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d) Find the point of intersection between the line y = and f. e) Study the variations of f and hence draw its variation table. f) Show that there exists a unique point B on f whose tangent line is parallel to the line y =.

d) Find the point of intersection between the line y = and f. e) Study the variations of f and hence draw its variation table. f) Show that there exists a unique point B on f whose tangent line is parallel to the line y =.

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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Q1d, e, f & g

1+lnx 1. The function f is defined as f(x) = a) Find the domain of f. b) Determine the limits at the bound of Df. c) Show that the line y = is an asymptote to f. Determine the relative position of f to its asymptote on Dr. d) Find the point of intersection between the line y = and f. e) Study the variations of f and hence draw its variation table. f) Show that there exists a unique point B on f whose tangent line is parallel to the line y =. 8) Sketch the graph of f showing clearly the asymptotes and the point B.
Transcribed Image Text:1+lnx 1. The function f is defined as f(x) = a) Find the domain of f. b) Determine the limits at the bound of Df. c) Show that the line y = is an asymptote to f. Determine the relative position of f to its asymptote on Dr. d) Find the point of intersection between the line y = and f. e) Study the variations of f and hence draw its variation table. f) Show that there exists a unique point B on f whose tangent line is parallel to the line y =. 8) Sketch the graph of f showing clearly the asymptotes and the point B.
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