The function f1 is defined by: f1(x) = 4Cos(x/2) , x E [0;4[The function f2 is defined by: f2(x) = (1/(4-x)) , x E [0;4[ Let T1 and T2 be the tangents to the curves of equations, at the abscissa points (a) respectively where a E [0;4[.Knowing that the tangents T1 and T2 are perpendicular, show the following equation:(w - a)2 = 2sin (a/2),Where w is a positive integer to be determined? 2. Taking a0= 2.6, solve the equation. Give the answer 10-4.

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Description: The function f1 is defined by: f1(x) = 4Cos(x/2) , x E [0;4[The function f2 is defined by: f2(x) = (1/(4-x)) , x E [0;4[ Let T1 and T2 be the tangents to the curves of equations, at the abscissa points (a) respectively where a E [0;4[.Knowing that

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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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The function f₁ is defined by: f₁(x) = 4Cos(x/2) , x E [0;4[

The function f₂ is defined by: f₂(x) = (1/(4-x)) , x E [0;4[

Let T₁ and T₂ be the tangents to the curves of equations, at the abscissa points (a) respectively where a E [0;4[.

Knowing that the tangents T₁ and T₂ are perpendicular, show the following equation:

(w - a)²= 2sin (a/2),

Where w is a positive integer to be determined?

2. Taking a₀= 2.6, solve the equation. Give the answer 10^-4.

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Solution: (1)

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