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MAT 1320 Lecture Notes - Binary Logarithm, Wpvi-Tv, Maxima And Minima

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tancoyote967
22 Feb 2014
School
University of Ottawa
Department
Mathematics
Course
MAT 1320
Professor
Kirill Zaynullin

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MAT 1320 Full Course Notes
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Document Summary

The graph of the exponential function is represented below: Use the graph of the exponential function to evaluate each limit. 11 n which can be written also as: Estimate the number e using formula (1) and by taking. The exponential function the limit: xe may be evaluate using. Estimate e using formula (2) and by taking. 1 x n n x x lim n. D derivative of x xe e d dx x e x e x e (4) x. 1 x n n x e e x x e xe x e. The hyperbolic functions are defined by: sinh cosh e. 2 tanh = cosh x e x x x x x x x x (cosh x (cosh x e x x sinh x e. 4 (sinh x (sinh x cosh x e x x e e. ,0 bb (ln x x b (ln bb x (6)

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Related Questions

5. (a) (5 points) The figure below shows graphs of two exponential functions. Match each of the following two functions to a graph. (1) f(x) = 2* : Graph (I or II) (2) g(x) - 3*: Graph_ (I or II) 7 05 15 2.5 35 45 (b) (15 points) Given f(x), g(x), h(x) below. X 0112T 3T 4 f(x) 10 13 16 19 22 g(x) 4 8 11 9 6 | h(x) 2 3 4.5 6.75 10.125 (1) (5 pts) Determine which function could represent an exponential function. Show your reason. (2) (10 pts) Find the explicit formula for the exponential function.