All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface area changing when each edge is 5 centimeters? cm?/sec (b) How fast is the surface area changing when each edge is 12 centimeters? cm2/sec

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Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 3 m³/min. How fast is the…

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Q: 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate…

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Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the…

A: The radius of the cylindrical tank is:  r = 3 m Volume of cylinder changes at a rate of 4 m3/min.…

Q: At a certain instant the dimensions of a rectangle are 8 and 12 feet, and they are increasing at the…

A: At a certain instant the dimensions of a rectangle are: Length L=8 feetWidth W=12 feet

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 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 surface…

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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: 3. A cylindrical tank of diameter 20ft is being drained with water at the rate of 400ft /min. How…

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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: 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

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A: Let the length of the ladder is L which is a fixed length. let the length of the base is y. and the…

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

A:

Q: All edges of a cube are expanding at a rate of 5 centimeters per second. (a) How fast is the volume…

A:

Q: 4. A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is…

A: We know  (V) volume of cylinder =πr2h. r= radius of cylinder h= height of cylinder  V= volume of…

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: A cylindrical tank with radius 3 m is being filled with water at a rate of 3 m³/min. How fast is the…

A:

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

A:

Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 2 m³/min. How fast is the…

A:

Q: cylindrical tank with radius 5m is being filled with water at a rate of 3m3/min. How fast is the…

A:

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 6 centimeters per second (a) How fast is the surface…

A: Rate of change of surface area is given by ds/dt = a . dA/dt Where a = edge length dA/dt =rate of…

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: 4. A rock thrown into a still pond and causes a circular ripple. If the radius of the ripple is…

A: Follow the procedure given below.

Q: A hypothetical square grows so that the length of its diagonals are increasing at a rate of 8…

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

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Q: An artist paints a portrait on a circular canvas and encloses it in a circular metal frame. At a…

A: Let the radius of the circular canvas be r.   The area of the canvas will be given by: A=πr2   Also,…

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

A:

Q: 19. A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is…

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Q: How do you solve question 1?

A: The relation between volume of a sphere and the its radius is given as, Where  V: Volume r: Radius

Q: 2. A cylindrical plastic container with a radius of 15 cm is being filled with orange juice at a…

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

A: Given that all edges of a cube are expanding at a rate of 7 cm per second. Let the edge of a sphere…

Q: at a certain instant, the dimensions of a rectangle are 8 and 12 feet and they are inreasing at the…

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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…

A:

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: A cylindrical tank with radius 5 m is being filled with water at a rate of 2 m3/min. How fast is the…

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Q: A spherical balloon is to be inflated so that its volume increases at a rate of 800m cm'/min. How…

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Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the volume…

A: Let , the edges of a cube=a cmall edges of a cube are expanding at a rate of 7 centimetres per…

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A: Solve the given problem

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 rate of 3 centimeters per second. (a) How fast is the volume…

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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…

A:

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: 2. The diagonal of a square increases at the rate of 3 m/sec. How fast is the area changing when the…

A: Let the length of diagonal be y. so that, Now, Length of the side of a square be x. Using the…

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…