Given the discrete data points of [x,_,X,, x]. Choose the CORRECT first derivatives of the finite difference formula. S(x,)- f(x,,) I Central difference formula isf'(x)= x, – x,-1 S(x,)- S(x,) II Backward difference formula is f'(x)= x2 -x, f(x,,)- f(x,) III Forward difference formula is f'(x) = xe1 -x, Il and III I and III III only O I and II Table 2 shows the glove production (in thousand pound) of factory for every 2 months. Table 2 Month 2 4 8. Glove production 25 55 60 120 Determine the rate of the collection amount of glove production on 8 months using backward difference formula. 8.75 60 30 16.25

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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question math 13 & 14 please answer it quickly (in 30 minutes)
Given the discrete data points of [x,_1,x, x;,1] . Choose the CORRECT first
derivatives of the finite difference formula.
Central difference formula is f'(x)=
f(x,)- f(x,1)
I
Hx – 'x
f(x,2)– f(x,)
II
Backward difference formula is f'(x)=
X+2 - X,
S(x,,)- S(x,)
III
Forward difference formula is f'(x) =
'x - x
Il and III
I and III
III only
I and II
Table 2 shows the glove production (in thousand pound) of factory for every 2
months.
Table 2
Month
2
4
6
8
Glove production
25
55
60
120
Determine the rate of the collection amount of glove production on 8 months
using backward difference formula.
8.75
60
30
16.25
Transcribed Image Text:Given the discrete data points of [x,_1,x, x;,1] . Choose the CORRECT first derivatives of the finite difference formula. Central difference formula is f'(x)= f(x,)- f(x,1) I Hx – 'x f(x,2)– f(x,) II Backward difference formula is f'(x)= X+2 - X, S(x,,)- S(x,) III Forward difference formula is f'(x) = 'x - x Il and III I and III III only I and II Table 2 shows the glove production (in thousand pound) of factory for every 2 months. Table 2 Month 2 4 6 8 Glove production 25 55 60 120 Determine the rate of the collection amount of glove production on 8 months using backward difference formula. 8.75 60 30 16.25
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