A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x). Use this to approximate the value of f(19). O 34.7018 O 35.1905 O none of the choices O 37.1426

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
icon
Related questions
Question
A function f(x) passes through the points (15,24). (18,37), and (22,25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x).
Use this to approximate the value of f( 19).
34.7618
O 35.1905
O none of the choices
O 37.1426
Transcribed Image Text:A function f(x) passes through the points (15,24). (18,37), and (22,25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x). Use this to approximate the value of f( 19). 34.7618 O 35.1905 O none of the choices O 37.1426
A function f(x) passes through the points (15,24), (18,37), and (22.25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x).
Use this to approximate the value of the first derivative f(20).
none of the choices
O -0.0047
O 3.2857
O -2.0099
Transcribed Image Text:A function f(x) passes through the points (15,24), (18,37), and (22.25). Use Newton's Divided Difference Method to interpolate a quadratic polynomial approximation of f(x). Use this to approximate the value of the first derivative f(20). none of the choices O -0.0047 O 3.2857 O -2.0099
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage