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Round off to two decimal place The table Time (xi) Balance (y₁ = F(xx₂)) O e 1 40.00 3200 3 10 625 9093 4 7220 depicts the balance (in Rands) of a bank account at intervals of 1 month ave a period of 4 months. Here 4 while the quantities x₁=0 and i=0, 1, 2,. Yo = 4000, respectively, represent the time the decourt was opened and initiell balance of the account. a Construct a divided difference table for the above dala.

Round off to two decimal place The table Time (xi) Balance (y₁ = F(xx₂)) O e 1 40.00 3200 3 10 625 9093 4 7220 depicts the balance (in Rands) of a bank account at intervals of 1 month ave a period of 4 months. Here 4 while the quantities x₁=0 and i=0, 1, 2,. Yo = 4000, respectively, represent the time the decourt was opened and initiell balance of the account. a Construct a divided difference table for the above dala.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 37E
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132 3 pod $145 Round off to two decimal place The table C) Time (xi) Balance (Y₁ = F(x₂)) O 4000 1 3200 2 3 4 10 625 9093 7220 depicts the balance (in Rands) of a bank account at interials of 1 month are a period of 4 months. Here i = 0, 1, 2, ..., 4 while the quantities xo=0 and Yo = 4000, respectively, represent the time the grecourt was opened and initiell balance of the account. a) Construct a divided difference table for the above dala. b) Use the table represented in Port a), along with Newton's divided difference Formule, to approximate Fca.5) with a polynomial of degree 3, P₂000). Use x₁ = 4 as the startine) neele of the polynomia ( [Hint: Read the table from the "dainside up" I Estimate the error in the approximation in Part b).
Transcribed Image Text:132 3 pod $145 Round off to two decimal place The table C) Time (xi) Balance (Y₁ = F(x₂)) O 4000 1 3200 2 3 4 10 625 9093 7220 depicts the balance (in Rands) of a bank account at interials of 1 month are a period of 4 months. Here i = 0, 1, 2, ..., 4 while the quantities xo=0 and Yo = 4000, respectively, represent the time the grecourt was opened and initiell balance of the account. a) Construct a divided difference table for the above dala. b) Use the table represented in Port a), along with Newton's divided difference Formule, to approximate Fca.5) with a polynomial of degree 3, P₂000). Use x₁ = 4 as the startine) neele of the polynomia ( [Hint: Read the table from the "dainside up" I Estimate the error in the approximation in Part b).
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