Let tank ?1 initially has 100 gallons of brine made with 100 pounds of salt. Tank ?2 initially has 100 gallons of purewater. Pure water is pumped into tank ?1 at the rate of 2.0 gallons per minute. Some of the mixture of brine and purewater flows into tank ?2 at 3 gallons per minute. To keep the tank levels the same, one gallon of the ?2 mixture flows backinto tank ?1 at a rate of one gallon per minute and 2.0 gallons per minute drains out. Find the amount of salt at any giventime in the tanks. What happens over a long period of time?

Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and…

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does…

Q: 2.) An adult elephant weighs about 1000 pounds, while a baby elephant weighs about 200 pounds. How…

A: We have given that  Adult elephant weight=1000 pounds  Baby elephant weight=200 pounds  Fund the…

Q: If a bottle was 2 thirds full and someone pours out a quarter of that liquid how much is left?

A: This is a problem of mathematical application. By using fractional rule we will calculate the…

Q: If the patient is to be given 120 mcg of levothyroxine via IV infusion and the vial contains 0.4 mg…

A: Given: Total levothyroxine given is 120 mcg. Vial contains 0.4 mg of levothyrozine in each ml. To…

Q: If you have a bottle with 5L of a solution in it and you remove quantities of 1L, 200ml, 50ml, and…

A:

Q: The Phan family drives 10,000 miles/year. Their car averages 28 mpg. Approximately, how much will…

A: First find out the total average gas used in a year than multiply it with rate of gas.

Q: How many gallons of a 57% salt solution do we need to mix with 120 gallons of a 30% salt solution so…

A:

Q: If darin traveled 30 miles in 2 hours, and ed traveled three times as far in half the time, what was…

A: Darin travelled 30 miles in 2 hours. Ed travels thrice this distance in half the time.

Q: A body whose temperature is 50°F is placed in a warming oven whose temperature is 100°F. After 5…

A:

Q: How many gallons of water are there is 25 gallons of a solution that is 20% vinegar, with the…

A: Solution  Given total solution is = 25 gallons  The solution is made of water and vinegar  We know…

Q: The Nutty Professor sells cashews for $6.20 per pound and Brazil nuts for $5.20 per pound. How much…

A: Solution is given below:

Q: When a drug such as a pain killer or an antibiotic is introduced into the body, the kidneys work to…

A:

Q: DO Geomery Write and simplify an expression for the volume of each figure. 44. Fadusob hesht-abc…

A: As per bartleby guidelines we only give first question answer.

Q: For what two population levels will the population grow by 2 thousand over a day ?

A: Given G=-0.03n2+n Where G is the population growth and n is  the population size . For G=2000 find…

Q: A baseball is thrown from a height of 40 feet and goes up at the rate of 2.5 fett per second. A…

A:

Q: COST OF DRILLING A 100-ft oil well is to be drilled. The cost of drilling the first foot is $10.00,…

A: Given query is to find the cost of drilling the well.

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.