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Question #19262

Find the degree 3 Taylor polynomial T3(x) of the function f(x)=(−5x+34)3/2 at a=6.
T3(x)=

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**1.**Write the Taylor polynomial T5(x) for the function f(x)=cos(x) centered at x=0. Answer: T5(x)=**2.**Find the Taylor polynomials of degree n approximating 2/(3−3x) for x near 0: For n=3, P3(**3.**The function f(x) is approximated near x=0 by the second degree Taylor polynomial P2(x)=1−**4.**Find a linear approximation of the function f(x)= cube root(1+x) at a=0, and use it to approximate t**5.**Find the linearization L(x) of the function f(x)=1/(1+2x)^4 at a=0**6.**Find the linearization L(x) of the function f(x)=x^4−x^2+2 at x=1.**7.**Find the second-degree Taylor polynomial for f(x)=2x2−8x+6 about x=0. P2(x)=

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