Don't give me the wrong irrelative answer again!!!!!!!!!!!!!!! Let a < b and let f(x) be a continuously differentiable function on theinterval [a, b] with f(x) > 0 for all x € [a, b].Let A > 0, B > 0 be constants.functionalS[y] = [° dæƒ(x)√²+y^², y(a) = A, y(b) = B,ais given byy(x) = A + Bx[²aB-A= Bdw1√f(w)² - 3²¹where is a constant satisfying= 3 [ duedwastationary path of the1√f(w)² – ß²°Using the inequality (which is valid for all real z and u)Հա√1 + (z+u)² − √√√1+z²>√1+z²or otherwise, show that the stationary path gives aglobal minimum of the functional S[y].??

Answered: Image /qna-images/answer/23979def-8983-4871-aa23-99353c5f6ff7.jpg

Let a < b and let f(x) be a continuously differentiable function on the interval [a, b] with f(x) > 0 for all x € [a, b]. Let A > 0, B > 0 be constants. functional S[y] = [° dæƒ(x)√²+y^², y(a) = A, y(b) = B, a is given by y(x) = A + B [² [ a dw B-A= B 1 √f(w)² - 3²¹ where is a constant satisfying 1 = 1 [dre - √5(23) ² = 3² dw √f(w)² a stationary path of the Using the inequality (which is valid for all real z and u) zu √1 + (z+u)² − √√1 + x² > √1+z²¹ or otherwise, show that the stationary path gives a global minimum of the functional S[y]. ??

Let a < b and let f(x) be a continuously differentiable function on the interval [a, b] with f(x) > 0 for all x € [a, b]. Let A > 0, B > 0 be constants. functional S[y] = [° dæƒ(x)√²+y^², y(a) = A, y(b) = B, a is given by y(x) = A + B [² [ a dw B-A= B 1 √f(w)² - 3²¹ where is a constant satisfying 1 = 1 [dre - √5(23) ² = 3² dw √f(w)² a stationary path of the Using the inequality (which is valid for all real z and u) zu √1 + (z+u)² − √√1 + x² > √1+z²¹ or otherwise, show that the stationary path gives a global minimum of the functional S[y]. ??

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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