1. The side of a cube decreases at a rate of 2.5m/s. Find the rate at which the surfacearea decreases when the side is 10 m.

Q: B. How rapidly will the water level inside a vertical cylindrical tank if we pump the water out at…

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Q: If a snowball melts so that its surface area decreases at a rate of 8 cm2/min, find the rate (in…

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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: The base radius, r, of a cylinder is decreasing at a rate of 0,2cm/s while its height, h, is…

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: If the radius of a sphere is increasing at a constant rate of 2 cm/sec, then the volume 3 is…

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Q: b. find Find the rate of the volume of a sphere with respect to its diameter D when the diameter is…

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Q: Suppose that a given moment, the radius of a right circular cylinder is 2 cm and increasing at a…

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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: 11. If the base of a triangle is constantly 4 cm, find the rate at which the area of the triangle is…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2. The edge of a cube decreases at a rate of 2.5m/s. Find the rate at which the surface area…

A: Application of derivatives.

Q: If a ball of candy is covered in chocolate and is melting so that its surface area decreases at a…

A: To find: The rate at which diameter decreases when diameter is 10 cm. Given: The rate of surface…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given query is to find the rate of change of height of water.

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

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Q: 2): The side of a cube decreases at a rate of 6 m/sec. Find the rate at which the surface area of…

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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: The edge of an expanding cube is changing at the rate of 2.3 cm/s at the instant its edge is 18.3 cm…

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of…

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: If the rate of change of the surface area of a sphere with respect to its radius is 16pi sq cm, find…

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Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at…

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Q: If the radius of a right circular cylinder increases and the height h of the cylinder changes in…

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Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: Volume of the sphere , V=43πr3

Q: If the volume of a different sphere is increasing at a rate of 24 cubic inches per minutes and the…

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Q: If a snowball melts so that its surface area decreases at a rate of 2 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 9 cm2/min, find the rate at…

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Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm/min, find the rate (in…

A: Given  Decreasing rate of surface area = 3cm2/min To find: the rate of decreasing of diameter when…

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: If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate (in…

A: Let the diameter be D cm and radius be r cm  The surface area S of the the sphere in term of…

Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 2 cm/s?

A: To find the rate at diagonal of a cube is increasing

Q: 12) A vertical cylinder is leaking wader at a rate I ft3% If the cylinder har a height of 10t Sec.…

A: Volume of cylinder = πr2h  r= radius of cylinder  h= height of cylinder

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: 3) If a spherical snowball melts so that its surface area decreases at a rate of 1 cm? he rate at…

A: It is given that a spherical ball melts so that its surface area decreases at a rate of 1 cm2 per…

Q: The edge of a cube decreases at a rate of 1.5m/s. Find the rate at which the surface area decreases…

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Q: The side of a cube decreases at a rate of 2.5m/s. Find the rate at which the surfacearea decreases…

A: solution is given below

Q: If the sides of a square increase in length at a rate of 3 in/s, then the rate of change of the…

A: Let the side length of a square be x Now, Side length increases at a rate of 3in/s. That is, dxdt=3…

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

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

Q: The kinetic energy K of a mass is proportional to the square of its velocity y. If K = 12,960 joules…

A: To determine the kinetic energy.

Q: 1. The side of a cube increases at a rate of 2.5m/s. Find the rate at which the surface area…

A: Let x be the legth of a side and S be the surface area of the cube We know that   S=6x2 Given that…

Q: If the original 24 m edge length x of a cube decreases at the rate of5 m/min, when x = 3 m at what…

A: Given: S the surface area of the cube, x the length of the cube and the length x of the cube…

Q: If the radius of a sphere increases at a rate of 0.5 m/sec, then the rate at which the volume of the…

A: Let the radius of the sphere be r. Then the volume of the sphere is: V=43πr3…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given information:

Q: If a snowball melts so that its surface area decreases at a rate of 5 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: 18. If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change…

A: Topic:- Application of Derivative  Correct option = a

Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

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

A: Given query is to find rate of change of surface are and volume when rate of chnage edge length is…