Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Part B Suppose that : m = -1 and consider the function f that is defined over R – {2} by x²-3x+1 f(x) = x-2 Let (C) be its representative curve in an orthonormal system. 1) Prove that f is strictly increasing over R- {2} 2) Prove that the straight line of equation x = 2 is an asymptote to (C). 3) Prove that the point I(2; 1) is the center of symmetry of (C). 4) Set up the table of variations off then draw (C). 5) Consider the equation: (E): x² – (2 + 3)x + 21 + 1 = 0 where A is a real parameter. Prove that (E) admits two different real roots for all 2 6) Let E and F be two points of (C) such that y; = YF = 1 and let G be the center of gravity of the triangle OEF. Find the locus of the points G as A varies.
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Transcribed Image Text:Part B Suppose that : m = -1 and consider the function f that is defined over R – {2} by x²-3x+1 f(x) = x-2 Let (C) be its representative curve in an orthonormal system. 1) Prove that f is strictly increasing over R- {2} 2) Prove that the straight line of equation x = 2 is an asymptote to (C). 3) Prove that the point I(2; 1) is the center of symmetry of (C). 4) Set up the table of variations off then draw (C). 5) Consider the equation: (E): x² – (2 + 3)x + 21 + 1 = 0 where A is a real parameter. Prove that (E) admits two different real roots for all 2 6) Let E and F be two points of (C) such that y; = YF = 1 and let G be the center of gravity of the triangle OEF. Find the locus of the points G as A varies.
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