Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 16 cm??

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A: Given The side of square is increasing at rate of 2inches per minute.  The area of a square with…

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A:

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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:

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: Each side of a square is 6 ft and is increasing at a rate of 2 ft per second. How fast is the area…

A: By differentiating equation of area of square with respect to time and substituting the value of…

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Given: Since the height is decreasing.     To determine:

Q: The sides of an equilateral triangle are increasing at a rate of 12 inches per minute. At what rate…

A: Area of equilateral triangle A=/--3/4 a2 Here a = side of the equilateral triangle Differentiate A…

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: At what rate is water pouring into a rectangular bathtub with base 65 fť if the water level rises at…

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Q: A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

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

Q: A ladder 20 feet long leans against a house. What is the rate at the top of a ladder that is moving…

A: Given that ,      A ladder 20 feet long leans against a house. We have to calculate the rate at the…

Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

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Q: A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward…

A: Decreasing:- We know that if something is decreasing then it is going down.

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: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square…

A: Let,

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is…

A: Given that  The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Q: A sphere is filled with air. If the volume of the sphere is decreasing at a rate of 534 cubic cm per…

A: Given

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: Each side of a square is increasing at a rate of 6 cm/s. At  what rate is the area of the square…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Solution: Given that  A=160cm2 ,h=10cm and dA/dt= 2cm2/min  ,dh/dt=1cm/min

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: A ladder 10 feet long rests along a vertical wall. If the bottom of the ladder slides away from the…

A: To find the rate of change of the ladder's top changes with wall

Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

Q: A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A: GivenA 10-ft ladder is leaning against wall .{ HereAB is wallAC is ladder }Let the height of the…

Q: A 100-ft long cable of diameter 4 in. is subsequently submerged in seawater. Due to corrosion, the…

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Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

A: Let AB is h=5 m long ladder leaning against the wall AC. Distance between the bottom of the ladder…

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: A rectangle has one side of 10 cm. How fast is the area of the rectangle changing at the instant…

A: Given that: Let the one side of rectangle is (a) = 10 cm and the other side of rectangle is (b)= 18…

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Let the length of side of square be' a '

Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

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Q: he surface area of a cube is increasing at a rate of 122.2 cm2/s. At what rate is the side length of…

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Q: If the area of a square is increasing by 10 square inches per minute, how quickly is the length of…

A: Let us consider x inches be the side of the square. Area = x2. We are given that the area of the…

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: A light is hung 7m above straight horizontal path. If a man 2meters tall is walking toward a light…

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Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

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Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

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Q: A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with…

A: Given  The diameter of cylindrical vessel  dc=26 cm. The altitude of cylindrical vessel is H=500…

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: given that the area of a triangle(A)=140cm2 altitude(h)=20cm dh/dt=1cm/min dA/dt=2cm2/min let the…

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Consider the sides of the function of time:  The Area is increasing by 49 cm2/s The side increasing…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Given:Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the…

Exponential Growth Model

The relation that represents an exponential function is: