The volume of a cube decreases at a rate.1 of 15 m/sec. Find the rate at which the side of the cube changes when the side of the .cube is 5 m

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A: givenside of cube(a)=5mdadt=11m/secVolume of cube (v)=a3differentiating with respect to…

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Q: 1. The side of a cube increases at the rate of 23 m/sec. Find the rate at which the volume of the…

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Q: The volume of a spherical balloon changes with respect to the radius r. At what rate (in ft°/ft)…

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Q: A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the…

A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

Q: b. find Find the rate of the volume of a sphere with respect to its diameter D when the diameter is…

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Q: The radius of a sphere increases at the rate of 2 m/sec. Find the rate at which 5. the volume of a…

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Q: A water tank has a shape of an cylinder with a base radius of 4 m and a height of 24 m. If water is…

A: Given

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: given that radius of a sphere increases at a rate of 3m/sec find the rate  when radius is 9m

Q: Can i get help with this problem step by step

A: The surface area of the cube, S = 6x2 The volume of the cube, V = x3 We have given dS/dt = 72.

Q: The volume of a cube decreases at a rate of 12.1 m/sec. Find the rate at which the side of the cube…

A: we have to find the rate change of a side of cube

Q: The volume of a cube decreases at the rate of 74 m³/ sec. The rate at which the side of the cube…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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Q: The radius of a sphere decreases at a rate of 2 m/s. when the radius is 6 m, then the rate at which…

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Q: If the radius of a sphere increases at a rate of 1.5 m/sec, then the rate at which the volume of the…

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Q: on The radius of the sphere is decreasing at a rate of 2in/min. What is the rate of change of its…

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Q: The radius of a sphere increases at the rate of 4 m / sec. Find the rate at which the volume of a…

A: Rate of increase of volume using derivative

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Q: The edge of a cube decreases at a rate of 1.5m/s. Find the rate at which the surface area decreases…

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Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes…

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Q: The radius of a sphere decreases at the rate of 4 m/sec. Find the rate at which the volume decreases…

A: Given  Radius = 4 m  Rate of decrease of radius = 5 m/sec

Q: The radius of a sphere increases at the rate of 7 m/sec. Find the rate at which the volume of a…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A: Let the side of the cube be a m Then, given dadt=-7m/sec    (- sign indicates side is decreasing) To…

Q: The tank shown below is full of water. Recall that the density of water is 1000 kg/m². Suppose that…

A: Base(top) to height relation where 0≤x≤3 and 0≤y≤3 x=y So the rate volume is, ΔV = 8xΔy ΔV = 8yΔy…

Q: : B1. The radius of a sphere increases at the rate of 4 m/sec. Find the rate at which the volume of…

A: We have to find the rate of volume increase.

Q: The radius of a sphere increases at a rate of 6m/sec, then the rate at which the volume increases…

A: Let's find.

Q: The side ofa cube increases at a rate of 10 m/sec. Find the rate at which the volume of the cube…

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Q: 1. The side of a cube increases at the rate of 12 m/sec. Find the rate at which the volume of the…

A: Our guidelines for multiple questions,answer only first question For other answers , Repost this…

Q: The volume of a cube is increasing at a rate of 56 in3/sec. At what rate is the length of each edge…

A: It is given that volume of cube V=x3 rate of volume increasing at dVdt=56 in3/sec The edge of the…

Q: 1. The side of a cube increases at a rate of 2.5m/s. Find the rate at which the surface area…

A: Let x be the legth of a side and S be the surface area of the cube We know that   S=6x2 Given that…

Q: 2. The volume of a cube decreases at a rate of 10m/sec. Find the rate at which the side of the cube…

A: dVdt=10m3/min, side=2mFormula of volumeV= side3

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: The volume V=r° of a spherical balloon changes with the radius. a. At what rate (ft°/ft) does the…

A: Consider the given equation: V=43πr3 Where V is the volume and r is the radius. Differentiating the…

Q: The volume V = Tr of a spherical balloon changes with the radius. a. At what rate (in/in) does the…

A: Given: V=43πr3

Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 3 m, at what…

A: Given query is to find rate of change of surface are and volume when rate of chnage edge length is…

Q: The radius of a sphere decreases at a rate of 5 m/s. when the radius is 7 m, then the rate at which…

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Q: The volume of a cube increases at the rate of 59m3/sec The rate at which the side of the cube…

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Q: The radius of a sphere increases at the rate of 5 m/sec. Find the rate at which the volume of a…

A: Write the formula for volume of sphere and take derivative with respect to time t than put the given…