(a)
The linearization approximation of f at x=0.
(a)
Answer to Problem 30E
The value is
Explanation of Solution
Given information:
The given function is
Formula used:
Calculation:
Differentiating
Therefore,
Linearization of the function is given by
Conclusion:
The value is
(b)
The
(b)
Answer to Problem 30E
The value is
Explanation of Solution
Given information:
The given function is
Formula used:
Differentiation method is used.
Calculation:
Differentiating
Therefore,
Conclusion:
The value is
(c)
The graph of the function
(c)
Answer to Problem 30E
The linear and quadratic approximations fit the graph of the function near x = 0
Explanation of Solution
Given information:
The given function is
Formula used:
The linear and quadratic approximations are used.
Calculation:
As can be seen from the graphs the linear and quadratic approximations fit the graph of the function near x = 0.
Conclusion:
The linear and quadratic approximations fit the graph of the function near x = 0
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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