a.
To find: To find the true change in the given function.
a.
Answer to Problem 27E
The true change in the given function
Explanation of Solution
Given: The function
Formula used:
Calculation:
The given function is
The true change can be found using the formula
The given conditions are
By substituting the above values in the formula,
Conclusion:
The true change in the given function
b.
To find: To find the estimated change in the given function.
b.
Answer to Problem 27E
The estimated change in the given function
Explanation of Solution
Given: The function
Formula used:
Calculation:
The given function is
The estimated change can be found using the formula
The given conditions are
By substituting the above values in the formula,
Differentiating the function with respect to x,
Substituting
Substituting in the formula,
Conclusion:
The estimated change in the given function
c.
To find: To find the approximate error in the given function.
c.
Answer to Problem 27E
The approximate error in the given function
Explanation of Solution
Given: The function
Formula used:
Calculation:
The given function is
The true change can be found using the formula
The given conditions are
By substituting the above values in the formula,
Approximate error will be
Conclusion:
The approximate error in the given function
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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