The volume of a cylinder of height 10 inches and radius r inches is given by the formula V 10rr2 AP -? dt Which is the correct expression for- AP 20Tr- dr dh dt dt dt dV dr 20ar- dt dt AP dt 20rr dt AP dt dr 10rr?. dt %3D AP dt Suppose that the radius is expanding at a rate of 0.2 inches per second. How fast is the volume changing when the radius is 2.2 inches? Use at least 5 decimal places in your answer. answer: cubic inches per second

Q: The volume of a cylinder of height 11 inches and radius r inches is given by the formula V 11πr?. dV…

A:

Q: The average energy E (in kcal) needed for a lizard to walk or run distance of 1 km has been modeled…

A: Given that      The average energy E(in kcal) needed for a lizard to walk or run a distance of 1 km…

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12². dV…

A: Given query is to find rate of change of volume.

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A:

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A: The speed of the first snail s1 is 2 mm/sec. The speed of the second snail s2 is 3 mm/sec faster…

Q: Each side of square is increasing at rate of 4 cm/s. At what rate is the area of the square…

A:

Q: The average energy E (in kcal) needed for a lizard to walk or run a distance of 1 km has been…

A: Energy needed for a lizard to walk or run a distance of 1 km is modeled by the below equation. Here…

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

A:

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: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At…

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: let the length of rectangle is l cm and width is w cm area of rectangle is(A) =lxw differentiate…

Q: The volume of a cube is changing at a rate of 24 cm3/sec. How fast is the side expanding when each…

A: V= s3 is given , we can differentiate with respect to time at substitute each value to get at what…

Q: The side of a cube increases at the rate of 3 m/s, when side of the cube is 8m . Then the rate of…

A:

Q: A country's share of medals at an Olympic games can be estimated from the formula: f(r, y) = 0.0062…

A: Given function is , fx,y=0.0062Inx+0.0064 Iny-0.0652⋯⋯(1) In the given relation, the function fx,y…

Q: A certain drug breaks down in the human body at a rate of 12% per hour. The initial amount of the…

A:

Q: Analyse and solve the following problems and explain the reasons for each element of your solutions.…

A: Given:  --------------------------------------------------------------------------------- Relation…

Q: A 1.85-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A: Given:-velocity of ball just before reaching (vi) =2.7 m/smass of ball (m)=1.85 kgTo find: velocity…

Q: A bacterial population starts with 400 bacteria and grows at a rate of r(t) = (450.264)el.12567t…

A: as per bartleby guidelines i can do only first question .please ask other part separately.

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

A: Here, V =70000+70000 e-0.47t

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A:

Q: A spherical snowball is melting in such a manner that its radius is changing at a constant rate,…

A:

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…

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A:

Q: The length of a rectangle is increasing at a rate of 9cm/s and its width is increasing at a rate of…

A: To Determine: How fast is the area of the rectangle increasing? Given: we have the length of a…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A:

Q: A spherical balloon is being inflated so that the volume is increasing at the rate of 5 cubic feet…

A: Consider the given: V=43πr3Differentiate w.r.t. "t",dVdt=43π3r2drdtIt is given:dVdt=5 ft3/minr=6 ft

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A: Horizontal distance between two snails is 8mmone snail is climbing at the rate 2mm/s and other is…

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A:

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

A:

Q: The formula for kinetic energy is: K = 0.5 mv, where m is mass in kilograms, v is velocity in m/s,…

A:

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A:

Q: The length of a rectangle is increasing at a rate of 9 cm/s and Its width is increasing at a rate of…

A: Length of rectangle, x= 7 cm, Width of rectangle, y= 4 cm, Rate by which length is increasing is…

Q: A factory produces bicycles at a rate of 100+0.3t^2−0.5t bicycles per week (t in weeks). How many…

A: A factory produces bicycles at a rate of

Q: A tank initially holds 100 gallons of a brine solution containing 20 lb of salt. At t = 0, fresh…

A:

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

A: Given, length of rectangle is increasing at a rate of  7 cm/s width of rectangle is increasing at a…

Q: Analyse and solve the following problem and explain the reasons for each element of your solutions.…

A: Given: A tank partially filled with gasoline is seeping through the sides, at a rate proportional to…

Q: In 2011, an earthquake with magnitude 9.0 on the Richter scale was recorded off the east coast of…

A:

Q: The average energy E (in kcal) needed for a lizard to walk or run a distance of 1 km has been…

A: Given that the average E needed for lizard to walk or run a distance of 1km is given by equation,…

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A: We have to slove the derivative

Q: A duck is 6 feet north and 8 feet east of a buoy. He is swimming due east at a rate of 3ft/sec. How…

A: Consider the value of x=3ft/sec. A duck is 6 feet north and 8 feet east of a boy. We have to find…

Q: The upper end of the ladder 5 m long leans against a vertical wall. Suppose the foot of the ladder…

A:

Q: A car traveling with an initial velocity of 29.81 m/s to the east, sees a wall 56.42 meters to its…

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: In the DE: Ans:[a) 0.10 percent, b) 3.47 min]. 1. a.) Find the percentage of  Carbon dioxide in the…

A: Please check step 2 and 3 for the solution.!

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A: Given query is to find the rate of change if distance.

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A:

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A:

Q: When the side a of a cube increases with time t, the change in volume dt - O a. da За- dt O b. da…

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:

Q: A car is travelling at the rate of 88 ft/sec when the brakes are applied. The car begins to…

A:

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.