Solve using dirac deltla/discontinuous forcing
consider the following scenario. a salt tank that initially contains 50 gallons of pure water. a brine solution containing 1/5 lb/gal of salt flows in to the tank at a rate of 5 gal/min. brine flows out of the tank at the same rate. at time t = 15 minutes the mechanism regulating salt flow in to the tank breaks and 20 pounds of salt is dumped instantaneously in to the tank. although water continues to flow in to the tank at the original 5 gal/min, there is no salt in the water.
1. write an ivp describing the amount of salt in the tank at time t.
2. solve the ivp from problem 1.
3. plot the solution found in problem 2 and explain the results.

What is an equation of the line that passes through the point (-2,3) and is parallel to the line whose equations is y=3/2x-4? i am stuck between y=3/2x or y=3/2x+6 : (

Look at arnold's attempt to solve the equation for b: 3b = 12 b = 3 · 12 b = 36 describe the mistake that arnold made.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.