At 9 p.m., a cylinder containing 240 liters of brine in which 12kg of salt is dissolved. Brine containing 3 kg/liter of salt enters the cylinder at the rate of 4 liter/min. The well-stirred mixture leaves the cylinder at the rate of 6 liter/min. How much salt is in the cylinder by 9.30 p.m.?

Q: A container initially contains 15 L of water in which there is 30 g of salt dissolved. A solution…

A:

Q: A solution containing at 2 lb of salt per gal is poured at 3 gal per min into a 300-gal tank that…

A:

Q: Initially a tank holds 100 gal of a brine solution containing 4 lb of salt. At t = 0, brine…

A: Solution :-

Q: A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb…

A: Given: The initial volume of water v(0)=11 gallons The initial amount of salt s(0)=1.2 lb Since rate…

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 2t milliliters (mL) per…

A:

Q: A tank contains 200 gallons of fresh water. Brine containing 2 lbs/gal of salt enters the tank at 4…

A:

Q: The volume of a cube is increasing at a rate of 64 in/sec. At what rate is the length of each edge…

A:

Q: At 1:00 p.m.., oil begins leaking from a tank at a rate of (4 + 0.75t) gallons per hour. , answer…

A: At 1:00 p.m.., oil begins leaking from a tank at a rate of (4 + 0.75t) gallons per hour. , Let time…

Q: A spherical drop of liquid evaporates at a rate proportional to its surface area. If a given drop…

A:

Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A:

Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

A:

Q: A tank contains 2,000 liters of brine. Brine containing 5 N/L of salt flows in at 10 L/min, and the…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 80 + 4t milliliters (mL) per…

A: Solution ) given function = 80 + 4t When t=0 or when no solution put into a container f(0) = 80 +…

Q: The volume of a cube is increasing at a rate of 60 in/sec. At what rate is the length of each edge…

A: The objective is to find the rate at which the length of each edge of the cube is changing when the…

Q: The side of a cube is increasing at a rate 7m/s, then the rate at which the volume of the cube…

A: Let s be the side of the cube in meter and V be the volume of the cube and t be the time in…

Q: After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is present.…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

A:

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At  what rate is the area of the square…

A:

Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

A:

Q: with 2.60 moles of oxygen at 39.3 degrees Celcius?

A:

Q: How many mL of solution will be infused in 4 hours if the flow rate is 20mL/h?

A:

Q: There are 100 bacteria cells in a dish now, but in 5 hours there will be 147 cells. At what rate do…

A: There are 100 bacteria at initial time t=0. In 5 hours that is when t=5, there will be 147 cells. In…

Q: An IV Piggyback of lincomycin containing 5 gms of drug in 175 mL is to be infused over a 1 hour…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: A tank contains 80 gallons (gal) of pure water. A brine solution with 2 lb/gal of salt enters at 2…

A:

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

A:

Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its…

A:

Q: A worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many…

A: Let he needs ' x ' inches for making 1 spring.

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: gallon is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the…

A:

Q: A 500 mL IV starts at 9pm and runs at 33gtt/min with a drop factor of 10gtt/mL.  At what time will…

A: Algebra Question

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Let the length of side of square be' a '

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: The rate at which bacteria multiply is proportional to the instantaneous Number Present. If the…

A:

Q: The side of a cube is increasing at a rate 7m/8, then the rate at which the m³/s. volume of the cube…

A:

Q: The number of germs in a certain culture increases at a rate proportionai to the number present. If…

A: Given that, the number of germs in a certain culture increases at a rate proportional to the number…

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Consider the sides of the function of time:  The Area is increasing by 49 cm2/s The side increasing…

Q: The surface area of a balloon that is being filled with helium increases at a rate of 5 square feet…

A:

Q: The side of a cube decreases at a rate of 10 m/sec. Find the rate at which the volume changes, when…

A: Differentiate volume of cube wrt t

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square…

A: If the area of a square, A, is x2 units , then the length of its side is x unit .

Q: How long will it take to purge a 15ft section of 6in pipe with a flow rate of 35cfh

A: Given information Length of the section L=15 ft=15×12=180 in Hence, L=180 in Diameter of the pipe is…

Q: The volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge…

A: Given that the volume of a cube is increasing at a rate 56 in3/sec and the edges are 8 in. long. It…

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

Q: A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a Coast…

A: Time , distance and speed is related using a formula time=distancespeed .At the same time , both the…

Q: If the diameter of a piece of candy was initially 26 mm and after 30 minutes it measured 5mm, what…

A:

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

A: Suppose that the length of rectangle is “l” and width is “w”   So according to the question, dwdt=2…

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.