At what rate is water pouring into a rectangular bathtub with base 65 fť if the water level rises at a rate of 1.1 ft/min?

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Q: A rectangular trough is 10ft. long and 3ft. wide. Find how fast the surface rises, if water flows in…

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Q: Find the rate at which the water level is rising when the water level is 2 cm.

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Q: 8. If a snowball melts so that its surface area decreases at a rate of 4 cm2 /min , find the rate at…

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Q: The sides of a square increase in length at a rate of 5 m/sec. a. At what rate is the area of the…

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Q: A trough is 10 ft long and its ends have the shape of isoscelestriangles that are 3 ft across at the…

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Q: Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in…

A: Given: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm…

Q: If the rate of change of the surface area of a sphere with respect to its radius is 16pi sq cm, find…

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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…

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Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

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Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Suppose , y is the distance from the home and x is the distance from first base. Given that ,…

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Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3 /min. If the radius of the base is…

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

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A: let the side of the square is a meter, and the area is A given that da/dt=3m/sec a. a=15m area of…

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: at what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec?

A: The volume of a cube is: Where, a is the edge of the cube. Formula used:

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A: If the ocean is opening at a rate of 3 cm/year, then we have to find how much wide will the ocean be…

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

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Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

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Q: A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At which rate is the angle…

A: Given,  Consider the height of the lite from the ground is 100 ft. The speed is dxdt=8 ft/s. To find…

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

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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: At what rate is water pouring into a rectangular bathtub with base 73 ft² if the water level rises…

A: Given : The base of rectangular bathtub = 73ft2 The rate at which water level is rising = 1.2…

Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: It is required to find the rate at which water level is rising in the given trough whose sides are…

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

A:

Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2.  And , d=2r.  Using this we solve…

Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A:

Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Let the volume of the water in the trough at time be V. The rate of change of V is,

Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

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Q: 5 If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at…

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