4) Set up the table of variations off then draw (C). 5) Consider the equation: (E): x2 - (2 + 3)x + 22+ 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 yg = yF = 1 and let G be the center of gravity of the triangle OEF. Find the locus of the points G as A varies.
4) Set up the table of variations off then draw (C). 5) Consider the equation: (E): x2 - (2 + 3)x + 22+ 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 yg = yF = 1 and let G be the center of gravity of the triangle OEF. Find the locus of the points G as A varies.
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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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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4،5 and 6
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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