For the set of data given below: 1 1.5 1.6 2.5 3.5 f(x) 0.6767 0.3734 0.3261 0.08422 0.01596 a) Find the values: f(x) when x=1.3 using Newton's interpolation method.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question 3:
For the set of data given below:
1
1.5
1.6
2.5
3.5
f(x)
0.6767
0.3734
0.3261
0.08422
0.01596
a) Find the values: f(x) when x=1.3 using Newton's interpolation method.
a
b) Find a and b which best fit the curve: y= b/x , then find the value of: f(x) when x=3
3.5
c) Calculate the integration , f(x)dx Using Composite Trapezoid Method.
Transcribed Image Text:Question 3: For the set of data given below: 1 1.5 1.6 2.5 3.5 f(x) 0.6767 0.3734 0.3261 0.08422 0.01596 a) Find the values: f(x) when x=1.3 using Newton's interpolation method. a b) Find a and b which best fit the curve: y= b/x , then find the value of: f(x) when x=3 3.5 c) Calculate the integration , f(x)dx Using Composite Trapezoid Method.
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