Surface Area All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface area changing when each edge is (a) 2 centimeters and (b) 10 centimeters?

Q: A board 10 feet long slides down a wall. At the instant the bottom end is 8 feet from the wall, the…

A: Pythagoras theorem: Hypotenuse2=Base2+Perpendicular2 Product rule of differentiation: (fg)'=fg'+gf'…

Q: A cable is to be run from a power plant on one side of a river 600 m wide to the factory on the…

A: Note: According to the guideline only one question will be answered please upload remaining one…

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per minute…

A: Given:- A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters…

Q: A particle moves in a straight line with velocity 8 – 2t ft/s. Find the total displacement and total…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and…

A: Here in this question both the radius of circle as well as sides of square are changing with respect…

Q: A circle is inside a square.The radius of the circle is increasing at a rate of 5 meters per day and…

A: To find the rate of change of area enclosed between the circle and the square.

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 2.5 cm/minute while the area of…

A: For a triangle with given base ‘b’ and altitude ‘a’ the area ‘A’ is.

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

A: We have to find the change of surface area of a cube while it is given that all edges of a cube are…

Q: Water flows from a storage tank at a rate of 300 - 3t liters per minute. Find the amount of water…

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Q: 4. Water leaking onto a floor forms a circular pool. The area of the pool increases at a rate of 25n…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Water flows from a storage tank at a rate of 300 - 7t liters per minute. Find the amount of water…

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Q: Water is flowing at the rate of50 m3/min from a shallow concrete conical reservoir (vertexdown) of…

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Q: MY A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall,…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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Q: decreasing when it is 2 in. thick? How fast is the outer surface area of ice decreasing?

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Q: 21. The radius of a spherical balloon is increasing at the rate of 3 centimeters per minute. How…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per hour…

A: Area of circle=πr2 Area of square=a2, where a is the side of the square.

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A: Given that, A brine solution of salt flows at constant rate of 5L/min, initial volume is 100L, and…

Q: A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt…

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Q: A particle moves in a straight line with velocity 12 – 4t ft/s. Find the total displacement and…

A: Let v(t)=(12-4t)ft/s

Q: Draining a tank Water is drained from a 3000-gal tank at a rate that starts at 100 gal/hr and…

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

Q: A tank contains 100 litres of brine in which 20 gm of salt is dissolved. Brine containing 3 gm /…

A: Here I am attaching image so that you understand each and every step. A tank contains brine=100…

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

A: Consider the length of edge of a cube be 'a. The volume of a cube is given by 'V'. The edge of a…

Q: Water is poured into an initially empty large pool at a rate of 2 m3/min. The pool has an upper…

A: Trapezoidal pool, A. L = length = 30mw1 = width at bottom = 20mw2 = width at top       = 40mH   =…

Q: Air is being pumped into a spherical balloon at a rate of 5 cm/min. Determine the rate at which the…

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Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A: A tank contains 100L solution in which 0.3 kg of salt was dissolved.  Let, x(t) be the mass of the…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day…

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Q: Sand falls from a conveyor belt at a rate of 14 m3/min onto the top of a conical pile. The height of…

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Q: Gravel is being dumped from a conveyor belt at rate of 10 ft°/min. It forms a pile in the shape of a…

A: We will solve the problem

Q: Rate of inflation of a balloon A spherical balloon is inflated ata rate of 10 cm3/min. At what rate…

A: Given:             Rate of inflation of spherical balloon is 10cm3/min.

Q: Gravel is being dumped from a conveyor belt at a rate of 10 ft/min. It forms a pile in the shape of…

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Q: Water flows from a storage tank at a rate of 300 – 7t liters per minute. Find the amount of water…

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Q: area of a square is increasing at a rate of 1 sq cm/s. How fas diagonal increasing when the area of…

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Q: Alight is placed on the ground 12 meters from a building. A man 2 meters tall walks from the light…

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Q: Surface Area All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and…

A: Area of circle Ac = r2  Rate of change of radius is    And radius = 3 Area of square As = side² Rate…

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 2.5 cm/minute while the area of…

A: NOTE: Refresh your page if you can't see any equations. . let h=altitude and b=base the area of the…

Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

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Q: Photic zone In contrast to the situation described in the pre- vious exercise, in parts of New York…

A: The Beer Lambert law states that the amount of light that penetrates to a depth of x meters in an…

Q: Tea leaves are placed in a cup of hot water. Caffeine is infused into the water at a rate of 15…

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Q: Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4…

A:

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 3 cm/minute while the area of…

A:

Q: Bacteria population initially contains 130 bacteria and the population grows at a rate of 6% every…

A: We can model the bacteria population using an exponential equation.     According to the data…

Q: Sand falls from a conveyor belt at a rate of 10 m° / min onto the top of a conical pile. The height…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 4 meters per day…

A:

Q: Water flows from a storage tank at a rate of (500 − 5t) liters per minute. Find the amount of water…

A: Given: 500-5t

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day…

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Q: A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall, the…

A: Given: Length of ladder is 20 ft. sliding down a wall. Distance of the bottom end from the wall is…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per day…

A: