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Task 1. Given the function . Calculate the increment and its linear part when changes from to .
The answer: .
Task 2. Calculate the increment and the differential of the function when and . Calculate the absolute and relative errors as the increment is replaced by the differential.
The answer: absolute error 0,04;
relative error .
Task 3. Find the differentials of the functions:
а) ; b) ; b) 5 ; c) .
Task 4. Find the differentials of the functions: а) ; b) .
The answer: а) ; b) .
Task 5. Find the differentials of the functions: а) ; b) .
Task 6. Calculate the approximate value of the function as changes from to . What is the value of ?
The answer: .
Task 7. Calculate approximately: а) ; b) .
The answer: а) ; b) .
Завдання 8. Represent the differential of the following functionsin terms ofindependent variable and its differential:
а) , ; б) , .
Answer: а) ; b) .
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