Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by A(t), in a well-mixed, infinitely large tank with 1,100-L of water initially. Further, suppose we have set-up the experiment such that a salt solution containing 11 kg/L flows into the tank at a rate of 9 L/sec. If we allow the solution to flow out at 7 L/sec, then what is the volume of water in the tank at time t? V(t): in litres (DO NOT use commas in your answer) Construct a model for the change of salt in the tank at time t in seconds. [To ensure you are marked correct, please use A to represent the amount of salt in the tank at time t not A(t)]. dA (DO NOT use commas in your answer) dt

Q: A thermometer is taken from an inside room to the outside, where the air temperature is -12" C.…

A: Explanation of the answer is as follows

Q: 7. A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to…

A:

Q: A large tank contains 20 liters of pure water. Then a process begins where water containing 50 grams…

A: We have to set up the equation

Q: Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by…

A: The inflow rate of solution into the tank is 12 L/sec.The outflow rate of solution from the tank is…

Q: A cylindrical tank 24 inches in radius and 2 meters tall initially contains 100 gal of cane juice. A…

A: Please check step 2 for solution.

Q: Suppose a bank agrees to lend $18,125 now and X three years from now in exchange for a payment of…

A:

Q: Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by…

A: To solve the given statements

Q: 3. A particle is accelerating from rest at a(t) = t − e¯* m/s²; how far does it get in ten seconds?

A:

Q: Given dp/dt=cp(1-p)-ep. Given that p represents the fraction of islands occupied, 0 < p < 1. Let c…

A: Solution: Consider the given equation is dpdt = cp1-p-ep where p represents the fraction of islands…

Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: An epidemic spreads through a population at a rate proportional to the product of the number of…

A:

Q: The development of the population P in specific small city is analysed. The investigation revealed…

A:

Q: dr I Solve initial value problem - 2 = 1, x(1) = 0. dt t

A:

Q: If air resistance is proportional to the square of the instantaneous velocity, then the velocity v…

A:

Q: Find the particular solution of the ODE in this form: y" + 7 y = 6 e^x, with initial conditions y(0)…

A: Step 1: Find the complementary solution of the given ODE Recall that the following is the general…

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: Given:The initial problem is given by,To Find:We have to find the limiting value of the population…

Q: An island is colonized by immigration from the mainland, where there are 500 species. Let the number…

A: Given: dydt=0.02500-y12, y(0)=10 and h=0.5 To find: Value of y when t=5.

Q: Prove that v5 is irrational.

A:

Q: 2. Consider an explosion-versus-extinction population model of the form dr =r(r-1)+a dt where a is a…

A: The given equation is dxdt=x(1-x)+a If a&gt;0, this model reprsent stocking If a&lt;0, this model…

Q: If g(t) = 2t* + 3t2 - 5 find g(0) = a'(0)

A:

Q: A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a…

A:

Q: 8. The p.d., V, between the plates of a capac- itor C charged by a steady voltage E through a…

A:

Q: Solve the given initial-value problem. 1 y" + 4y = -6, y(T/8) = v'(T/8) = 2 y(x) =

A: