600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min saltwater with [salt]=2g/L, Outflow of the mixture at [salt]=Q/V has rate 4L/min. Write the IVP for Q(t)= quantity of salt in the mixing fank. OP 20 30 100 4t OP dt 20 100 t 100 4Q 600 t dt A 600 100 4t

Q: 1. Let F = x³i+3+k. Find the general equation of a flow line. Find the flow line through the origin.…

A:

Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the…

A:

Q: A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the…

A:

Q: 1. The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast…

A: " Since you have posted a two questions, we will solve first question for you. To get another…

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: The edge of an expanding cube is changing at the rate of 2.3 cm/s at the instant its edge is 18.3 cm…

A:

Q: The total sales S (in thousands) of a video game are given by at² S(t) = t2 +b where a = 90, b = 49,…

A:

Q: A 5000-gal aquarium is maintained with a pumping system that passes 100 gal of water per minute…

A: Let x(t) be the amount of antibiotics in the tank at the time t minutes.The concentration of…

Q: Dopamine is ordered to be administered IV at the initial rate of 5 mcg/ke/min, and may increase by 1…

A: di = dopamine initial dosage rate (mcg/kg/min)dm= dopamine maximum dosage rate (103mcg/kg/min) r…

Q: Suppose a train is moving along a trackwith a velocity of v(t) = t^2 − 3t. In the first four…

A:

Q: With Cin X Vin = Cout X Vout Vin R=Vin - Vout= Vout Cin X Then Vin Vout X Cout/ Cin and Cout =…

A: Vout = 1.486 Cout = 1400 Cin = 1000

Q: Since the atmospheric pressure at the surface of Venus is 93 times the atmospheric pressure at the…

A: Pressure at the surface of earth = 101325 kg/ms2  Since pressure at the surface of Venus is 93 times…

Q: A tank contains 150 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A:

Q: A NASA spacecraft measures the rate R of at which atmospheric pressure on Mars decreases with…

A: Unit Conversion Formula:

Q: 5. A new colony of bees can make honey a rate of e'/6 – 1 gallons per month. How much honey will…

A: Given a new colony of bees make honey at rate of,  et/6 - 1 gallons per month.  Where 't' is the…

Q: If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: Area of circle, A=πr2 where r is the radius

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.