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(3.4) Use the graph to determine m and c, and hence write down the equation that defines 1. (3.5) Use the graphs of h and / (not the algebraic expressions for h(x) and /(x)) to solve the inequality 1(x) – h(x) < 0.

(3.4) Use the graph to determine m and c, and hence write down the equation that defines 1. (3.5) Use the graphs of h and / (not the algebraic expressions for h(x) and /(x)) to solve the inequality 1(x) – h(x) < 0.

Advanced Engineering Mathematics
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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Answer Question3.4 and 3.5 

y y = /(x) B 9. A y = h(x) 7 8 10 12 14 16 18 20 The sketch shows the graphs of the functions h and / defined by y = h(x) = log,(x – p) + q and h= /(x) = mx + c. The two graphs intersect at the points A and B.
Transcribed Image Text:y y = /(x) B 9. A y = h(x) 7 8 10 12 14 16 18 20 The sketch shows the graphs of the functions h and / defined by y = h(x) = log,(x – p) + q and h= /(x) = mx + c. The two graphs intersect at the points A and B.
(3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2) Write down the sets that represent the domain and the range of the function h, and the equation of the asymptote of the graph of h. (3.3) Describe the steps of the transformation process that you would apply to the graph of h to obtain the graph of y = log; x. (3.4) Use the graph to determine m and c, and hence write down the equation that defines I. (3.5) Use the graphs of h and I (not the algebraic expressions for h(x) and /(x)) to solve the inequality /(x) – h(x) < 0.
Transcribed Image Text:(3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2) Write down the sets that represent the domain and the range of the function h, and the equation of the asymptote of the graph of h. (3.3) Describe the steps of the transformation process that you would apply to the graph of h to obtain the graph of y = log; x. (3.4) Use the graph to determine m and c, and hence write down the equation that defines I. (3.5) Use the graphs of h and I (not the algebraic expressions for h(x) and /(x)) to solve the inequality /(x) – h(x) < 0.
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