A circle is inside a square. The radius of the circle is decreasing at a rate of 5 meters per minute and the sides of the square are increasing at a rate of 5 meters per minute. When the radius is 5 meters, and the sides are 24 meters, then how fast is the AREA outside the circle but inside the square changing?

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4ft/s.

Q: The length of a rectange is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: A rocket, rising vertically, is tracked by a radar station that is on the ground 5 mi from the…

A: Given that: Rate of increase of distance from radar station = 2000 mi/hDistance between radar…

Q: A ladder 10 feet long is resting against a wall. If the bottom of the ladder is sliding away from…

A: Let the base be x  And the perpendicular be y and length of ladder=10 feet   dxdt=1 feet/sec…

Q: A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per hour…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour…

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

A: It would be best to express length, width, and area as functions of time. I’ll set x = width, y =…

Q: A circle is inside a square.The radius of the circle is decreasing at a rate of 4 meters per minute…

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Q: A 13-foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 3…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 4 meters per hour…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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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…

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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 circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per hour…

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Q: The radius of the circle is increasing at a rate of 1 meter per hour and the sides of the square are…

A: Solution is here

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: First I have draw the graph of given problem and then solved them using Pythagoras theorem. The foot…

Q: A ​13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Given  Length of ladder = 13 foot  Rate of movement of ladder from wall = 4ft/second

Q: A 10-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

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Q: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

Q: A rectangle is growing in such a way that when its length is 5 ft and its width is 2 ft, the length…

A: When length is:= 5 ft; When width is:= 2 ft; Rate of increasing length= 3 ft/s; Rate of increasing…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: We have to find the area of rectangle increasing

Q: hypothetical cube shrinks so that the length of its sides are decreasing at a rate of 3 ft/min. At…

A: we have to find

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

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

Q: The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square…

A: Since the circle is enclosed inside the square, the area between the circle and the square will be…

Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

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Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: A certain bacteria culture grows at a rate proportional to its size. If 10,000 bacteria grow at the…

A: Given: A certain bacteria culture grows at a rate proportional to its size.

Q: The sides of a cube are increasing at a rate of 1cm/s. How fast is the diagonal of the cube changing…

A: Explanation: Given that,  The sides of a cube are increasing at a rate of 1cm/s. The objective is to…

Q: A balloon is 30 meters above the ground when a car, running at 40 kph, passes directly below it. It…

A: Given,         A balloon is 30m above the ground when a car, running at 40kph passes directly below…

Q: Two cars start moving from the same point. One travels south at 60 mi /h and the other travels west…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate 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: A hypothetical square grows so that the length of its diagonals are increasing at a rate of 8…

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Q: The radius of the circle is increasing at a rate of 1 meter per minute and the sides of the square…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

A:

Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

A:

Q: pushed

A: Given: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being…

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

A:

Q: If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the…

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Q: A 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

Q: The radius of the circle is decreasing at a rate of 5 meters per hour and the sides of the square…

A: Let a = side of the squre .       r = radius of the circleArea our side the circlebut inside the…

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…

A:

Q: A circle is inside a square.The radius of the circle is increasing at a rate of 3 meters per minute…

A: First, find the area outside the circle but inside the squareLet ‘s’ be the side of the square and…

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per hour…

A: Given circle is inside a square. Radius of circle is increasing at a rate of 1 mph. Side of square…

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 length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per minute…

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: Let the length of the rectangle be:  l  cm Let the width of the rectangle be:  w  cm

Q: A rectangle is growing in such a way that when its length is 5 ft and its width is 2 ft, the length…

A: