A technician is changing a automotbile's transmission fluid. The manual tells him the transmission hold 7.8 quarts of fluid. When He drains the transmission, it only releases 3.1 quarts. He closes the plug and puts 3.1 quarts of fresh fluid back in. The manual tells him to run the car for 10 minutes to completely mix the fresh fluid in. The manual states to repeat this process 2 more times. Knowing that some fresh fluid is lost on each of the following 2 drains, what is the final ratio of fresh fluid to old?

Q: A tank originally contains 80 gal of fresh water. Then water containing 1/2 lb of salt per gallon is…

A: To solve this problem, we'll use the concept of differential equations and solve for the amount of…

Q: a medication order calls fo IV infusion of esmolol of HCL, 5g/500 mL DSW, to be given at 50…

A:

Q: A snowplow has a maximum speed of 45 mph on a dry highway. It's maximum speed decreases by 0.9 mph…

A: The above model can be written in a linear equation of x and y. By substituting y=0, it can be…

Q: Family Rubbing Alcohol wants to produce 40% rubbing alcohol from their excess 70% rubbing alcohol. A…

A: Let y be the amount of a substance. The concentration of the substance can be modeled using the…

Q: The coordinate system to universally convert geometry to algebra and vv.

A: The Cartesian coordinate system to universally convert geometry to algebra and w.

Q: A 30-gallon tank initially contains 15 gallons of salt water containing 3 pounds of salt. Suppose…

A: Given that dN(t)dt = flux of salt in - flux of salt out The salt flux into the tank is always C_in *…

Q: 4) Solve the following linear system or indicate the nonexistence of solution. X1 – 2x2 + 5x3 – 3x4…

A: Or, take x2 = k Hence, solution of the system is x1 = 1+2k, x2 = k, x3 = 1, x4 = 2

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

A: Given :- a tank containing 100 gal of fresh water . in first process, the water containing 1/2 lb of…

Q: Tank A initially holds 100 gallons of brine that contains 100 lbs of salt while tan B holds 100…

A: This is a problem of modeling differential equations.

Q: 2) A tank with capacity of 500 gallons initially holds 200 gallons of salt water containing 100 lb…

A: The capacity of the tank is 500 gallons initially holds 200 gallons of salt water containing 100 lb…

Q: Alpha-Industrial Corporation buys 100 Gallons of lubricants from ABC petroleum, for 90 JOD per gal…

A: Given: Alpha-Industrial Corporation buys 100 Gallons of lubricants from ABC petroleum for 90 JOD per…

Q: the nurse receives an order for medication p 40 mg intravenously every 8 hours. the medication label…

A: The Solution is given below:

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

A: Given: The tank originally contains 100 gal of fresh water. Water containing 12=0.5 lb of sat per…

Q: 2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

A:

Q: . An alloy at temperature 100°C is brought into a medium whose temperature is kept at 80°C. After 20…

A: We can use Newton's law of cooling/ heating formula and its general solution to solve this problem.

Q: A tank contains 1500 liters (L) of fluid in which 150 grams (g) of salt is dissolved. Solution…

A: Given that a tank contains 1500 liters (L) of fluid in which 150 grams (g) of salt is dissolved. A…

Q: 4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration…

A: circulated pound contains 1 million litre of water that contain important at the separation of 0.01…

Q: A tank originally contains 160 gal of FA

A: Given that a tank initially contains 160 gals of fresh water. Then water holding 14Ib of salt per…

Q: Two trains are headed towards each other on the same track unbeknownst to the engineers.  One…

A: Answer is 430 min.

Q: Worker A is a loader and worker B is an unloader. Worker A can load a truck in 10mins, while worker…

A: The time taken by worker A to load the truck is = 10 min  The time taken by the worker B to unload…

Q: Two tanks are interconnected. Tank A contains 60 grams of salt in 50 liters of water, and Tank B…

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.