If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at which the diameter decreases when the diameter is 12 cm

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

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Q: Coffee is draining out of a conical filter at a rate of 2.25 in3>min. If the cone is 5 in tall…

A: Given: The change in volume for the filter is -2.25 in3/min The change in volume for the coffee pot…

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

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: At JCS Construction Plant, cement mixture is falling off a metal conveyor and onto an inverted…

A: Given: Cement mixture is falling off a metal conveyor and onto an inverted conical pile at a rate of…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of  6cm/min.…

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Q: The volume of a cube is increasing at a rate of 64 in/sec. At what rate is the length of each edge…

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Q: The side of a cube decreases at a rate of 8 m/sec. Find the rate at which the volume changes, when…

A: given that a side of cubedecreases at a rate of 8m/sfind the rate at which the volume changes when…

Q: The lengths of the edges of a cube are increasing at a rate of 1 ft/min. At what rate is the surface…

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Q: If a ball of candy is covered in chocolate and is melting so that its surface area decreases at a…

A: To find: The rate at which diameter decreases when diameter is 10 cm. Given: The rate of surface…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at…

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

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

A: Solve using increasing & decreasing function.

Q: The volume of a cube is increasing at a rate of 60 in/sec. At what rate is the length of each edge…

A: The objective is to find the rate at which the length of each edge of the cube is changing when the…

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

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Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

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Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

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Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: Topic:- application of derivatives

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

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

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

A: As we know that; The expression of the surface area of the cube is: As=6a2        ....(1) Where;…

Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

A:

Q: If the area of a healing wound changes at a rate given approximately by dA 4 for 1 <t<10 is in days…

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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: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

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Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3 /min. If the radius of the base is…

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Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

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

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

Q: at what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec?

A: The volume of a cube is: Where, a is the edge of the cube. Formula used:

Q: The volume of a sphere is increasing at a rate of 40 cm^3/sec. At what rate is the radius ofthe…

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

A:

Q: The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x = 4 m, at what…

A: As Given :                   The length x of Cube decrease at a rate of 2 m/min.…

Q: A cube is expanding in such a way that the length of its diagonal is increasing at a rate of 5…

A: Let y be the diagonal, x be the length of an edge and V be the volume of the cube at any time t.…

Q: A car braked with a constant deceleration of 18 ft/s2, producing skid marks measuring 100 ft before…

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

A: Given,Surface area is decreasing at rate = 3 cm2 per minDiameter of the snowball (d) = 11 cm

Q: The volume of a cube is increasing at a rate of 64 in ³/sec. At what rate is the length of each edge…

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Q: How long (in hours) would it take to fill a city water tank that has an inside diameter of 120 feet…

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Q: paper cup has the same shape of a cone with the height of 8cm and a radius 3cm (at the top). If…

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Q: The volume of a cube is increasing at a rate of 68 in3/sec. At what rate is the length of each edge…

A: Given Volume of cube increasing at a rate of 68 in3/ secTo the rate of change of length of each edge…

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

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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 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…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.