f(x) is a cubic function with the leading coefficient of 1,and for the positive value of “a,"g(x) = f[f'(t +a) · f'(t − a)]dt and satisfying,1/2g(x) has extreme values only at x =and x =1313232If f (0) is -, what is the value of "a" multiplied by ƒ (1)?2' 11.3.2 Given n 2 3 lines in the plane in general position (no two are paralleland no three go through a point), prove that among the regions they divide theplane into, there is at least one triangle.

Answered: Image /qna-images/answer/7ee17d22-a547-4f67-81b9-a0363ad1ea67.jpg

11.3.2 Given n 2 3 lines in the plane in general position (no two are parallel and no three go through a point), prove that among the regions they divide the plane into, there is at least one triangle.

11.3.2 Given n 2 3 lines in the plane in general position (no two are parallel and no three go through a point), prove that among the regions they divide the plane into, there is at least one triangle.

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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Question

f(x) is a cubic function with the leading coefficient of 1,
and for the positive value of “a,"
g(x) = f[f'(t +a) · f'(t − a)]dt and satisfying,
1/2
g(x) has extreme values only at x =
and x =
131323
2
If f (0) is -, what is the value of "a" multiplied by ƒ (1)?
2'

11.3.2 Given n 2 3 lines in the plane in general position (no two are parallel
and no three go through a point), prove that among the regions they divide the
plane into, there is at least one triangle.

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