P.-, A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 47r') with the respect to the radius r when r is (i) 1 ft, (ii) 2 ft and (iii) 3 ft. What conclusion can you make?

Q: At what rate (in in3>s) is soda being sucked out of a cylindrical glass that is 6 in tall and has…

A:

Q: A kite is flying at a height of 40 ft. A boy is flying it so that it is moving horizontally at a…

A: Given: Kite is moving horizontally at a rate of 3 ft per sec. To determine: The rate at which the…

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…

A:

Q: Of a rectangle are chonging at the tates of 1m/s and 2m/s. Sides its When its sides are 30 m and Ao…

A:

Q: 1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the…

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: A 10​-ftladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: -10 10 t Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank…

A:

Q: Water is pouring into the conical vessel 15 cm deep and having a radius of 3.75 cm across the top.…

A:

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: A spherical balloon is being inflated. Find the rate (in ft2/ft) of increase of the surface area (S…

A:

Q: 9. At what rate is soda being sucked out of a cylindrical glass that is 6 in. tall and has a radius…

A: Volume of the cylinder ,V=πr2h ; where 'r' is the Radius and 'h' is depth of the cylinder.

Q: The altitude (,) of a right circular cylinder is always equal to the diameter (a) of the base. Find…

A:

Q: Gas is escaping from a spherical balloon at the rate of 3 cm3/min. Find the rate at which the…

A: The relation between surface area S and volume V of sphere is given by V=13S r where r is radius of…

Q: A right trianglewith dimensions of X = 3 cm and y =4cm.if Cx) is increasing at arate of 2 cml sec…

A: We will find the rate of change in z

Q: A hemispherical dome has a diameter of 100 m. A searchlight was placed at a point A located at the…

A:

Q: Beginning at rest, an automobile drives around a circular trackof radius R = 300 m, accelerating at…

A: Given :           radius R = 300 m           Acceleration = 0.3 ms2           Coefficient of…

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A:

Q: A balloon's volume is increasing at 15 ft /sec at the same moment as its surface area is increasing…

A:

Q: What is the rate of change of the volume of a ball (V = (4/3)pai r3 ) with respect to the radius…

A:

Q: As a spherical raindrop falls, it reaches a layer of dry air and begins to evaporate at a rate that…

A: To show that  the radius of rain drop decrease at a constant rate That is to show drdt  is a…

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

A: Given : The radius increases at a rate of 4 cm/sec. The radius is 10 cm.

Q: A large conical tank of height H being filled with water by a hose at the top of the tank at a rate…

A: given: A large conical tank of height H=9 feet and radius R=3 feet is being filled with water by a…

Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A:

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

A:

Q: 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base is…

A:

Q: The radius of a sphere is increasing at the rate of 2 meters per se of change of the volume with…

A: Given: The radius of a sphere is increasing at the rate of 2 meters per second.

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

A:

Q: Q7|| A conical tank of circular base is used to store water. The diameter of its base is 6ft and its…

A: Given the conical tank has a circular base. The diameter of the circular base is 6 ft and the height…

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into…

A: This is application of derivative problem

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: Assume that the radius ? of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is…

A:

Q: ce of a circle is increasing at a rate of 2 cm/s. rea increasing when r= 6 cm?

A: We have to choose the correct answer from the given options according to the given information

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4ar2 )…

A:

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

A: The surface area is

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: Water is running out of a conical funnel at the rate of 1 in3/ sec. If the radius of the base of the…

A:

Q: 3) Consider the fonction (a) The tangent plare to the graph of fCx,y) at the point Co,0) is (b) At…

A:

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 25-ft ladder is leaning against a house when its base starts to side way. By the time the base is…

A: Consider h is the height, and b is the base, ladder's length be 'L' apply the Pythagoras theorem,…

Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect…

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of…

Q: The radius of a circle increases at a rate of 1 m/sec. Then the rate at which the area of the circle…

A:

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: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

A:

Q: The centripetal force of an object of mass is given by F(r) where v is the speed of rotation and r…

A:

Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's…

A: