Solution Found!
Solution: Errors in approximations Carry out the procedure
Chapter 7, Problem 81E(choose chapter or problem)
Errors in approximations Carry out the procedure described in Exercise 77 with the following functions and approximations.
\(f(x)=\tan x, p_{1}(x)=x, p_{3}(x)=x+\frac{x^{3}}{3}\)
Questions & Answers
QUESTION:
Errors in approximations Carry out the procedure described in Exercise 77 with the following functions and approximations.
\(f(x)=\tan x, p_{1}(x)=x, p_{3}(x)=x+\frac{x^{3}}{3}\)
ANSWER:Solution 81E
Step 1:
Given , f(x) = tan(x) , , and
By , using Exercise 77 with the given functions and approximations are ;
tan (-0.2) = -0.2027100355 , ,
And = - 0.2 -0.00266667 = -0.200266667
tan(-0.1) = -0.100334672 , ,
And = - 0.1 -3.3333333
= -0.1003333333
tan(0) = 0 , , And
= 0
tan(0.1) = 0.100334672 , ,
And = 0.1 + 3.3333333
= 0.1003333333
tan (0.2) = 0.2027100355 , ,
And = 0.2 +0.00266667 = 0.200266667