# Find the approxim

Let

Δx and Δy are very small changes in x and y respectively.

As x changes from 2 to 2.002

x = 2

Δx = 2.002 – 2 = 0.002

The change Δy with change Δx is given by

Let us find

y = x-2

Substitute in (i)

Substitute values x = 2 and Δx = 0.002

Δy = -0.0005

As Δy is negative which implies y decreases.

Hence y decreases by 0.0005 as x goes from 2 to 2.002.

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