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Learning Curve The management at a medical supply factory has found that the maximum number of units an employee can produce in a day is 40. The rate of increase in the number of units N produced with respect to time t (in days) by a new employee is proportional to
(a) Solve the
(b) Find the particular solution for a new employee who produced 10 units on the first day at the factory and 19 units on the twentieth day.
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Chapter 11 Solutions
Calculus: An Applied Approach (Providence College: MTH 109)
- Find the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t) = 7t = 2-9t z(t) to the point (-1, 1, −3).arrow_forwardLet ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3). Find the acute angle (in degrees) between the lines:arrow_forwardA tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?arrow_forward
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