An ice cube is growing 0.2cm per minute. Find rate surface area changes when length is 8cm

Q: A cubical crystal is growing in size. Find the approximate change in the length of a side when the…

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Q: The edges of a cube increase at a rate of 2cm/s. How fast is the volume changing when the length of…

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Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: A thin sheet of ice is in the form of a circle. If the ice is melting, at what rate is the radius…

A: Given a thin sheet of ice is in the form of a circle. And the area is 12 square inches.Let the area…

Q: find the rate at which the volume of a right circular cylinder of constant altitude 10 feet changes…

A: Given  Altitude=10feet We need to find the rate at which the volume of a right circular cylinder…

Q: At JCS Construction Plant, cement mixture is falling off a metal conveyor and onto an inverted…

A: Given: Cement mixture is falling off a metal conveyor and onto an inverted conical pile at a rate of…

Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

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Q: The rate of change of the area enclosed between the circle and the square is squa meters per hour.

A: First find difference in area between square and circle then differentiate wrt t

Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: we have given that Gas is being pumped into a spherical balloon at the rate of 10 cubicinches per…

Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm/min, find the rate at…

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Q: Find the rate at which the surface area of the water changes when the water is 10 ft high if the…

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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: The side of a cube decreases at a rate of 8 m/sec. Find the rate at which the volume changes, when…

A: given that a side of cubedecreases at a rate of 8m/sfind the rate at which the volume changes when…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at…

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Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

A: Solve using increasing & decreasing function.

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

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Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

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

A: The rate of increase of the width of a rectangle i.e. dwdt=2 cm/sec The rate of increase of the…

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

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Q: a feed ts trough 1128 inches long Crošs - section as shoun. Is 4200 cubic inches of enough to nas…

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Q: a snowball melts so that its surface area decreases at a rate of3 cm¯/min, find the rate atwhich th…

A: Surface Area of a spherical ball is  A=4πr2 where 'r' is the radius of the ball.

Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

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Q: The width of a rectangle is increasing at a rate of 5 cm/sec, while the length increases at 6…

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Q: If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at what…

A: (a)Given:

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

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Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

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Q: The side of a cube increases at a rate of 2.5m/s. Find the rate at which the surface area increases…

A: As we know that; The expression of the surface area of the cube is: As=6a2        ....(1) Where;…

Q: Find the surface area of a sphere at the instant when the rate of increase of the volume of the…

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Q: An ice cube in a freezer is growing due to accretion, each edge is increasing by 0.2 cm per minute.…

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Q: A cube is expanding at the rate of change 64 m³/s. What is the rate of change of its surface area…

A: This question is based on application of derivative.

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: A boy is blowing a spherical balloon at a rate of 50cm3/s. At what rate is the radius of the balloon…

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Q: The radius of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of change…

A: We can find the answer as below using the given data.

Q: What is the average rate of change of the height of water in the vase with respect to the volume of…

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Q: Find the rate of change of volume of a sphere with respect to its surface area when the radius is 2…

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Q: spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute.

A: Volume of the sphere is V=43πr3where r = radius of the sphere

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: 14. If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at…

A: To find the rate

Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

Q: a. If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

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Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2.  And , d=2r.  Using this we solve…

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: Find the rate of change. Volume V of a cylinder with respect to radius if the height is equal to the…

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Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

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Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

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Q: All the edges of a cube are expanding at a rate of 1/6 cm/sec. Determine the rate of change of the…

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Q: 5 If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at…

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