7. A spherical balloon is being filled in such a way that the surface area is increasing at a rate of 20 cm2/sec when the radius is 2 meters. At what rate is air being pumped in the balloon when the radius is 2 meters?

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Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: I will use the formula V=13πr2h and differentiation method to solve this problem.

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A: Volume of a sphere of radius r isV=43πr3

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Q: 8. The volume of a right circular cylinder is 60 cm³ and is increasing at 2 cm³/min at a time when…

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Q: Suppose the edges of a cube are increasing at a constant rate of 11 m/hr. Then, the volume of the…

A: Let the side of the cube = x Edges of the cube increasing rate dx/dt = 11 m/hr

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A: Area of square = a2 Where a is length of side of square.

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

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Q: 3. Water is flowing out of a cylindrical storage tank at a rate of 2m/min. If the tank has a radius…

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Q: 4 THE LENGTH OF A TRIANGLE LL INCREASING ATA RATE OF 8cm/s AND ITS WIDTH IS INCREASING AT A RATE OF…

A: SOLUTION-

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Q: 10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

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Q: (5) A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If…

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: 3. The area of a circular inkblot starts from zero and grows at a constant rate of 4n cm/minute.…

A: Use the derivative and formula for area of circle.

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Q: A bacterial cell is spherical in shape. If the radius of the cell is increasing at the rate of 0.01…

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Q: Suppose that a spherical balloon is being inflated and the radius of the balloon is increasing at a…

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Q: 7, If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: To find the rate of decreasing of the volume when the radius is 10 cm.

Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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Q: 4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm…

A: Given: 4) Question is wrong (Some values are missed) 5) dxdt=10 ft/sec, h=100 ft, and l=125 ft