balloon leaving the ground 60 ft. from an observer, rises vertically at the rate of 10 ft. per…

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Q: A 20-foot ladder is resting against a wall. The base is being pulled away from the wall at a rate of…

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Q: A kite, at a height of 60ft.is moving horizontally at rate of 5ft./sec away from the boy who flies…

A: In right angle triangle ,According to the Pythagoras theorem , H2 = P2 + B2 Where H is horizontal ,…

Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How…

A: Given,            A balloon leaving the ground 60 ft from an observer rises vertically at the rate…

Q: a kite 100 ft ft above the ground moves horizontally at a speed of14ft/s. at what rate is the…

A: If you like the solution then please give it a thumbs up..... The Answer is:     Result = - 0.035…

Q: A furniture Fis attached to a rope 50 meters long that passes over a pulley at point A, 20 meters…

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Q: A spherical balloon is inflating with helium at a rate of 300r min How fast is the balloon's radius…

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Q: pouring

A: We will find the rate of change of height.

Q: A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A: Given a ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed…

Q: A 20-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a…

A: We have been given a 20ft ladder which is leaning against a wall and is sliding down the wall AD.…

Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every 2 minutes. How…

A: Explained below

Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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Q: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

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Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes.…

A: