All edges of a cube are expanding at a rate of 6 centimeters per second (a) How fast is the surface area changing when each edge is 3 centimeters? om2/sec (b) Ho fast is the surface area changing when each edige is 13 centimeters cm?/sec

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

A: Surface area of cube = 6x2Where x is the edge of the cube

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m3/min. How fast is the…

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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: 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: A spherical balloon is inflated at a rate such that it's radius increases at a rate of 500…

A: rate of change in volume = 307876.08 detailed solution with explanation is given below

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 6 centimeters per minute. Draw an accurate  picture…

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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: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the…

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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: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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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: 46. An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

A: Here it is given that;  The length of the rectangle is twice as long as it is wide.  Let the width…

Q: A circle is inside a square. The radius of the circle is decreasing ata rate of 5 meters per minute…

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Q: Oil from an uncapped well is radiating outward in the form of a circular film on the surface of the…

A: Let r and A be the radius and area of the circle respectively at time t. The radius of the circle is…

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

A: Find your answer below

Q: A 6-ft-diameter cylindrical tank is filled with water to a height of 10 ft. It is drained such that…

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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…

A:

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: 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: All edges of a cube are expanding at a rate of 5 cm/sec. Let the length of the edge be denoted by x.…

A: (a) all the edges of the cube expanding at the rate 5cm/sec Here length of the edge denoted by x and…

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture…

A:

Q: A stone dropped into a still pond on a calm day sends out a circular ripple. If the radius increases…

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: A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the…

A: A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the…

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

A: It is given that dsdt=6 cms. It is known that V=s3. Differentiate the above equation with respect to…

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 circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A:

Q: 6. A thin circular plate made of gold changes size when heated, but remains in a circular shape. The…

A: Let r be the radius of the circular plate.Then, the area, A=πr2Given that dAdt=2 cm2/min

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

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Q: 4 THE LENGTH OF A TRIANGLE LL INCREASING ATA RATE OF 8cm/s AND ITS WIDTH IS INCREASING AT A RATE OF…

A: SOLUTION-

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

A:

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

A:

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

A:

Q: A cylindrical tank with radius 5 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 9 centimeters per second. How fast is the volume…

A:

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

A:

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: 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: Suppose that a cube's volume increases at a constant rate of 2 m. How fast are it's sides growing at…

A:

Q: All edges of a cube are expanding at a raete of 6 centimeters per second. How fast is the surface…

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: All edges of a cube are expanding at a rate of 6 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. 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…