All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume changing when each edge is 2 centimeter(s)? cm/sec (b) How fast is the volume changing when each edge is 15 centimeters?

Q: 3. The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

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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: The volume of a right circular cylinder is 60 cm3 and is increasing at 2 cm3/min at a time when the…

A: First we have to differentiate expression of volume with respect to time.

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

A: We have given change in edge with respect to time is 2cm/sec.  We have to find the changes in…

Q: 1. Water is flowing at the rate of 2 m3/min into a tank in the form of an inverted cone having an…

A: It is given that the cone has altitude 16 m and radius 4 m. That is, hcone=16,rcone=4. Let r and h…

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: Suppose the radius of a sphere is increasing at a rate of 5 in/second.  At what rate is the surface…

A: Given that radius of a sphere is increasing at an of 5 in/sec. Let r be the initial radius of the…

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 hand-tossed pizza crust starts off as a ball of dough with a volume of 400πcm^3. First, the cook…

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

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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: 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: All edges of a cube are expanding at a rate of 6 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 5 centimeters per second. (a) How fast is the volume…

A:

Q: The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

A: Let r be the radius of spherical ballon

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: Given : The radius of the cylindrical tank is 3 m. Water is filled at a rate of 4 m3/min

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: 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 6 m is being filled with water at a rate of 2 m/min. How fast is the…

A:

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

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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: A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the balloon’s…

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Q: A cylindrical tank with radius 8 m is being filled with water at a rate of 3 m3/min. How fast is the…

A: It is known that the volume of the cylinder is V=πr2h where r is radius and h is height. Given that…

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…

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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: stone dropped into a pond sends out a circular ripple whose radius increases at a constant rate of…

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

A:

Q: A spherical balloon is inflated so that its radius increases at a rate of cm/sec. How fast is the…

A: Volume of the sphere is given by:  V = 43πr3

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: 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 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 6 centimeters per second. (a) How fast is the volume…

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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 volume…

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

A: Given:         radius of cylinder (r)=5m         rate of water filled dvdt=4m3/minwe know that…

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

A:

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

A:

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

A: Let's find.

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: 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: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

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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: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

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