A rectangle is inscribed in the ellipse 16 x2 + 81 y2 = 1296 Find the rate of change of the area of the rectangle with respect to x Rate of Change of Area with respect to x =

Q: A 13 foot ladder is leaning against a house when it’s base starts to slide away . By the time the…

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Q: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. Find the rate…

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Q: There is a water tower with a radius of 5 feet and a height of 30 feet. The water level is 25 feet…

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Q: The height of a right circular cone is increasing at 4 cm/sec and the radius is decreasing at 1.5…

A: Recall:  Volume of right circular cone, V=13πr2h Given, dhdt=4 cm/sec, drdt=-1.5 cm/sec  To find,…

Q: Water is flowing at the rateof 6 m3/min from a reservoir shaped like a hemispherical bowl ofradius…

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Q: Water is draining from a cylindrical tank of water at a rate of 3 m / min . If the radius of the…

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Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A: The volume of a regular pyramid with height h of apex from base square of side a is given by,…

Q: Water is dripping into a hemispherical bowl with a radius of 8 cm at a rate of 1 cubic cm per…

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Q: A right circular cone has a fixed height of 7 units. Find the rate of change of its volume v with…

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Q: A piston is seated at the top of a cylindrical chamber with radius 3 cm when it starts moving into…

A: The given data is: Radius R= 3 cmSpeed v= 5cm/s To find the rate of change of the volume of the…

Q: Water flows into a conical container at a rate of 7 cm's The radius of the container is 5 cm and the…

A: We have to find rate of change of Radius.

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: Lets make the figure

Q: A tank of water in the shape of a cone is being filled with water at a rate of 3 m3/sec. The base…

A: To find: The rate of change of depth of water in the tank, when the height is 9 m. Given: The radius…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into…

A: Let h be the distance between the piston and base of the chamber.

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min.…

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Q: A runner starts on the east side of a circular track of radius 300 feet. Let’s say their inital (x,…

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Q: Water is flowing at the rateof 6 m3/min from a reservoir shaped like a hemispherical bowl ofradius…

A: Given  The equation of the volume is V=π3y23R-y Radius of the hemisphere is R=13 m  Water flowing…

Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

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Q: a cylinder has a height equal to its radius. find the rate of change of volume with respect to…

A: A cylinder has a height equal to its radius. find the rate of change of volume with respect to…

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min.…

A: Rate of change

Q: The radius of a sphere decreases at a rate of 3 meters per second. Find the rate at which the…

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Q: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

A: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A: Given that inverted pyramid rate 60 cm^3 per second Length (l) = 3 cm Height (h) = 9 cm So,…

Q: An ice cube in a freezer is growing due to accretion, each edge is increasing by 0.2 cm per minute.…

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Q: 3 of its radius. 4 Mohamad Salah poured orange juices into a cylindrical red tank whose height f the…

A: Topic:- application of derivatives

Q: A container which has a shape of cone is full of sand. The container stands point down and has a…

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Q: A drum of oil in the shape of a cone is leaking oil at a constant rate of 3cm^3/ hour. The base…

A: Given Base radius of drumR= 7 cm Height of drumH=15 cm  and dVdt=-3 cm3/hour

Q: A tank of water in the shape of a cone is being filled with water at a rate of 12 m3/sec. The base…

A: Consider the given information about cone. Base radius of the cone R=26 m Height of the cone H=8 m…

Q: Air is pumped into a spherical balloon at the constant rate of 200 cubic centimeters per second. How…

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Q: determine the instantaneous rate of change in: a. surface area of spherical balloon (as it…

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Q: A container which has a shape of cone is full of sand. The container stands point down and has a…

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Q: A plane flying horizontally at an altitude of Imi and a speed of 500mi/hr passes directly over a…

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Q: A right circular cylinder has a fixed height of 4 meters. Find the rate of change of its volume V…

A: Given: A right circular cylinder has a fixed height of 6 m.

Q: A radar-tracking dish located 2400 meters from the base of a spaceship's launching pad is always…

A: Find your answer below

Q: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. Find the rate…

A: given: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. we have…

Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

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Q: Suppose an oil tanker ruptures and is spilling oil into the ocean. The oil is forming a circular…

A: Let us denote r=radius and A= area   Given that dr/dt=3 m/sec We have to find dA/dt=? when r=10 m

Q: A conical funnel is 200 mm tall and has a maximum diameter of 150 mm. Water is flowing into the…

A: 1st we will draw figure and using geometry find relation between radius and height of the funnel .…

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

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Q: A bacterial cell is spherical in shape. Find the rate of change of the volume of the cell with…

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Q: A spherical balloon is being inflated. Find the rate of change of the surface area with respect to…

A: Given a spherical balloon is being inflated.

Q: A spherical droplet of water evaporates at a rate of 1 mm3/minute. Find the rate of change of the…

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Q: The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is…

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Q: A ball is inflated at a rate of 200x cubic inches per second. Find the rate at which the radius is…

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Q: A tank of water in the shape of a cone is leaking at a constant rate of 2 m hr. The base radius of…

A:

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…

A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

Q: A baseball diamond has the shape of a square with sides 90 feet long. A player running from first…

A: The rate is:-

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: Given : height of the pyramid = 7 cm Sides = 2 cm

Q: A right circular cylinder has a fixed height of 4m. Find the rate of change of its volume V with…

A: Let h and r denote the hieght and radius of base of the cylinder.1