(i) Consider the graph of the function y= f (x) where f(x)=e* +e * +1. (a) Determine whether f(x) is odd, even or neither, showing clear working. (b) Find the coordinates and determine the nature of any stationary points. (c) Sketch the graph of y= f(x). (d) Using your sketch, or otherwise, find the number of solutions of the equation e* +e = 2
(i) Consider the graph of the function y= f (x) where f(x)=e* +e * +1. (a) Determine whether f(x) is odd, even or neither, showing clear working. (b) Find the coordinates and determine the nature of any stationary points. (c) Sketch the graph of y= f(x). (d) Using your sketch, or otherwise, find the number of solutions of the equation e* +e = 2
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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Transcribed Image Text:(i)
Consider the graph of the function y= f(x) where f(x)= e* +e* +1.
(a)
Determine whether f(x) is odd, even or neither, showing clear working.
(b)
Find the coordinates and determine the nature of any stationary points.
(c)
Sketch the graph of y= f(x) .
Using your sketch, or otherwise, find the number of solutions of the
equation e +e* = 2.
(d)
The exact area of the region bounded by the curve y= f(x) , the x-axis
and the lines x=-1 and x=1 is given by a(e' -e)+b square units,
(e)
where a and b are rational numbers. Find the values of a and b.
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