?Linear Approximation To find a linear approximation to the graph of the function in Example 5 \(y=\arcsin x+x \sqrt{1-x^{2}}\) you d
Chapter 3, Problem 72(choose chapter or problem)
Linear Approximation To find a linear approximation to the graph of the function in Example 5
\(y=\arcsin x+x \sqrt{1-x^{2}}\)
you decide to use the tangent line at the origin, as shown below. Use a graphing utility to describe an interval about the origin where the tangent line is within 0.01 unit of the graph of the function. What might a person mean by saying that the original function is “locally linear”?
Text Transcription:
y=arcsin x+x sqrt 1-x^2
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