a 50 feet ladder is leaning against a wall of a building supose the base of the ladder slides away from the wall of the building at a rate of 2 ft / min. at what rate is the top of the ladder slides to the ground base of the ladder is 40ft from the wall of the building?

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A: 6)

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A: Consider the following:

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A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: Let the ladder is k meters. (k=constant) Let the distance of the bottom = x m and distance of the…

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A: We have to find at what rate is the top of the ladder sliding down the wall when it is 8 feet above…

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A:

Q: A ladder 10 ft. long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder 10 ft. long If the bottom of the ladder slides away from the wall at a rate of 2 ft./sec.,…

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A: Let r be the radius of base of cylinder, then r=2 ft .Let h be the height of water level at any time…

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A:

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A: Given that

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A: Calculus

Q: There is a cylindrical shaped container to catch rain water off a roof. The container is 2 feet…

A:

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A:

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A conical water tank has a radius of 3 m and a height of 6 m. Water is flowing into the tank at the…

A: NOTE: Refresh your page if you can't see any equations. . here we have R=3 H=6 V'=12

Q: Water is flowing at the rate of 6 ft/min into a tank that is in the shape of a right circular…

A: Given data:   The rate at which water is flowing in the cylindrical tank is dV/dt =6 ft3/min. The…

Q: A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is…

A:

Q: A 50-ft ladder is placed against a building. The top of the ladder is sliding down the building at…

A: Here the length of the ladder = 50-ft let the distance between the foot of ladder and foot of…

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: Let the length of the ladder is L.

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…

A:

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

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

Q: A ladder 7 m long is leaning against a wall. If the bottom of the ladder is pushed horizontally…

A:

Q: A 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the…

A:

Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

A: Let AB is h=5 m long ladder leaning against the wall AC. Distance between the bottom of the ladder…

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A:

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

A:

Q: A 20 foot ladder leans against a vertical wall. If the base of the ladder is pulled away from the…

A:

Q: A 13-ft ladder is leaning against a house when itsbase starts to slide away. By the time thebase is…

A: If a ladder is leaning against a wall and when its base starts to slide away it makes a triangle…

Q: A 17 ft ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground…

A: x2+y2=172=289Differentiate with respect to 't'2xdxdy+2ydydt=0   xdxdt+ydydt=0

Q: A ladder 20 feet long is leaning against a vertical wall. The base of the ladder is pulled away from…

A: First we formulate an equation involving two variables x and y by using  the Pythagorean theorem…

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Firstly we will draw the diagram for given information and then find the required as shown below

Q: A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given:-  Ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A conical glass whose radius is 5m and altitude 12m is being filled at the rate of 10 cu. m/sec. How…

A:

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: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: form a triangle with given information : let BC = x   dxdt=0.5 AB = y  dydt=-0.375  AC = z  dzdt=0…

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

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A: With the given details, we can draw a triangle . Here,  h is the vertical height at which kite is…

Q: An angler has a fish at the end of a line. The line is reeled in at 2 ft/sec from a bridge 30 feet…

A:

Q: A ladder 20 ft long is leaning against an embankment inclined 60° to the horizontal. If the bottom…

A: Let x= distance of ladder from the embankment, y= vertical height. Given: dxdt=-1 ft/sec To find:…

Q: A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Assume length of ladder be l height be h base be b Given l=13 ft b=5ft dbdt=2ft/sec

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: