(a)
The value of f(4) and
(a)
Answer to Problem 56RE
The value is
Explanation of Solution
Given information:
The given polynomial of order four of the function
Formula used:
Calculation:
Polynomial of order four of a function f (x) is given by at x = a
Now, comparing the expression with the given polynomial, where a = 4
Therefore,
Conclusion:
The value is
(b)
The second Taylor polynomial for
(b)
Answer to Problem 56RE
The value is
Explanation of Solution
Given information:
The given polynomial of order four of the function
Formula used:
Substitution method is used.
Calculation:
Since,
Series of
Therefore,
The value of
Conclusion:
The value is
(c)
The fourth Taylor polynomial for
(c)
Answer to Problem 56RE
The value is
Explanation of Solution
Given information:
Formula used:
Substitute the value of x=4
Calculation:
The fourth order polynomial for
Therefore,
Conclusion:
The value is
(d)
The value of f(3)
(d)
Answer to Problem 56RE
The exact value of f (3) if the function converge to f (x) at x = 3
Explanation of Solution
Given information:
Formula used:
Substitution method is used.
Calculation:
No, it is not possible to determine the exact value of f (3), to determine the exact value the entire series. The exact value of f (3) if the function converge to f (x) at x = 3
Conclusion:
The exact value of f (3) if the function converge to f (x) at x = 3
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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