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insens350 [35]
3 years ago
5

What is f(2) if the linearization of f(x) at a = 2 is l(x) = 12x + 4?

Mathematics
1 answer:
Sliva [168]3 years ago
4 0
The linearization at f(a) is
.. l(x) ≈ f(a) +f'(a)*(x -a)
Then
.. l(a) = f(a)

f(2) = l(2) = 12*2 +4
f(2) = 28
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-4x - 5y = 7

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You can add these two equations together straightaway since the y-terms have opposite coefficients.

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+___________

-x - 0 = -7

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