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# Best Homework Help For Linearization And Differentials

## Linearization And Differentials:

If ƒ(x) is a differentiable real function at x=a, then the approximating function   t(x) =ƒ(a) + ƒ′(a) (x – a)  is called the linearization of f at a.

## Linearization And Differentials Sample Questions:

Question 1: Estimate 11,907 + 3,789

(a) 4

(b) 3

(c) 2

(d) 1

Explanation:

Question 2:

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Question 3:

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Question 4:

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Question 5:

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Question 6:

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Question 7:

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Question 8: Differentials are often constrained to be______?

(a) Very small quantities

(b) Very large quantities

(c) Constant

(d) None

Explanation: Differentials are often constrained to be very small quantities.

Question 9: A linear approximation normally loses accuracy away from its ____?

(a) Extreme points

(b) Center

(c) Both

(d) None

Explanation: If ƒ(x) is a differentiable real function at x=a, then the approximating function t (x) =ƒ(a) + ƒ′(a) (x – a) is called the linearization of f at a.

Question 10: