(i) Determine a common deviation bound for |z-√5), ly-√7 and |s - VII for which |(x+y+z)-(√5 + √7+√II) <0.005. That is, z+y+: is accurate to √5 +√7+ √II by 2 decimal places. (ii) Draw a mapping diagram to illustrate your answer to (i). (iii) Now generalize to determine a deviation bound & for which |z-√√5 <8 & \y-√7 < 6 & 2-√II < 6 →|(x+y+z)-(√5+√7+√II) < e.
(i) Determine a common deviation bound for |z-√5), ly-√7 and |s - VII for which |(x+y+z)-(√5 + √7+√II) <0.005. That is, z+y+: is accurate to √5 +√7+ √II by 2 decimal places. (ii) Draw a mapping diagram to illustrate your answer to (i). (iii) Now generalize to determine a deviation bound & for which |z-√√5 <8 & \y-√7 < 6 & 2-√II < 6 →|(x+y+z)-(√5+√7+√II) < e.
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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Transcribed Image Text:Question 1
(i) Determine a common deviation bound for 2-√5, ly-√7 and |z − √II|
for which
|(x+y+z)-(√5 +√7+ √II) <0.005.
That is, az + y + z is accurate to √5+√7+√II by 2 decimal places.
(ii) Draw a mapping diagram to illustrate your answer to (i).
(iii) Now generalize to determine a deviation bound 6 for which
|x-√5 <8 & \y-√7 < 6 & 2-√II < 6 →|(x+y+z)-(√5+√7+√II)| < €.
(iii) Draw a mapping diagram to illustrate your answer to (ii).
(iv) What common accuracy in cutting the sides of a desired triangle of sides
√5, √7 and √II cm is sufficient to guarantee that the actual perimeter is within
an error bound 0.00005 of the ideal perimeter?
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