The sides of an equilateral triangle are increasing at the rate of 3 cm/min. Find the rate of the perimeter and the rate of change of the area when the side is 3 cm long.

Q: The length x of a rectangle is decreasing at a rate of 5cm/seconds and the width y increasing at a…

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

A: Given that, Area of square is  25cm2    Area A = x2 Where x is the side length. The area of square…

Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the…

A: Given query is to find the rate of chnage of diameter.

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at…

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: 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: 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: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

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Q: The volume of a cube is increasing at a rate of 60 in/sec. At what rate is the length of each edge…

A: The objective is to find the rate at which the length of each edge of the cube is changing when the…

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given            The pressure at 70 feet=140

Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a…

A:

Q: The volume of a cube decreases at a rate of 0.6 ft° /min. What is the rate of change of the side…

A: Since you have not mentioned I am answering 2nd Question. Given:Volume of a cube decreases at a rate…

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: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

A:

Q: One airplane is approaching an airport from the north at 203 km/hr. a second airplane approaches…

A: Let in the below figure P represents the airport, Q represents the southbound plane and R represents…

Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

A: Given that  The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute.…

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: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A: Topic = Volume

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 of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included…

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between…

Q: The length l of a rectangle is increasing at a rate of 7 cm divided by sec while the width w is…

A: Given:-             The length l of a rectangle is increasing at a rate of 7 cm/ sec while the width…

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Consider the provided information, Let x and y be the traveled by the cars after time t. We can…

Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: What is the average rate of change of the height of water in the vase with respect to the volume of…

A:

Q: The length l of a rectangle is decreasing at a rate of 2 cm divided by sec while the width w is…

A: Given,           dldt=-2cm/s           dwdt=+2cm/s(a) Area, A=lw              dAdt=ddt(lw)…

Q: If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

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

A:

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate at…

A: To find the rate at which the diameter decreases when the diameter is 12 cm and surface area…

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

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

Q: The sides of a cube increase at a rate of K cm/s. When the sides have a length of 2 cm, the rate of…

A:

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

A: Given: Length of the ladder, l=5 ft. Distance between wall and the bottom of the ladder, x=4 ft…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given,Surface area is decreasing at rate = 3 cm2 per minDiameter of the snowball (d) = 11 cm

Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a…

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:

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 pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given information:

Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate…

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is…

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

A:

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

A: If the area of a square, A, is x2 units , then the length of its side is x unit .

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

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

A:

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

A: Suppose that the length of rectangle is “l” and width is “w”   So according to the question, dwdt=2…

Exponential Growth Model

The relation that represents an exponential function is: