Must answer both questions with numbers given correctly for full points. Final a

Question

Must answer both questions with numbers given correctly for full points. Final answer for each must be given for each as well.

1.

The barometric pressure y (in inches of mercury) at an altitude of x miles above sea level decreases at a rate proportional to the current pressure according to the model shown below, where y = 29.92 inches when x = 0

dy/dx = -0.2y

a.Find the barometric pressure at the top of Mt. St. Helens (8364 feet). (Round your answer to 2 decimal places.)

b.Find the barometric pressure at the top of Mt. McKinley (20,320 feet). (Round your answer to 2 decimal places.)

2.

The American Stenographic Institute finds that the average student taking Elementary Shorthand will, in a 20 week course, progress at a rate given by the following equation where Q(t) measures the number of words of dictation a student can take per minute after t weeks in the course.

dQ/dt =k(80-Q)

If the average student can take 45 words of dictation per minute after 10 weeks in the course, how many words per minute can the average student take after completing the course?

3. A tank with a capacity of 800 L is full of a mixture of water and chlorine with a concentration of 0.025 g of chlorine per liter. In order to reduce the concentration of chlorine, fresh water is pumped into the tank at a rate of 8 L/s. The mixture is kept stirred and is pumped out at a rate of 20 L/s. Find the amount of chlorine in the tank as a function of time. (Let y be the amount of chlorine in grams and t be the time in seconds.)

Explanation / Answer

Ans 1: http://s22.postimg.org/gs9t0jf5t/DSC_0234.jpg
Ans 2: http://s12.postimg.org/5gvunxei5/DSC_0235.jpg
Ans 3: http://s21.postimg.org/9j4bbxhfb/DSC_0236.jpg

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