Explanation Given: The function is y = 10 − x 2 2 + x 2 , where a = 1 , d x = 0.01 . Formula used: Linear approximation of Δ f : If f is differentiable at x = a and Δ x is small then Δ f ≈ f ′ ( a ) Δ x Calculation: The function is y = 10 − x 2 2 + x 2 . Differentiate the function with respect to x . y ′ = ( 2 + x 2 ) d d x ( 10 − x 2 ) − ( 10 − x 2 ) d d x ( 2 + x 2 ) ( 2 + x 2 ) 2 = ( 2 + x 2 ) ( − 2 x ) − ( 10 − x 2 ) ( 2 x ) (</

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 4.1, Problem 31E

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Estimate the value of Δy using differential.

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Chapter 4.1, Problem 30E

Chapter 4.1, Problem 32E

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Chapter 4 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Estimate the value of Δ y using differential.

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