A cube is expanding in such a way that the length of its diagonal is increasing at a rate of 5 inches per second. When its edge is 4 inches long the rate at which its volume is increasing is ________ in 3/sec.

Q: The volume of a cube decreases at the rate of 84 m /sec. The rate at which the side of т the cube…

A: To find the rate at which the side length of cube changed when side is equal to 8 m/s

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

A:

Q: 2. Oil leaks from a damaged, stationary oil tanker at the rate of 30 m3/hr, forming a circular oil…

A: The instantaneous rate of change is the differential of the variable. The rate of change of one…

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 2…

A:

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 60cm³/s. How…

A: To find the rate at which surface area is changing

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A:

Q: 8. Air is being pumped into a spherical balloon so that its volume increases at a rate of 36cm/s.…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

A: Given Radius is decreasing at rate 0.4cm /min and given radius = 10cm

Q: A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius…

A: Rate of Radius of outer ripple increasing = 1 ft/sec                    Radius = 4 feet

Q: Water is pouring into an inverted cone at the rate of 8 cubic meters per minute. If the height of…

A:

Q: How fast is the volume of a sphere changing when the radius is 20 cm if the radius is changing at…

A: We will find the rate of change of volume of sphere at a given radius.

Q: Air is being pumped into a spherical balloon so that its volumeincreases at a rate of 100 cu. cm /s…

A:

Q: The side of a cube increases at the rate of 6 m/sec. The rate at which the volume of the cube…

A: Given, The side of a cube increases at the rate of 6 m/sec. The side of the cube is 4 m is m³/sec.

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given: Radius, r=18 cm Rate of decreasing in radius drdr=0.4 cm/min

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A:

Q: 63. Prove that the rate of change of the volume of a spherewith respect to its radius r is equal to…

A: GIVEN the rate of change of the volume of a spherewith respect to its radius r is equal to the…

Q: Water is flowing into a conical cistern at the rate of 8 m^3/min. If the height of the inverted cone…

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

A: Volume of the sphere , V=43πr3

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

A: The question is from the Application of Derivatives

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

A:

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm3/s. How…

A: Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm3/s. To…

Q: #Ś A spherical balloon is filled with helium at a rate of 200 cmsec.At the moment when the radius is…

A: we have to find the rate change of surface area of the spherical balloon

Q: The volume of a sphere is increasing at the rate of 6 cm3/hr. at what rate is its surface area…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A: The volume of a sphere of radius  r unit is given by the relationship ; V=43πr3 And the rate of…

Q: A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft At what…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A: Using, Volume of a sphere of radius r is V =…

Q: An edge of a variable cube is increasing at the rate of 10cm/sec.How fast the volume of the cube is…

A:

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: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A:

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

A:

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: 3. A square is expanding in such a way that its diagonal is increasing at the rate of 2 in/s. (a) At…

A: Diagonal of Square = √2 * Side Perimeter of Square = 4* Side Area of Square = (Side)^ 2

Q: The Volume of a Sphere is increasing at the rate of 8 m³; how fast is its Radius increasing when the…

A:

Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: Let's find.

Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the- radius of the…

A: The volume of a cylinder is given by the formula V=πr2h. Where, V-volume, r-radius and h is the…

Q: A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day.…

A: we know that surface area of sphere is S=4πr2   As per our guideline, we supposed to answer only the…

Q: B. The dimensions of a rectangular solid at a given instant (to) are (a = 13 cm), (b = 9 cm) and (c…

A:

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: 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: 17. Air is being pumped into a spherical balloon at a rate of 10 cm3/min. Determine the rate at…

A:

Q: A spherical balloon is being filled in such a way that the surface area is increasing at a rate of…

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…

A: Given problem:- How fast is the volume of a cube changing when the edge is 15 cm if the edge is…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A:

Q: a-) The sides of a square increasing at a rate of 10 cm /sec. How fast the area enclosed by the…

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Q: 18 Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = s°V2…

A: Given that the volume of a tetrahedron is: 1442cm3 So, V=112s32 So, 112s32=1442⇒s3=123⇒s=12

Q: The altitude of a right circular cone is 15 in, and is increasing at 0.2 in/min.  The radius of the…

A: Given, the altitude of a right circular cone,y=15 inch the radius of the cone,x=10 inch rate of…

Q: - Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = 2 (all…

A:

Exponential Growth Model

The relation that represents an exponential function is: