a.
To find: The third order Taylor polynomial and approximate the value of
a.
Answer to Problem 55RE
Third order Taylor series will is
Explanation of Solution
Given:
Calculation:
Taylor series at x=a is given by,
Now, substituting the given value third order Taylor polynomial will be,
Now, approximate value will be,
b.
To find: The second order Taylor polynomial for
b.
Answer to Problem 55RE
Second order Taylor polynomial is
Explanation of Solution
Given:
Calculation:
Taylor series is given at x=a is given by,
Second order Taylor polynomial is given by,
Now, approximate value at x=2.7 will be,
c.
To find: if the linearization of f underestimates or overestimates value of f(x).
c.
Answer to Problem 55RE
Linearization of f underestimates value of f(x).
Explanation of Solution
Given:
Calculation:
Linearization of function at x = a is given by,
Now, substituting the given values,
Since,
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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