The base of a 45-foot ladder is being pulled away from wall at a rate of 12 feet per second. How fast is the top of the ladder sliding down the wall at the instant when the base of the ladder is 27 feet from the wall? HINT [See Example 2.] ft/s

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

A: We need to find the rate at which top of ladder moving down.

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A: topic - application of derivatives

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A: Given: The length of a rectangle is increasing at a rate of  9cm/s and its width is increasing at a…

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: From Pythagorean theorem in the right triangle,  the length of the ladder is h2+b2.

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

A: Given:- A 17 feet ladder is leaning against a wall. if the bottom of the ladder is pulled along the…

Q: 2. A 15 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall…

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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: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Given, length of ladder = 17 ft But given that ladder is leaning against a wall ⇒  the ladder and…

Q: The base of a 40-foot ladder is being pulled away from a wall at a rate of 14 feet per second. How…

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Q: The base of a 20-foot ladder is being pulled away from a wall at a rate of 11 feet per second. How…

A: application of derivative

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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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: Water is discharged from an inverted cone-shaped tank with a height of 12 meters and a radius of 6…

A: Given: The height of the inverted cone-shaped tank, h = 12m. Also, its radius, r = 6m. From the…

Q: A 15 meters ladder is resting against the wall. The bottom is initially 10 meters away from the wall…

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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 ladder 15 feet long is leaning against a vertical wall. The top of the ladder slides down the wall…

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

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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: ladder away

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: We know for rectangle, Area (A) = Length (l) × width (w) So, rate of change of area, (dA/dt) =…

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

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

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Q: The top of a ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the bottom…

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Q: The top of a 18 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

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Q: how

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Q: The top of a ladder slides down a vertical wall at a rate of 0.125m/s. At the moment when the bottom…

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Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Height = 10 foot 3 feet/sec Ladder is 3 feet from the wall

Q: Suppose that a ladder of length 25 ft is placed on a vertical wall. It was then found out that the…

A: length of the ladder= 25ft According to Pythagoras theorem:…

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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: Given that the top ladder slides down a vertical wall at a rate of 0.15m/s. the bottom of the ladder…

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A: Now given that

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when…

Q: The base of a 45-foot ladder is being pulled away from a wall at a rate of 6 feet per second. How…

A: Use Pythagoras theorem

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A: We have to find