A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the balloon receding from the observer after 8 seconds? 2. Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in diameter and 6 m high. How fast is the water level rising? 3. How fast is the surface area of a cube changing when the edge is 30 cm. If the edge is changing at the rate of 3 mm per second? 4. A man 1.8m tall walks away from a lamp post 4m high at a speed of 1.5 m/s. How fast is his shadow lengthen ?

Q: 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate…

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Q: 1. The side of a cube increases at the rate of 23 m/sec. Find the rate at which the volume of the…

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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…

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Q: Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section…

A: The situation is as shown below: Consider a small differential element of water at a height of h…

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

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Q: The radius of a perfect sphere is lengthening at a rate of 0.5 cm per second. Two questions: (a) How…

A: Surface area of sphere S = 4π r2 Volume of sphere V = (4/3) π r3

Q: 1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 8. If a snowball melts so that its surface area decreases at a rate of 4 cm2 /min , find the rate at…

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Q: 3 The volume of a cube is increasing at the rate of 8 cm³/sec.How fast is the surface are increasing…

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Q: 8. The radius of an inflating balloon in the shape of a sphere is changing at a rate of 3cm/sec. At…

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Q: Problem 27

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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…

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

Q: Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in…

A: Given: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm…

Q: Water is being released from a conical reservoir (vertex down) 20 ft in radius and 40 ft deep at a…

A: Use similar triangle to shoe that  r/20 = h/40 where r and h are the radius and height of water in…

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 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: 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: 5. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: How fast is the surface area of a circular oil spill in the ocean changing when the radius is 10ft…

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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: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A: Area of square = a2 Where a is length of side of square.

Q: 1. A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft.³ per…

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

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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 surface…

A: we know that surface area of cube is , S = 6 •  a 2  Here a is side of cube .

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

A: All edges of a cube are expanding at a rate of 2 centimeters per second.

Q: 1. Water is flowing into a vertical cylindrical tank at the rate of 24 cu. ft. per min. If the…

A: Given , Water is flowing into vertical tank at rate if 24 cu .ft . per min. Radius of tank is 4ft.…

Q: Suppose that a drop of mist is a perfect sphere and that, through condensation, the drop picks up…

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Q: 1.) Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top.…

A: step by step clear explanation is given .Have a look

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: (b) Water runs into a conical tank at the rate of 9 m /min. The tank stands point down and has a…

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Q: at what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec?

A: The volume of a cube is: Where, a is the edge of the cube. Formula used:

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

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Q: 27. A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is…

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Q: 3. The volume of a cube is increasing at the rate of 6 cm³/min. How fast is the surface increasing…

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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…

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Q: (5) A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If…

A: we know that, the volume of conical shape, V = 1/3πr^2h  so after defernciate this, we will solve…

Q: A pyramid-shaped vat has a square cross-section and stands on its tip. The dimensions at the top are…

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Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate…

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Q: All edges of a cube are expanding at a rate of 9 centimeters per second. (a) How fast is the volume…

A: To find how fast the volume changing  when edge is 5cm and 12cm :

Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the volume…

A: Let , the edges of a cube=a cmall edges of a cube are expanding at a rate of 7 centimetres per…

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

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Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

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Q: 5. A cone-shaped ice cream is melting at the rate of 2cm/s in a manner that maintains its original…

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Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

Q: 2. A tank of water in the shape of a square pyramid is leaking water at a constant rate of 4…

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

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