The volume of a cube as described by V=s^3, where s is the length of each side. Solve for the average rate of increase of volume as the length of the side increases from 5 to 9 cm. T
Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…
A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…
Q: Consider a tank with volume 100 liters containing a salt solution. Suppose a solution with 2…
A:
Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 300g…
A: Initial Amount of drug present in blood stream = 300g Concentration of drug depletes per minute =…
Q: The length of a rectangle is increasing at the rate of 4 cm/sec, while the width is increasing at…
A:
Q: One leg of a right triangle is always 12 cm long, and the other leg is increasing at a rate of 1…
A: Given that the length of one leg is=12Let the length of the other leg=xThe length of the…
Q: The height of a right circular cone is increasing at 3 mm/s and its radius is decreasing at 2 mm/s.…
A:
Q: Calculate on the maximum percentage error in the volume of the cylinder-shaped oil barrel if the…
A:
Q: A bucket that weighs 4 pounds and a rope of negligible weight are used to draw water from a well…
A:
Q: If 10 pounds of salts is dissolved in a large tank in partially filled with 100 gallons of fluid.…
A: Given : 10 pounds of salts is dissolved in a large tank in partially filled with 100 gallons of…
Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…
A: Here we solve the given problem of calculus.
Q: First 120 km of the road the car is moving at speed rate of 90 kph. Next one hour and 15 minutes the…
A:
Q: The recommended starting dosage used for treating congestive heart failure for most patients is…
A: Given: The mean half-life for digoxin elimination is about 1.6 days or 38.4 hours. The amount of…
Q: A helium balloon looses 10 % of its volume every 6 hours. What percentage of the original volume…
A: .Volume looses in 6 hours= 10% of V= 0.1V Volume losses in 1 hour= 0.1V6 Volume losses in 27 hours=…
Q: A container holds 200 gallons of brine solution containing 50lb of salt. Initially, fresh water is…
A: The amount of salt remaining after 5 minutes is 45.24 lb. And the calculation is uploaded below
Q: A hemispherical dome of radius 40 feet is to be given 11 coats of paint, each of which is 1/100 inch…
A: The volume of Hemisphere = 23πr3 Differentiate with respect to r…
Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions…
A: Volume of pyramid = 1/3 * base area * height
Q: Water is leaking out of an inverted conical tank at a rate of 10800 cubic centimeters per min at the…
A: Given that Water is leaking out of an inverted conical tank at a rate of 10800 cubic centimeters per…
Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…
A: We will find out the required value.
Q: A tank whose volume is 150 L is initially half full of a solution that contains 100 g of chemical. A…
A: Given that, A tank whose volume is 150 L is initially half full of a solution that contains 100 g of…
Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…
A:
Q: A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is…
A:
Q: The original 24 m edge length x of a cube decreases at the rate of 2m/min. When x=2 m, the…
A: Given, The original 24 m edge length x of a cube decreases at the rate of 2 m/min.We know…
Q: A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure…
A: The initial amount of the sugar in the water is x (0) = 50 kg The pure water is entering into the…
Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg…
A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at…
Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…
A: 1. givendrdt=0.1 cm/minr=8 cmdvdt=?volume of sphere (v)=43πr3diffrentiate with respect to…
Q: A tank contains 40 L of solution containing 2g of substance per liter. Salt water containing 3g of…
A: Initially there is 40*2 = 80 grams Let Q be the amount of substance in the tank and dQ/dt be the…
Q: A hemispherical dome of radius 40 feet is to be given 7 coats of paint, each of which is 1/100 inch…
A:
Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…
A:
Q: The volume of a solid can be expressed as V=7x3. The volume is to be calculated with an error of no…
A: To find: Approximately the greatest error that can be tolerated in the measurement of x. Given…
Q: The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of…
A: Given that: Height is increasing at rate =1.5 cm/minRate of increase of area = 2.5 cm2/min
Q: Two identical rectangular tanks, A and B, are completely tilled with water. Each tank measures 60 cm…
A: The rectangular tanks are as below: Given: Length=60 cm, Width=50 and Height=40.
Q: The number of live births recorded and the number of infants died in a town during a given period…
A:
Q: If a IV fluid bag is Flowing out of a 1.0 liter bag at the rate of 0.4 cc/min how long will it take…
A: Total volume of fluid flowing out =1.0 litre rate of flowing =0.4 cc/min
Q: A leaky 10-kg bucket is lifted from the ground to a heightof 12 m at a constant speed with a rope…
A:
Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.09…
A:
Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…
A: We have to find the rate if change if rectangle area.
