The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change of the area when r = 30 centimeters.   _________________cm2/min

Q: 3. The bottom of a 10 foot ladder slides away from a wall. Let r be the distance (in feet) of the…

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Q: The radius of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change…

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Q: A man of height 1.9 meters walks away from a 5- meter lamppost at a speed of 1.5 m/s. Find the rate…

A: Let Bc represents the lamp post and MN represents man. Then BC=5m, MN=1.9 m Let MC=x , MA=y Since,…

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Q: Related Rates: (a) A spaceship leaves it launch pad at a speed of 8 miles per min. Spectators stand…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 15 Grade A water tank in the form of an inverted cone is being emptied at the rate of 2 cubic feet…

A: From the given problem the representative diagram is shown below:   Let x is the radius and y is the…

Q: 11. Area The radius $r$ of a circle is increasing at a rate of 4 centimeters per minute. Find the…

A: The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of…

Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

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Q: A A child flies a kite at a height of 80 ft, the wind carrying the kite horizontally away from the…

A: The height of the kite( h, say), the horizontal distance of kite (x, say), and the distance between…

Q: An isosceles triangle has legs 10 cm. The base decreases at the rate of 4 cm/sec. Find the rate of…

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Q: 2. An isosceles triangle has legs 10 cm. The base decreases at the rate of 4 cm/sec. Find the rate…

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Q: The radius of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change…

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

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Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

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Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A: We sketch the situation roughly Given that ds/dt= 200 mph , we have to find dx/dt=? at s=10

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Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

A: Given, Bacteria are reproducing in the concentric rings. The circular area occupied by the bacteria…

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 2 ft/min.…

A: As we know that the area of the circle is: A=πr2     ...(1) Where 'r' is the radius of the circle.…

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A: Let the horizontal distance the airplane covered be x. Thus, the speed of the airplane will be dxdt.…

Q: Ladder against the wall again A 12-foot ladder is leaningagainst a vertical wall when Jack begins…

A: Given that, Ladder against the wall again A 12-foot ladder is leaningagainst a vertical wall when…

Q: Question The base of a triangle is shrinking at a rate of I1 cm/s and the height of the triangle is…

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Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

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Q: 19) A wire has to be formed into a circle. When the wire is heated, the length of the wire increases…

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Q: The radius r of a sphere is increasing at a rate of 8 centimeters per minute. (a) Find the rate of…

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Q: The radius r of a circle is increasing at a rate of 3 centimeters per minute. (a) Find the rate of…

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Q: A crowd gathers around a movie star, forming a circle. The radius of the crowd increases at a rate…

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Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is…

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Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

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Q: 8. A dock is 6 feet above water. Suppose you stand on the edge of the dock and pull a rope attached…

A: Let AB=t      BC=x

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 14 ft/sec 12 ft…

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Q: Distance Between Two Cars A car leaves an intersection traveling east. Its position t sec later is…

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Q: The radius r of a circle is increasing at a rate of 4 centimeters per minute. (a) Find the rate of…

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Q: A car traveling at the rate of 20m/s is approaching an intersection. When the car is 100 meters from…

A: Situation can be easily understood by using the figure:

Q: The two radii of the frustum of a right circular cone are increasing at a rate of 9 centimeters per…

A: The two radii of the frustum of a right circular cone are increasing at a rate of 9 centimeters per…

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

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Q: The radius r of a circle is increasing at a rate of 2 centimeters per minute. (a) Find the rate of…

A: we have given, The radius r of circle is increasing at the rate of 2 cm per min. i.e.  dA /dt=2

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A: Given,            An airplane flying at an altitude of 6 miles passes directly over a radar antenna.…

Q: The radius of a circle is increasing at a rate of 8 centimeters per minute. Find the rate of change…

A: We know  Area of circle = πr2  r= radius of circle

Q: A child flies a kite at a height of 70 ft, the wind carrying the kite horizontally away from the…

A: The child flies a kite at a height of 70 feet, the wind carrying the kite horizontally away from the…

Q: The radius r of a sphere is increasing at a rate of 9 inches per minute. (a) Find the rate of change…

A:

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

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Q: 2. An isosceles triangle has legs 10 cm. The base decreases at the rate of 4 cm/sec. Find the rate…

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Q: please help i'm studing random plobems on my own for practice and I can't understand this at all.

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Q: A cone shaped tank has radius of 6 feet and height of 10 feet. The water is flowing into the tank at…

A: The radius and height of the conical tank are 6 feet and 10 feet respectively. Let r and h be the…

Q: The radius r of a sphere is increasing at a rate of 8 inches per minute. (a)  Find the rate of…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: We can find the rate of change of base wrt time as below

Q: Related Rates A rock is thrown into a still pond. The circular ripples mové outward from the point…

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Q: A rectangular water tank is being filled at the constant rate of 28 cubic meters per second. The…

A: Given:A rectangular water tank bing filled at a constant rate of 28 cubic meters per second.The base…

Q: The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rate of change…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…