3. Sand falls from a conveyor belt at the rate of 12 m onto the top of a conical pile. The height of the min pile is always three-eighths of the base diameter. How fast is the height changing when the pile is 2 m high?

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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: 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: 10. A large ice cube that is 4cm on each side is melting in a jug of lemonade at the rate of 3cm per…

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Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

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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

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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: 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…

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Q: A sphere is filled with air. If the volume of the sphere is decreasing at a rate of 534 cubic cm per…

A: Given

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: How fast is the circumference of a circle changing if the radius is changing at the rate of 3 mm/s?

A: Solution

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: An ice cube that is 3 cm on each side is melting at a rate of 2 cm3 per min. How fast is the length…

A: Given: Length of cube L=3cm Rate of melting =-2cm3

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

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

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: 1. Sand being dumped from a funnel forms a conical pile whose height is always one￾third the…

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Q: 1. A conical paper cup 4 inches across the top and 4 inches deep is full of water. Since there is a…

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Q: 4. A rock thrown into a still pond and causes a circular ripple. If the radius of the ripple is…

A: Follow the procedure given below.

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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: 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: 3) A camera is located on the ground 3000 ft from the spot where a rocket takes off. If the rocket…

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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: 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: 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: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

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

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Q: The radius of a sphere, initially zero, increases at the rate of 6 ft per second. How fast the…

A: Given ,The radius of a sphere , initially zero , increases at the rate of 6 per second.The volume is…

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 hypothetical square grows at a rate of 8 m^2/min. How fast are the diagonals of the square…

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Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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Q: A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a…

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Q: a kite 100 ft ft above the ground moves horizontally at a speed of14ft/s. at what rate is the…

A: If you like the solution then please give it a thumbs up..... The Answer is:     Result = - 0.035…

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 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 4 centimeters per second. (a) How fast is the surface…

A: From the given data: The rate of expanding of a cube is 4cm/sec

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: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

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Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

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Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the…

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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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Q: 1. A tank is shaped like an upside-down pyramid, with a base of 4 meters and a height of 12 meters.…

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Q: How do you solve question 2?

A: Let x= horizontal distance y= vertical distance Given that dx/dt=1 ft/sec We have to find dy/dt at…