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question: Find the linear approximation, L ( x ), of f ( x ) = x at x =4. L ( x ) = Use the linear approximation to approximate 4. L (4.
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question:Find the linear approximation, Lx of fxxxL  Use the linear approximation to approximate 4.3.Land

(),

() = 

 at  = 4.

(x) =

(4.3) =

 

Use Newton's method to approximate the positive root of x3 + 3x − 5 = 0

 to three consistent decimal places.


and

Use Newton's method to approximate all real roots of x4 − x − 1 = 0

 to three consistent decimal places. (Enter your answers as a comma-separated list.)

x =

  

and

Find the global minimum and maximum of the continuous function f(x) = x2 − 8 ln(x)

 on [1, 4].

 (Round your answers to two decimal places.)

global minimum value _______

global maximum value ________

 

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Subject: Calculus, Math

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