* Recall that the error due to linear interpolation of the function f(x) on [xo, x1] is f"(Em) e1(2) = f(x) – p1 (2) = (x – ro) (x – 11) 2! for some E E (xo, x1). Suppose that the function f(x) = sin x is tabulated at equal intervals of length h. What value of h will ensure that the use of linear interpolation between two successive entries in this table will produce an error of no more than 0.5 x 10-4?
* Recall that the error due to linear interpolation of the function f(x) on [xo, x1] is f"(Em) e1(2) = f(x) – p1 (2) = (x – ro) (x – 11) 2! for some E E (xo, x1). Suppose that the function f(x) = sin x is tabulated at equal intervals of length h. What value of h will ensure that the use of linear interpolation between two successive entries in this table will produce an error of no more than 0.5 x 10-4?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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