The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing? cm2/s

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Q: The length of a rectange is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A: Let the side of the square be 'x' cm. Therefore the area of the square is given by: A=x2

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: We have to find the area of rectangle increasing

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Given: The length of a rectangle is increasing at a rate of  9cm/s and its width is increasing at a…

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

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Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: We need to find reat of change of area.

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A: Explanation: Given that,  The sides of a cube are increasing at a rate of 1cm/s. The objective is to…

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A: Let length = x feet and width = y feet  Given that dx/dt= 2 and dy/dt= 1

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: Consider the given situation, Let the length of the rectangle be ‘l’ and breadth be ‘b’.Area of…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: It is the application of Derivative.

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

A: Solution:-

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

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A: Given,  A ladder slides down a vertical wall at a rate of 0.675 m/s  When the bottom of the ladder…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: An ice cube that is 3 cm on each side is melting at the rate of 2 cubic cm per min. How fast is the…

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and it’s width is increasing at a rate…

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Q: A 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

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Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

A: The calculation are as follows

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: Let the length of the rectangle be:  l  cm Let the width of the rectangle be:  w  cm

Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the…

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Q: The radius of a sphere, initially zero, increases at the rate of 4 feet per second. Find how fast…

A: Solution :Given  the adius of a sphere, initially zero, increases at the rate of 4 feet per…

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Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

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Q: The volume of a cube is increasing at the rate of 2 cubic inches per minute. How fast is the surface…

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Q: The radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the…

A: Given that the radius of a sphere is increasing at a rate of 4mm/s. That is, Now consider the…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: We have to find