Multiple choice: Choose the best answer. Some questions may have more than 1 correct answer.

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(Review) A tank contains 100 L of pure water. Brine that contains 0.1 Kg of salt per litre enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank after 6 minutes? a. 1.8 Kg b. 2.1 Kg c. 3.7 Kg d. 4.5 Kg e. None of the above (Review) A ball is launched straight up to a height of 20 m. When the ball returns to the ground it will bounce to a height that is - of its previous height. Express the distance that the ball would travel as an infinite series and then find the distance travelled. You may want to sketch a diagram to describing the situation to help you solve the problem. a. 13.3 meters b. 24.9 meters c. 30.0 meters d. 33.3 meters e. 53.3 meters (Review) Determine whether the series (-1)ntien n= 1 n3+5 converges absolutely, converges conditionally, or diverges. a. converges absolutely b. converges conditionally c. diverges d. cannot be determined (Review) Determine whether the series _ n In(n) converges absolutely, converges conditionally, or diverges. a. converges absolutely b. converges conditionally c. diverges d. cannot be determined 5 (Review) Find the radius of convergence for $ 3" a" n=1 a. 1 b. C. d. 3 e. None of the above The function (14x has power series representation a. Ex for | x K 1. n=0 b. E (-1)"x" for | x | 1. n = 0 E (-1)-1x for | | 1. n=0 d. E x" for all x. n=0 6 e. None of the above