3. The values of f(x) over the interval 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
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3. The values of f(x) over the interval 0<x<0.5 with dx=0.05 are tabulated as shown
f(x)
f(x)
10
0.30
18.937558
0.05
10.773550
0.35
19.864333
0.10
12.062751
0.40
19.886442
0.15
13.729537
0.45
18.700474
0.20
15.589570
0.50
16.030318
0.25
17.414430
(a) Determine f'"(0.2) using central differences.
(a) Determinef''(0.2) using forward differences.
Transcribed Image Text:3. The values of f(x) over the interval 0<x<0.5 with dx=0.05 are tabulated as shown f(x) f(x) 10 0.30 18.937558 0.05 10.773550 0.35 19.864333 0.10 12.062751 0.40 19.886442 0.15 13.729537 0.45 18.700474 0.20 15.589570 0.50 16.030318 0.25 17.414430 (a) Determine f'"(0.2) using central differences. (a) Determinef''(0.2) using forward differences.
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