9. If the volume and radius of a sphere are functions of time,what is the relationship between the rate of change of thevolume of the sphere and the rate of change of the radiusof the sphere?

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A:

Q: the velocity of a particle is the rate of change in the position function over time true or false

A: We have to check

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Q: a snowball melts in such a way that the rate of change in its volume is proportional to its surface…

A: Please see the below pictures for detailed solution.

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Q: 16.Suppose that the dimensions of a cylinder change at constant rates: the radius of the base is…

A: Use the derivative and substitute the given values.

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Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A: Given that a company can produce 12,000 units when the number of hours of skilled labor y and…

Q: Find the rate of change. Volume of a cube with respect to its sides when s = 5

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Q: 3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at the…

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Q: 2. A tank with a shape of a cone is 20 feet deep and has a diameter of 10 feet at the top. Water is…

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Q: 2. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the…

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Q: If the rate of change in volume of a sphere is equal to its rate of change of its radius. What is…

A: if we let the radius of square = r unit then volume of the square =4/3 πr3 unit3

Q: A point is moving along the circle x2 + (y − 2)2 = 26 in such a way that its x-coordinate is…

A: Given:

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Q: What is the average rate of change of the height of the plant between Week 4 and Week 12, in inches…

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Q: The radius of a right circular cone is increasing at 3 cm/min whereas the height of the cone is…

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Q: If the area A = s of an expanding square is increasing at the constant rate of 8 square inches

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Q: A snowball melts in such a way that the rate of change in its volume is proportional to its surface…

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Q: 1 A conical tank (with vertex down) is 12 feet across the top and 12 feet deep. If water is flowing…

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Q: According to Boyle's law, which graph shows the relationship between the pressure (æ) and volume (y)…

A: option c is correct.

Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A:

Q: 2. The height and volume of a right circular cone change at the rates of 1 cm/s and -2 cm^3/s,…

A: Let's find.

Q: One ship approaching a port from the east. Traveling west at 15 miles per hour, and presently 3…

A: Solved below.

Q: 2. The volume and radius of a right circular cylinder change at the rates of 1 cm^3/s and -2 cm/s,…

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Q: Speed is the rate of change of velocity over time. True False

A: The given statement is, "Speed is rate of change of velocity over time"

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

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Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

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Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of…

A: Area of a right triangle is given by A = 12xy Rate of change of x is 2 units per minute i.e., dxdt =…