1 Consider the function f(x) x+1 1 (a) Evaluate lim x>0 x +1 (b) Find the stationary point of the curve y = f(x) and determine its nature. (c) Find the point(s) of inflection of the curve y = f(x) . (d) Sketch the curve y = f(x) showing all the features found above. Using your graph, find all values of k for which the equation kx? =1-k has exactly one solution. (e)
1 Consider the function f(x) x+1 1 (a) Evaluate lim x>0 x +1 (b) Find the stationary point of the curve y = f(x) and determine its nature. (c) Find the point(s) of inflection of the curve y = f(x) . (d) Sketch the curve y = f(x) showing all the features found above. Using your graph, find all values of k for which the equation kx? =1-k has exactly one solution. (e)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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