Consider the function f(a) =V Use a 6-digit truncating arith- metic. (a) Find f(100). (b) Find the relative error on f(100) given that the true value is /(100)-0.0010000. (e) How would you explain the relative error in part (b). Suggest an expression that will allow a hetter computation of /(100). (d) Within the same context, rewrite the function f(x) +4-i to increase its accuracy for large positive values of %D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Considor the function f(a) = Vr
V- Use a 6-digit truncating arith-
metic.
(a) Find f(100).
(b) Find the relative error on /(100) given that the true value is /(100) 0.0010000.
(e) How would yon explain the relative error in part (b). Suggest an expression that will
allow a better computation of f(100).
(d) Within the same context, rewrite the function f(r)
accuracy for large positive values of z
VE+1- Vī to inerease its
%3D
Transcribed Image Text:Considor the function f(a) = Vr V- Use a 6-digit truncating arith- metic. (a) Find f(100). (b) Find the relative error on /(100) given that the true value is /(100) 0.0010000. (e) How would yon explain the relative error in part (b). Suggest an expression that will allow a better computation of f(100). (d) Within the same context, rewrite the function f(r) accuracy for large positive values of z VE+1- Vī to inerease its %3D
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