All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface area changing when each edge is 6.5 centimeters?

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: Suppose the radius of a sphere are expanding at a rate of 6 inches per minute. How fast is the…

A: Let us suppose the radius of sphere be R. Given that :   dRdt=6 incheminute.  Radius=Diameter2=122=6…

Q: The edges of a cube are expanding at a rate of 5cm per second. How fast is the volume changing when…

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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 surface…

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

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Q: A cube has sides that are increasing at a rate of 10 cm/s. At what rate is the volume increasing…

A: Valur=?

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

A: All edges of a cube are expanding at a rate of 8 centimeters per second.  Let the edge of a cube = x…

Q: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

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

A:

Q: hypothetical cube shrinks so that the length of its sides are decreasing at a rate of 3 ft/min. At…

A: we have to find

Q: rectangular parallelepiped with an altitude of 10 cm have its width decreasing by 2 cm/min and…

A: Topic:- application of derivatives

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

A:

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

A:

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

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

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 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: 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: The volume of a cube is increasing at a rate of 9 cubic centimeters per second .How fast is the…

A: Solution:-

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

A:

Q: A fire has started in an open field and is spreading in the form of a circle, with its radius…

A:

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

A:

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

A:

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A: Given: A stone dropped into a still pond sends out a circular ripple whose radius increases at 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: 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: The volume of a cube is increasing at the rate of 6 cm/min. How fast is the surface area increasing…

A: It is given that, the volume of a cube is increasing at the rate of 6 cm3/min.   The objective is to…

Q: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…

A:

Q: as a balloon in the shape of a sphere is being blown up, the volume is increasing at the rate of 4…

A: Volume of the sphere Shape ballon: V = 4/3ℼr3   (r = radius)   Now differentiate with respect to L,…

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: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…

A: Explanation of the answer is as follows

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. 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: 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 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 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…