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?Compare the values of \(\Delta y\) and dy if x changes from 1 to 1.05. What if x
Chapter 3, Problem 29(choose chapter or problem)
QUESTION:
Compare the values of \(\Delta y\) and dy if x changes from 1 to 1.05. What if x changes from 1 to 1.01? Does the approximation \(\Delta y \approx d y\) become better as \(\Delta x\) gets smaller?
\(f(x)=\sqrt{5-x}\)
Questions & Answers
QUESTION:
Compare the values of \(\Delta y\) and dy if x changes from 1 to 1.05. What if x changes from 1 to 1.01? Does the approximation \(\Delta y \approx d y\) become better as \(\Delta x\) gets smaller?
\(f(x)=\sqrt{5-x}\)
ANSWER:Step 1 of 3
For any function , the formula to find is and the formula to find is .
It is given that, when and . Secondly, when and .