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e) How many points are there where the two curves y = sinh(x) and y = x3 intersect? 2 x points

e) How many points are there where the two curves y = sinh(x) and y = x3 intersect? 2 x points

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help just with (e), the last part 

The hyperbolic sine function, denoted by sinh, is defined by the equation sinh(x) = }(ex – ex) - 2 Note: For speaking and reading purposes, sinh is pronounced as "cinch." (a) Without a calculator, find sinh(0). sinh(0) = 0 Using a calculator, find sinh(2) and sinh(-2), rounding the answers to two decimal places. sinh(2) = |3.63 sinh(−2) = -3.63 (b) What is the domain of the function sinh(x)? O [0, 00) O (-∞0, 0) U (0, ∞) (-∞, ∞) O (-∞0, 0) (0, ∞)
Transcribed Image Text:The hyperbolic sine function, denoted by sinh, is defined by the equation sinh(x) = }(ex – ex) - 2 Note: For speaking and reading purposes, sinh is pronounced as "cinch." (a) Without a calculator, find sinh(0). sinh(0) = 0 Using a calculator, find sinh(2) and sinh(-2), rounding the answers to two decimal places. sinh(2) = |3.63 sinh(−2) = -3.63 (b) What is the domain of the function sinh(x)? O [0, 00) O (-∞0, 0) U (0, ∞) (-∞, ∞) O (-∞0, 0) (0, ∞)
(d) Use a graphing utility to graph y = sinh(x). Check that the picture is consistent with your answer in part (c). O -6 -2 y 10 -10 -10 2 2 .X X 4 6 6 X* -6 6 (e) How many points are there where the two curves y = sinh(x) and y = x³ intersect? 2 X points -4 4 -2 15 2 y y 10 -10 10- -10 2 2 X 6 6
Transcribed Image Text:(d) Use a graphing utility to graph y = sinh(x). Check that the picture is consistent with your answer in part (c). O -6 -2 y 10 -10 -10 2 2 .X X 4 6 6 X* -6 6 (e) How many points are there where the two curves y = sinh(x) and y = x³ intersect? 2 X points -4 4 -2 15 2 y y 10 -10 10- -10 2 2 X 6 6
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