Let y = sin(2a). If Ax 0.1 at x = 0, use linear approximation to estimate Ay %3D Ay 2 = Find the percentage error % error =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Plz check the pic & plz explain. ?Thanks.

0, use linear approximation to estimate Ay
Let y = sin(2x). If Aæ = 0.1 at æ
Ay 2
Find the percentage error
%
error =
Transcribed Image Text:0, use linear approximation to estimate Ay Let y = sin(2x). If Aæ = 0.1 at æ Ay 2 Find the percentage error % error =
Expert Solution
Step 1

In this question, concept of Linear Approximation is used.

Linear Approximation

The equation of a tangent line provides the basis for the linear approximation formula. The slope of a tangent traced to a curve y = f(x) at x = a is known to be its derivative at that point. i.e., the slope of the tangent line is f'(a). As a result, the linear approximation formula is a derivative application.

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