A spherical balloon is inflated with gas at a rate of 14 cubic feet per minute. 1. How fast is the radius of the balloon changing at the instant the radius is 1 foot and 5 feet? (a)    1 foot  (B)   5 feet

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A: Here in this question both the radius of circle as well as sides of square are changing with respect…

Q: (8) A baseball diamond has the shape of a square with sides of 75 feet long. A player running from…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

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Q: 6. A spherical balloon is being inflated so that its diameter is increasing at a rate of 2 cm/min.…

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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: A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the…

A: "Since you have asked multiple questions,we will solve first question for you. If you want any any…

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

A:

Q: All edges of a cube are expanding at a rate of 5 centimeters per second. (a) How fast is the volume…

A: Rate of expansion of edges of a cube= 5 cm/sec

Q: 11. A ladder is leaning against a wall when its base begins to slide along the floor, away from the…

A: Let the length of the ladder is L which is a fixed length. let the length of the base is y. and the…

Q: 46. An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

A: Here it is given that;  The length of the rectangle is twice as long as it is wide.  Let the width…

Q: 1. A spherical hot air ballooon is bieng inflated at a rate of 1.5 cubic feet per second. a) Find…

A: Given that a spherical hot air balloon is being inflated at a rate of 1.5 cubic feet per second.…

Q: MY A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall,…

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Q: All edges of a cube are expanding at a rate of 5 centimeters per second. (a) How fast is the volume…

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Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

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Q: 21. The radius of a spherical balloon is increasing at the rate of 3 centimeters per minute. How…

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

A: Area of circle=πr2 Area of square=a2, where a is the side of the square.

Q: 39. How fast is the volume of the cube changing at the moment that the cube has a side length of 8…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume…

A: This question is based on application of derivative

Q: 4. A water trough is 8 m long, and a cross section has the shape of an isosceles triangle that is…

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Q: 5. A spherical balloon is inflated so that its volume is increasing at the rate of 2 m'/min. At what…

A: Let r be the radius of the balloon and D be the diameter.

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the volume…

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Q: A tree trunk is approximated by a circular cylinder of height 50 meters and diameter 4 meters. The…

A: Volume of cylinder = πr2h r = radius of cylinder h= height of cylinder

Q: Suppose you are drinking root beer from a conical paper cup. The cup has a diameter of 8 cm and a…

A: Given, The diameter of a conical paper cup is 8 cm Therefore, the radius of the cup is 4 cm The…

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: 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: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the volume…

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Q: 6. A thin circular plate made of gold changes size when heated, but remains in a circular shape. The…

A: Let r be the radius of the circular plate.Then, the area, A=πr2Given that dAdt=2 cm2/min

Q: A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall, the…

A:

Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the volume…

A:

Q: 7. A spherical balloon is being filled in such a way that the surface area is increasing at a rate…

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Q: 4. A solid cylindrical cord of elastic material has length 32 inches and radius 0.5 inch. The cord…

A: Given:        Length  l=32 inches        radius  r=0.5 inch      Volume of a cylinder  V=πr2l…

Q: 2. The radius of a sphere is decreasing slowly at the rate of 2 cm/week. How fast is the volume…

A: Consider the given information. The volume of the sphere is defined as, V=43πr3

Q: 3. A (right circular) cylinder is expanding in such a way that its height is increasing three times…

A: Given: dhdt=3drdt when h=5inches          r=3 inches        dhdt=12 Find dVdt

Q: 4. Water flowing in a conical tank 20 ft deep and 10 ft across the top at the rate of 15 cu. ft/…

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Q: 5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing…

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Q: 1. A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute,…

A: The given question can be solved as shown in step2.

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 circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and…

A: Area of circle Ac = r2  Rate of change of radius is    And radius = 3 Area of square As = side² Rate…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 5 meters per minute…

A:

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…

A:

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: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 5 meters per…

A: Let r be the radius of circle ands be the length of the side of squareGiven: drdt=-5 and ds/dt=5Let…

Q: 23.) A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How…

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

A:

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

A:

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

A: For a increase in the rate , we will take the positive value and for the decrease in the rate, we…

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

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per hour…

A: We need to find rate of change of area.