The volume of a cube is increasing at a rate of 60 in/sec. At what rate is the length of each edge of the cube changing when the edges are 6 in. Ilong? (Recall that for a cube, V = x³.) in/sec

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A: option A is correct detailed solution with explanations given below

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Q: The volume of  a cube is increasing at a rate of 9 feet3/sec . how fast is the surface area…

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Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

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A: (a)Given:

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A: Given : Volume a cube is increasing at a rate of 10 cm³/min.

Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

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Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: To calculate the required rate of change using partial derivatives

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Q: If the volume of a cube is increasing at a rate of 24 in'/min and each edge is increasing at 2…

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Q: The volume of a cube is increasing at the rate of 8 cm /sec.How fast is the surface area in creasing…

A: We can find the answer as below

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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:

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Q: The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x = 4 m, at what…

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Q: The volume of a cube is growing at a rate of 2 in3/min. Determine the rate at which the surface of…

A: Given:The volume of a cube is growing at a rate of 2 in3/min, that is dVdt=2 in3/min, where V is the…

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

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Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. What rate does the…

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A: To determine the change of rate of the volume of cylinder.

Q: The volume of the cube is increasing at the rate of 8 cm3 /sec.how fast is the surface area…

A:

Q: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the cone is…

A: given: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the…

Q: The volume of a cube is increasing at the rate of 9 cm3 /  sec. How fast is the surface area…

A:

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

A: Given that volume of a cube is increasing at the rate of 8cm3/sec find out the fastness in the…

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