The side of a cube is increasing at a rate of 2 mm/s. How fast is the volume Q4. - increasıng when the side is 10 mm?

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

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Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

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Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the…

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Q: A cube has sides that are increasing at a rate of 10 cm/s. At what rate is the volume increasing…

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: It would be best to express length, width, and area as functions of time. I’ll set x = width, y =…

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the…

A: Given that the diameter= 100 mm So the radius is=r=1002=50 mm Given that the radius of a sphere is…

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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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…

A: Here we want to find how fast is the length of the side is decreasing under a volume change of 3…

Q: A large icecube that is 4cm on each sode is melting in a jug of lemonade at the rate of 3cm3 per…

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

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

A: The objective is to find the rate at which the length of each edge of the cube is changing when the…

Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 4 m, at what…

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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Q: The side of an equilateral triangle is increasing at the rate of 3 cm/s. What is the rate at which…

A: We can solve the given problem by using the following concept of differentiation. Let f(x) be the…

Q: . The volume of a cube is increasing at a rate of 10 cm³/min. How fast is the surface area…

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

Q: The radius of an bubble is increasing at the rate of 1/2 cm/s. At what rate is the volume of the…

A: Here  radius of bubble is given and rate of change of radius of bubble is also given

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

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Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

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Q: 1000 liters of water per second is filled into the square prism-shaped tank with a base edge of 10…

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. (a) How fast is the volume increasing when…

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Q: The original 24 m edge length x of a cube decreases at the rate of 5 ​m/min.   a. When x=5m, at what…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

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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 = 1 m, at what…

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Q: The radius of a sphere is increasing at a rate of 4 mm /s. How fast is the volumeincreasing when the…

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Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: We know for rectangle, Area (A) = Length (l) × width (w) So, rate of change of area, (dA/dt) =…

Q: An edge of a variable cube is increasing at the rate of 10cm/sec.How fast the volume of the cube is…

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

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Q: A rectangle has one side of 10 cm. How fast is the area of the rectangle changing at the instant…

A: Given that: Let the one side of rectangle is (a) = 10 cm and the other side of rectangle is (b)= 18…

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and it’s width is increasing at a rate…

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

A: It is given that, the volume of a cube is increasing at the rate of 6 cm3/min.   The objective is to…

Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

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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: The side of a cube is increasing at a rate 9m/s, then the rate at which the volume of the cube…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. The…

Q: THE RADIUG OF A SPHEPE IS INCREASING ATA RATE OF 4 mm/s. HoW fAST IS THE VOLUME INCREASING WHEN THE…

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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…

A: Here, We need to find a) The rate at which cube's surface area change when x=5 m b) The rate at…

Q: The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of…

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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: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

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

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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: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

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Q: The radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the…

A: Given that the radius of a sphere is increasing at a rate of 4mm/s. That is, Now consider the…