Area of a Balloon A spherical weather balloon is beinginflated. The radius of the balloon is increasing at the rate of2 cm/s. Express the surface area of the balloon as a functionof time t (in seconds).

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A: Definition used-                      Area of a circle having radius r -…

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Q: 7. The radius of a sphere is decreasing at a rate of 4 in / min . Sketch what is happening. a. b.…

A: (a) The surface area is decreasing as the radius is decreasing.

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A: Given: Cx=10000+5x-x210000 ; x=1000

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A: Please refer to the image below

Q: Volume The radius of a right circular cylinder is given by √t + 2 and its height is 12√t,where t is…

A: Given: Volume The radius of a right circular cylinder is given by √t + 2 and its height 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: cm3 A spherical snowball is melting at a rate of 9.3- min How rapidly is the radius decreasing when…

A: Radius is decreasing by 0.009 cm/min.

Q: A giant spherical snowball is placed in the sun. The sun melts the snowball so that its surface area…

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Q: Disappearing Mothball The rate at which the volume of a mothball evaporates from solid to gas is…

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Q: Volume The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rates…

A: We have drdt=3 (a) V=43πr3⇒dVdt=43π3r2drdt=43π3r23=12r2

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: Given that Newton's law of cooling states that the temperature of an object changes at a rate…

Q: A cube has an edge of 5 feet. The edge is increasing at the rate of 3 feet per minute. Express the…

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Q: 18) when a circular play the metal is heated in an oven it’s radius increases at a rate of 0.01…

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Q: A cube has an edge of 3 feet. The edge is increasing at the rate of 6 feet per minute. Express the…

A: Given : A cube has an edge of 3 feet and  edge is increasing at the rate of 6 feet per minute. To…

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A: Given:

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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: A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per minute. Express the…

A: Given,          A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per…

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A: To find: The rate of increase in area at the instant when the diameter is measured at 1.5 cm. Given:…

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Q: A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate…

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Q: Snowflakes land randomly on a small area of the ground at a rate of 16 per minute. Let X be the…

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Q: . Area of a Balloon A spherical weather balloon is being inflated. The radius of the balloon is…

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Q: A cube has an edge of 4 feet. The edge is increasing at the rate of 2 feet per minute. Express the…

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Q: a spherical weather ballon is being inflated. the radius of the balloon is increasing as the rate of…

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Q: A cube has an edge of 3 feet. The edge is increasing at the rate of 6 feet per minute. Express the…

A: Given data: Edge of cube is 3 feet. Edge is increasing at the rate of 6 feet per minute. Let m be…

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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: Area. Suppose the area of a circle is decreasing at a rate of3m2/sec, the rate of change of the…

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Q: 13) A container in the shape of an inverted right circular cone, contains a liquid which is being…

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Q: cm3 How rapidly is the radius decreasing when the min A spherical snowball is melting at a rate of…

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Q: f. initial value of 200 decreasing at a rate of 4% Function f. g: initial value of 40 increasing at…

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Q: ] = concentration of react= , = initial concentration o: * = rate constant t = time

A: Introduction: To condense an algebraic equation by grouping and combining related terms or to reduce…

Q: A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate…

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Q: A giant spherical snowball is placed in the sun. The sun melts the snowball so that its surfface…

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Q: A cube has an edge of 4 feet. The edge is increasing at the rate of 5 feet per minute. Express the…

A: Given,          A cube has an edge of 4 feet. The edge is increasing at the rate of 5 feet…

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Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t…

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Q: Melting snowball A spherical snowball melts at a rate propor-tional to its surface area. Show that…

A: Let the radius of the spherical snowball be r. Then the volume (V) of the spherical snowball is: V =…