Q: A 2 lbs of salt was dissolved completely into 100 gallons of pure water. After an hour, a brine…
A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS…
Q: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…
A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…
Q: Express the mathematical relationship between stress and strain in case of elastic material.
A: The mathematical expression can be related as:
Q: A 9 m tall conical reservoir, like the one shown in the figure on the right, it is filled to the top…
A: Consider the given information:
Q: . A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…
A:
Q: A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…
A: Given that, A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a…
Q: A hemispherical dome of radius 20 feet is to be given 7 coats of paint, each of which is 1/100 inch…
A: Given that Radius of hemisphere is 20 feet 7 coats of paint applied Thickness of each coat is…
Q: The kinetic energy of an object varies jointly with its mass and the square of its velocity. What…
A: let: Kinetic energy be k Mass be M. Velocity be V The kinetic energy is directly proportional to…
Q: A tank contains 400 gallons of fluid in which 50 lb. of salt is dissolved. Brine containing 2 Ib/gal…
A: Given that : A tank contains 400 gallons of fluid in which 50 lb of salt is dissolved.
Q: A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into…
A: Given :- The total capacity of tank = 100 L Initially amount of fresh water in a tank = 15 L Saline…
Q: A right triangle has legs of 12 inches and 16 inches whose sides are changing. The short leg is…
A:
Q: The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is…
A:
Q: A ball is inflated at a rate of 200x cubic inches per second. Find the rate at which the radius is…
A:
Q: (a) Water flows from a storage tank at a rate of 900 – 6t liters per minute. Find the amount of…
A: This question is related to calculus . solve in step 2.
The volume of a cube as described by V=s^3, where s is the length of each side. Solve for the average rate of increase of volume as the length of the side increases from 5 to 9 cm. The volume of a cube as described by V=s^3, where s is the length of each side. Solve for the average rate of increase of volume as the length of the side increases from 5 to 9 cm.
Step by step
Solved in 2 steps
- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?A patient's blood is traveling at a rate of 16 mL/sec while conveying a medicine into the liver and leaves in a similar rate. The liver can occupy liquid volume of 204 mL. The medicine concentration in the blood entering the liver is 0.5 g/mL, When will the concentration of the medicine in the liver reach 0.4 g/mL?The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1 m, at what rate does the cube’s surface area change and when x=1 m, at what rate does the cubes volume change ?
- The volume of a cube decreases at a rate of 10 meters33 per second. Find the rate at which the side of the cube changes when the side of the cube is 3 meters.A bucket that weighs 4 pounds and a rope of negligible weight are used to draw water from a well that is 80 feet deep. The bucket is filled with 40 pounds of water and is pulled up at a rate of 1.5 feet per second, but water leaks out of a hole in the bucket at a rate of 0.25 pounds per second. Find the work done pulling the bucket to the top of the well.A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution in the tank is being mixed well. If the well-mixed solution in the tank exits 7 L per minute, determine the amount of salt (kilograms) in the solution just before the tank overflows.
- The radius of a right circular cylinder is increasing at a rate of 4 inches per minute, and the height is decreasing at a rate of 3 inches per minute. What are the rates of change of the volume and surface area when the radius is 19 inches and the height is 37 inches?A tank initially contains 200 liters of brine with 20 kg of salt solution. Brine containing 0.25 kg per liter of salt flows into the tank at the rate of 3 liters/min, and the mixture kept uniform by stirring, flows out at the rate of 2 liters/minute. Determine the time when the concentration of salt becomes 0.15kg/liter.Suppose a shower head pours 1.3 gallons of water per minute into the tub. The drain has a clog and allows for only 0.6 gallons of water per minute to exit the tub. What is the net flow that applies to the tub (in gallons per minute, rounded to the nearest 0.1 gal/min).
- The kinetic energy of an object varies jointly with its mass and the square of its velocity. What happens to the energy when the mass is doubled and the velocity is tripled ?SOLVE DE VARIATION OF PARAMETERSThe length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate of5 ft/s. At what rate is the area of the rectangle increasing when the length is 5ft and the widthis 10ft.