(a)
To find: P(x) by computing the coefficients.
(a)
Answer to Problem 32E
P(x) is
Explanation of Solution
Given:
The function is
Calculation:
Hence, P(x) can be written as:
Conclusion:
The given function increases in the interval
(b)
To find: The coefficient for
(b)
Answer to Problem 32E
The coefficient for
Explanation of Solution
Given:
The function is
Calculation:
From the Taylor series, the value of
Conclusion:
The coefficient for
(c)
To show:
(c)
Answer to Problem 32E
The given quantity
Explanation of Solution
Given:
The function is
Calculation:
The value of varies from
This shows;
Hence, it can be said that:
Conclusion:
The given quantity
(d)
The third order Taylor polynomial for G.
(d)
Answer to Problem 32E
The third order Taylor polynomial for G is
Explanation of Solution
Given:
Calculation:
Conclusion:
The third order Taylor polynomial for G is
Chapter 9 Solutions
CALCULUS-W/XL ACCESS
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