When the side a of a cube increases with time t, the change in volume dt - O a. da За- dt O b. da За?. dt da 3 dt O d. За?

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

A: Surface area of cube = 6x2Where x is the edge of the cube

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: Consider the side of a cube which decreases at the rate of 9 m/sec. The objective of the problem is…

Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing…

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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: Side of a cube decrease at rate of 7m/s Rate of change in volume?

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Q: 2. All edges x of a cube are expanding at a rate of 8 centimeters surface area changing when each…

A: To solve the following problem, we use the given formula if S is equal to surface area then S = 6x2…

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula 12πr. V dV…

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

A: We have to find the rate of change of surface area.

Q: dv If the volume of the cube increases at the rate of 15 m / sec, then the value of is dt dv dV a) =…

A: Find the value value of rate of increase of volume of a cube

Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 25 km/h and ship B is sailing…

A: The below diagram represents the pictorial representation of the given problem.The position of the…

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

A: All edges of a cube are expanding at a rate of 8 centimeters per second.  Let the edge of a cube = x…

Q: If the radius of a right circular cylinder increases and the height h of the cylinder changes in…

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Q: Assuming a constant temperature, match the change in volume that a gas occupies to the change in the…

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Q: 2. The volume of a cube is increasing at the rate of 6 cm /min. How fast is the surface area…

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

A: (a)Given:

Q: The edge of a square is increasing at the rate of 3 cm / sec. At what rate is the area of the square…

A: Here is the question of application of derivatives So here let's assume that, Side of square = x…

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Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: Given that: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet…

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

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Q: Let l be the length of a diagonal of a rectangle whose sides have lengths a and y, and assume that a…

A: let l be the diagonal of a rectangle and x and y are the length and breadth of a rectangle  as we…

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

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

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: 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 volume (v) of a sphere varies directly with the cube of its radius (r). If k is the constant of…

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Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the surface…

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Q: The edges of a cube are expanding at a rate of 6.452 centimeters per second. How fast is the surface…

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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 side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: To find the rate of change of volume

Q: The fixed sides of an isosceles triangle are of length 6 cm. (See the figure.) If the sides slide…

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Q: The length of the side of a cube is increasing at the rate of 5 centimeters per minute. At what rate…

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: 11. At what rate is the volume of the cube changing if the edge is 8 cm and is changing at 4 cm/s?

A: As we know that; The expression for the volume of the cube with the edge length ''a'' is: v=a3…

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

Q: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…

A: Explanation of the answer is as follows

Q: The side of a cube is increasing at a rate 9m/s, then the rate at which the volume of the cube…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. The…

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

A: Differentiate volume of cube wrt t

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: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A: From the given data: The rate of expanding of a cube is 4cm/sec

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

A:

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A:

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate…

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Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing…

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