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?Compare the values of \(\Delta y\) and dy if \(x\) changes from \(1\) to \(1.05\). What
Chapter 3, Problem 30(choose chapter or problem)
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?
\(f(x)=\frac{1}{x^{2}+1}\)
Equation Transcription:
Text Transcription:
delta y
x
1
1.05
1.01
Delta y approx dy
Delta x
f(x) = 1/x^2 + 1
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?
\(f(x)=\frac{1}{x^{2}+1}\)
Equation Transcription:
Text Transcription:
delta y
x
1
1.05
1.01
Delta y approx dy
Delta x
f(x) = 1/x^2 + 1
ANSWER:Step 1 of 2
Let us consider the function,