All edges of a cube are expanding at a rate of 6 cm per second. How fast is the volume changing when each edge is 2 cm?

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

A: Surface area of cube = 6x2Where x is the edge of the cube

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

A: GivenAll edges of a cube are expanding at a rate of 9 centimeters per second

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

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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 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 surface…

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Q: Suppose that the sides of a cube are expanding at a rate of 2 inches per minute. How fast is the…

A: all details are given in below. please check it

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

A: We have to find changing the surface area

Q: A screen saver displays 3 cm x 5 cm and then expands it in such a way that the length of the longer…

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Q: Suppose the sides of a cube are expanding at a rate of 2 inches per minute, How fast is the volume…

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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: 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: How fast is the area of the circle of the ripples expanding at the instant that the radius of the…

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Q: rectangular parallelepiped with an altitude of 10 cm have its width decreasing by 2 cm/min and…

A: Topic:- application of derivatives

Q: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

A: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

Q: The sides of a cube are increasing at a rate of 1cm/s. How fast is the diagonal of the cube changing…

A: Explanation: Given that,  The sides of a cube are increasing at a rate of 1cm/s. The objective is to…

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 8 mm per hour. At what rate is the volume of the cube…

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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…

A: The volume of cube is given by V=a3 where a edge of cube. Given that volume of cube increasing at a…

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 6 centimeters per second. How fast is the volume…

A: It is given that dsdt=6 cms. It is known that V=s3. Differentiate the above equation with respect to…

Q: The radius of a particular circle increases at 1 millimeter each second. As a result, its area…

A: Solved below

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

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Q: If the tank is completely full, how much is overflowing if 530 GPM is being taken off the bott

A: Given: Let the rate of filling be Qin = 1250 GPM  the rate of draining be Qdrain = 530 GPM Because…

Q: Sand is accumulating in a conical pile with a radius that is always 3 times its height. If the sand…

A: Given: A conical pile with radius 3 times its height. r=3h Rate of change of velocity of sand…

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

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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: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…

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

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

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

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

A: Explanation of the answer is as follows

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

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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: 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: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

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: 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: The radius of a sphere, initially zero, increases at the rate of 4 feet per second. Find how fast…

A: Solution :Given  the adius of a sphere, initially zero, increases at the rate of 4 feet per…

Q: A 5m long ladder has its upper end leaning against a vertical wall and lower end on a perfectly…

A: To determine the rate at which the ladder is moving down in cm/sec when the lower end is 3 m away…

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

A: Given that, All edges of a cube are expanding at a rate of 6 centimeters per second. Thus, dxdt=6…