Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the square is 16 cm2?

Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

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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: 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 (in cm2/s) is the area of the…

A: we know square area, A = a2  , where a = side of square  To find the solution , we will…

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

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Q: A spherical drop of liquid evaporates at a rate proportional to its surface area. If a given drop…

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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

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: A light is hung 15 ft above a straight horizontal path. if a man 6 ft tall is walking away from the…

A: Solution :x=distance from lights=length of shadowlet,height of light,D=15 ftheight of…

Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

Q: The rate at which bacteria multiply is proportional to the instantaneous N numbers present. If the…

A: Let y(t) represents the number of bacteria present in the culture after t hours. Let the initial…

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

A: Area of triangle= 12b hb= baseh=height

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: If the volume of a different sphere is increasing at a rate of 24 cubic inches per minutes and the…

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Q: The height of a triangle is increasing at a rate of 4 cm/s while the area of the triangle is…

A: Let the height, base and area of a triangle be 'h', 'b' and 'A' Given, dhdt=4 cm/sdAdt=56 cm2/s

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: A person stands at the end of a pier 8 ft above the water and pulls in a rope attached to a buoy. If…

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Q: The length of a rectangle is increasing at the rate of 2 feet per second, while the width is…

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

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

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Q: Two cars start moving fr km/hr. At what rate is the

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

Q: The surface area of a cube is increasing at a rate of 349.9 cm/s. At what rate is the side length of…

A: We have to find the rate of change in side

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm2/s) is the area of the…

A:

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: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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

A: Given,                     Each side of a square is increasing at a rate of 6 cm/s. The area of the…

Q: The rate at which bacteria multiply is proportional to the instantaneous Number Present. If the…

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Q: A spherical drop of liquid evaporates at a rate proportional to tis surface area. If a given drop…

A: Given: The drop evaporates to 18 of its volume in 5 minutes

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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

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Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

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 5-ft tall person walks away from a 20-ft tall streetlamp at a constant rate of 3 ft/s . at which…

A: Let us denote: x= distance of the person from the post y=length of the shadow Given that, dx/dt=3 ,…

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…

A:

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…

A:

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: The top of a 18 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

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Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

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Q: The volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge…

A: Given that the volume of a cube is increasing at a rate 56 in3/sec and the edges are 8 in. long. It…

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…

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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…

A: RECALL: Area of the square , A= a2 ; where 'a' is the side of the square. Volume of the cylinder,…

Q: How fast is the surface area of a cu

A: Given that : Edge of a cube = 30 cm Th edge changing at the rate of 3 mm per second.

Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing…

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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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