Q1: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water drains with 0.02 m³/sec. How fast the water level drops when the water height is 0.9 m? 1.2m 3m

Q: B. How rapidly will the water level inside a vertical cylindrical tank if we pump the water out at…

A:

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

A:

Q: a car braked with a constant deceleration of 20ft/s^2, producing skid marks measuring 350 ft before…

A: Measuring distances in feet and time (starting with the brakes being applied ) in seconds we have…

Q: suppose we have a rectangular aquarium with dimenstions of length 8m.width 4m .Suppose we are…

A:

Q: The skid marks made by an automobile indicated that its brakes were fully applied for a distance of…

A: Given  final velocity=v=0 msdeceleration=a=20ms2Distance cover by the car before  come to stopy=75…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m°, Imin: How fast 1.…

A:

Q: 18. A kite string is paid out at a constant rate of 3 ft/s. If the wind carries the kite…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Introductions :We have given an inverted pyramid.water rate = 55 cm3/secside length = 7 cm height =…

Q: The volume of a cone of radius r and height h is given by V=1/3pir^2h. If the radius increases at a…

A: Volume of a cone = πr2h3 , Where r= radius of a cone and h= height of a conedrdt= 0.5cm/sec , dhdt=…

Q: Water is pouring from a hole at the rate of 25 cu. m per minute and is forming a conical pile on the…

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: A coin of mass 0.05kg is dropped from the top of the Eiffel tower, which is 300m tall. It…

A:

Q: The side of an equilateral triangle is increasing at the rate of 3 cm/s. What is the rate at which…

A: We can solve the given problem by using the following concept of differentiation. Let f(x) be the…

Q: 5. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows…

A:

Q: At what rate is the area of rectangle changes if sides are x and 4x, if the shorter side x changes…

A:

Q: A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, t…

A:

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

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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: A ball is being inflated such that the volume is increasing at a constant rate of 100cm3/s How fast…

A: Given  and

Q: 1000 liters of water per second is filled into the square prism-shaped tank with a base edge of 10…

A: We have to find the relating equation of volume with height and then differentiate it with respect…

Q: Water is flowing into a cylindrical tank at the rate of 2 m^3/min. If the radius of the tank is 0.5…

A: Water is flowing into a cylindrical tank at the rate of 2 m3/min.If the radius of the tank is 0.5 m,…

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the…

A: Solve for the length of ladder

Q: The volume V of a right circular cone of radius r and height h is given by V = 1/3 πr2h. a) What is…

A: Simply take derivative with respect to given variable considering other as constant.

Q: 3) If a spherical snowball melts so that its surface area decreases at a rate of 1 cm? he rate at…

A: It is given that a spherical ball melts so that its surface area decreases at a rate of 1 cm2 per…

Q: The height in meters of a diver above the pooľ's surface is given by h(t) = -5t² + 7t + 10, where t…

A: Given that the height of a diver above the pool's surface is  ht=-5t2+7t+10 a) It is required to…

Q: A car travels in a straight line.  It increases its speed from 22 m/s to 28 m/s with a constant…

A: Since distance formula for constant acceleration is  v2=u2+2ax where v is final velocity, u is…

Q: A 2.63-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A:

Q: The brakes of a car are applied when it is moving at 80 km/h and provide a constant deceleration of…

A:

Q: 31 An ice (ube is slowly melting, losing 3cm3 of water each hour. If it a lways remains a Perfect…

A: Volume of a cube=(side)^3

Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

A: Given:

Q: A steel ball of mass 4 kg is dropped from a building. If the air resistance is equal to 0.371v, what…

A: Mass of ball m=4 kg Air Resistance =0.371v Now, the formula to find  velocity of ball at time t is:…

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

A:

Q: D A child is rolling a spherical snowball with an outer 1) Tayer of ice so that the volume Of the…

A: As per bartleby answering guidelines we are supposed to answer only first question in case of…

Q: The brakes of a car are applied when it is moving at 100km/h and provide a constant deceleration of…

A:

Q: 2. Leanne is travelling at 13 km/hr. Fernando is moving at 3-5 m/s. Who is travelling faster?

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: 01/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

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

A:

Q: 3) Water is running from a vertical cylindrical tank 3 m in diameter at the rate of 3ayh , where h…

A: Given, Diameter of the cylindrical tank=3m Radius of the cylindrical tank, r=32=1.5m Volume of the…

Q: QI: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given data: The given height of the cone is H=3 m. The given radius of the cone is R=1.2 m. The…

Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

A: Given that a ship leaves a port at 2:00 PM and travels S30degree East at the rate of 50km/hour and…

Q: The skid marks made by an automobile indicate that its brakes were fully applied for a distance of…

A: Given - The skid marks made by an automobile indicated that its break were fully applied for…

Q: A particle that moves along a straight line has velocity v(t) = t?e meters per second after t…

A: The displacement -velocity -time equation is given by, dsdt=v(t) The displacement during the first t…

Q: 5. Water is pouring into a conical vessel 15 cm deep and having a radius of 3.65 cm across the top.…

A:

Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 – 20t, for…

A: Solve the following

Q: A cylindrical container has initially 400cm^3 of water and is being filled at the constant rate of…

A: The cylindrical container has 400cm3 of water. The rate of being filled per second is 100 cm3. And…

Q: Water is drained from a pool at a rate of R(t) = 50e-0.08t gallons per hour. If the drain is left…

A: 625 gal. water drains from the pool.

Q: The radius of an air bubble is increasing at the rate of 1/2 cm/s.At what rate is the volume of the…

A:

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when…

Q: In every sphere of radius r it is true that its volume V is given by V =ar³ , A snowball is melting…

A: volume of snowball (sphere);V=43πr3differentiating w.r.t. time t;dVdt=-4π3(3r2) drdtdVdt=-4πr2…

Q: A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32…

A: