Given f(x) = 2 cos x+ cos? x, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help me with the last question. (iv)

Given f(x) = 2 cos r + cos? x, 0 <x< 27
(i) Find the intervals of increase or decrease Ans: F(x) decrease [ 0,] & increase [T to 2n]
Ans: Inflection Point(Tt/3,1/4),
(5T/3,5/4) .Concave
(iii) Find the intervals of concavity and the inflection points (if any) Upward(5/3,71) U (1,5t/3)
Downward(0,t/3) U(5t/3,2r1)
(iv) Use the information from parts (i)-(iii) try to sketch the graph of f(x).
Transcribed Image Text:Given f(x) = 2 cos r + cos? x, 0 <x< 27 (i) Find the intervals of increase or decrease Ans: F(x) decrease [ 0,] & increase [T to 2n] Ans: Inflection Point(Tt/3,1/4), (5T/3,5/4) .Concave (iii) Find the intervals of concavity and the inflection points (if any) Upward(5/3,71) U (1,5t/3) Downward(0,t/3) U(5t/3,2r1) (iv) Use the information from parts (i)-(iii) try to sketch the graph of f(x).
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