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**Unformatted text preview: **e is the number such that the slope of the tangent line to y = e x at x = 0 is exactly 1. NOTE: e … ex. Sketch the graph of y = e x . 6-? ± Sketch the graph of the following: ex. y = e ¡ x 6-? ± Try these! ex. y = 2 ¡ e ¡ ( x +1) 6-? ± ex. Suppose you invest $ 1000 in an account that doubles every 8 years. What will the value of the account be in 24 years? Find a formula for the value in t years. ex. The concentration of a drug in a particular or-gan at any time t (in seconds) is given by x ( t ) = 0 : 08 + 0 : 12(1 ¡ e ¡ : 02 t ) where x ( t ) is mea-sured in grams/cubic centimeter. What is the initial concentration of the drug in the organ? Find the concentration of the drug in the organ in the long run (as t approaches inﬂnity)....

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