The hyperbolic sine function, denoted by sinh, is defined

Chapter 5, Problem 57

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The hyperbolic sine function, denoted by sinh, is defined by the equation Note: For speaking and reading purposes, sinh is pronounced as cinch. (a) Without a calculator, find sinh(0). Using a calculator, find sinh(1) and sinh(1), rounding the answers to two decimal places. (b) What is the domain of the function sinh? (c) Show that sinh(x) sinh(x). What does this say about the graph of y sinh(x)? (d) Use a graphing utility to graph y sinh(x). Check that the picture is consistent with your answer in part (c). (e) How many points are there where the two curves y sinh(x) and y x3 intersect? 58. Fo

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