Show thatOW=L isx•O let a(x) be the step funetionShow that b x

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Answered: Show that O let @ (x) be the step…

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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Page No. Date: Giue Functions f andgy Find 9). CFog) G) and its dlomiain, and Bs I (GOFS () and its O F(x)=-6x+q,96)= 5X+7 Ø F(x)-Vx, 9a)=x+} ! F(x)=VXール gcx)23x 6 F&) =2 g(x)=x+1 F(x)のV×+2, 9x)2-1 メ+S FX)=! X-2 イニ(めメ SHOT ON MI9T. Al TRIPLE CAMERA
The Intermediate Value Theorem can be used to approximate a root. The following is an example of binary search in computer science. Suppose you want to approximate /8. You know that it is between 2 and 3. If you consider the function f(x) = a? – 8, then note that f(2) 0. Therefore by the Intermediate Value Theorem, there is a value, 2 < c < 3 such that f(c) = 0. Next choose the midpoint of these two values, 2.5, which is guaranteed to be within 0.5 of the acutal root. f(2.5) will either be less than 0 or greater than 0. You can use the Intermediate Value Theorem again replacing 2.5 with the previous endpoint that has the same sign as 2.5. Continuing this process gives a sequence of approximations rn with T1 = 2.5. How many iterations must you do in order to be within 0.00390625 of the root?
Q2(b) Constxuct Lagaange interpoation Polynomial for function ye sin RX taking Paint
It Sino and o is in avuadrant 1l, fina the exact values of the other fPve trigo nome tric functions Of o
The Intermediate Value Theorem can be used to approximate a root. The following is an example of binary search in computer science. Suppose you want to approximate /8. You know that it is between 2 and 3. If you consider the function f(x) = x? – 8, then note that f(2) 0. Therefore by the Intermediate Value Theorem, there is a value, 2 < c < 3 such that f(c) = 0. Next choose the midpoint of these two values, 2.5, which is guaranteed to be within 0.5 of the acutal root. f(2.5) will either be less than 0 or greater than 0. You can use the Intermediate Value Theorem again replacing 2.5 with the previous endpoint that has the same sign as 2.5. Continuing this process gives a sequence of approximations xn with x1 = 2.5. How many iterations must you do in order to be within 0.015625 of the root?

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Show that O let @ (x) be the step funetion Show that b x