5. The volume of a cube is increasing at a rate of 10 cm³/min . How fast is the surface area increasing when the length of an edge is 30 cm?

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Q: Suppose the edges of a cube are increasing at a constant rate of 8 m/hr. Then, the volume of the…

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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: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 9.9 cm/s?…

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Q: The length of a rectange is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the surface…

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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: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 14.1…

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Q: A hypothetical cube grows so that the length of its sides are increasing at a rate of 4 ft/min. How…

A: As we know that the volume of the cube is: V=a3 Where, 'a' is the side of the the cube.   Given: a=4…

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

A: Given:                                 Volume of a right circular cylinder V…

Q: 3 The volume of a cube is increasing at the rate of 8 cm³/sec.How fast is the surface are increasing…

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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

Q: If the length of the edge of a cube is increasing at a rate of 3cm/s, how fast is the volume of the…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: The volume of  a cube is increasing at a rate of 9 feet3/sec . how fast is the surface area…

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Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at…

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Q: A trough whose cross section is an equilateral triangle is 6 m long and 2 m wide across the top. If…

A: Solve by diagram and using formulas of equilateral triangle

Q: . The volume of a cube is increasing at a rate of 10 cm³/min. How fast is the surface area…

A: Given : Volume a cube is increasing at a rate of 10 cm³/min.

Q: The radius of an bubble is increasing at the rate of 1/2 cm/s. At what rate is the volume of the…

A: Here  radius of bubble is given and rate of change of radius of bubble is also given

Q: The original 24 m edge length x of a cube decreases at the rate of 5 ​m/min.   a. When x=5m, at what…

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Q: An ice cube that is 3 cm on each side is melting at a rate of 2 cm3 per min. How fast is the length…

A: Given: Length of cube L=3cm Rate of melting =-2cm3

Q: If the volume of a cube is increasing at a rate of 24 in'/min and each edge is increasing at 2…

A: The volume of cube is given by V=a3 where a edge of cube. Given that volume of cube increasing at a…

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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

A: It is given that dsdt=6 cms. It is known that V=s3. Differentiate the above equation with respect to…

Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 4.6 cm/s?…

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Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 14.8…

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Q: 2. Suppose that the bottom of a conical shaped tank of water has been ruptured. At the instant when…

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Q: 26. The volume of a cone is increasing at a rate of 10cm3/min How fast is the surface area…

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Q: 17. If the radius of a sphere is increasing at the constant rate of 3 inches per second, how fast is…

A: Given: The radius of the sphere is increasing at the constant rate of 3 inches per second. To find:…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: 14. If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at…

A: To find the rate

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: 3. The volume of a cube is increasing at the rate of 6 cm³/min. How fast is the surface increasing…

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Q: A cube's volume increases at a rate of 108 ft3/min. At what rate is the cube's edge length changing…

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Q: The volume of a cube is increasing at the rate of 1200 cm3/min at the instant its edges are 20 cm…

A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

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

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

Q: If the original 24 m edge length x of a cube decreases at the rate of5 m/min, when x = 3 m at what…

A: Given: S the surface area of the cube, x the length of the cube and the length x of the cube…

Q: The volume of a cube is increasing at the rate of 6 cm/min. How fast is the surface area increasing…

A: It is given that, the volume of a cube is increasing at the rate of 6 cm3/min.   The objective is to…

Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

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Q: The edge x of a cube is measured with an error of at most 0.5%.What is the maximum corresponding…

A: Given: Let x be the edge of the cube with an error of 0.5%.

Q: Suppose that a cube's volume increases at a constant rate of 2 m. How fast are it's sides growing at…

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Q: If the original 24 m edge length x of a cube decreases at the rate of5 m/min, when x = 3 m at what…

A: If the original 24 m edge length x of a cube decreases at the rate of5 m/min, when x = 3 m at what…

Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. What rate does the…

A: Here, We need to find a) The rate at which cube's surface area change when x=5 m b) The rate at…

Q: The volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge…

A: Given that the volume of a cube is increasing at a rate 56 in3/sec and the edges are 8 in. long. It…

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

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Q: The volume of the cube is increasing at the rate of 8 cm3 /sec.how fast is the surface area…

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Q: How fast is the surface area of a cu

A: Given that : Edge of a cube = 30 cm Th edge changing at the rate of 3 mm per second.

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

A: Given that, All edges of a cube are expanding at a rate of 6 centimeters per second. Thus, dxdt=6…