Initially 15 grams of salt are dissolved into 25 liters of water. Brine with concentration of salt 5 grams per liter is added at a rate of 2 liters per minute. The tank is well mixed and drained at 2 liters per minute. a. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the rate of change in the amount of salt,(dx/dt), in terms of the amount of salt in the solution x. (dx/dt)=? b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. x(t)=? c.

Q: Find the average value of the function f(x) = from r = 1 to r = 7. Express %3D your answer as a…

A:

Q: Broccoli is placed in an oven, and the broccoli's temperature F (in Fahrenheit) is taken at various…

A: Solution is here

Q: A fund earns interest at a force of interest δt = 0.008t. Sam invests $7,000 at time t = 0. After T…

A: Invested money is P = $ 7000 at time t = 0   After t years the money will be A = $8666.26   The…

Q: The mess in a restaurant can be measured by M(t). Assume that M(O) = 0, the restaurant starts out…

A: Let's consider a differential equation as follows:If M(t)=F(t), then equation 1 will be satisfied.

Q: Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm3) in terms…

A: 1.Volume of sphere is given by;-v(r)=43πr3mm3

Q: A tank contains 420 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A:

Q: Find the avéragé raté of chanģė óf the function between the ĝiven valueš of x. y = -5x – x² between…

A:

Q: The rate of change of y with respect to tis 3 times the value of the quantity 2 less than y. Find an…

A:

Q: A chemical reaction produces hydrogen so that at time t (in seconds) the total volume of hydrogren…

A:

Q: Find the rate of change of f (x) = x° at x = 2. %3D

A: Rate of change.