Question

Find the Taylor polynomial of degree 3, centered at a=4 for the function f(x)= sqrt (x+4)

Answer #1

Find the degree 3 Taylor polynomial T3 (x) centered
at a = 4 of the function f(x) = (-7x+36)4/3

(1 point) Find the degree 3 Taylor polynomial T3(x) centered
at a=4 of the function f(x)=(7x−20)4/3.
T3(x)=
? True False Cannot be determined The function f(x)=(7x−20)4/3
equals its third degree Taylor polynomial T3(x) centered at a=4.
Hint: Graph both of them. If it looks like they are equal, then do
the algebra.

approximate the function f(x)= 1/sqrt(x) by a taylor polynomial
with degree 2 and center a=4. how accurate is this approximation on
the interval 3.5<x<4.5?

Find the Taylor degree 4 polynomial of ? (?) = −? ∗ ??? (?)
centered on 0 and find the interval
for which the approximation has a smaller error or than a.
???.

let f(x)=cos(x). Use the Taylor polynomial of degree 4
centered at a=0 to approximate f(pi/4)

Find the second degree polynomial of Taylor series for f(x)=
1/(lnx)^3 centered at c=2. Write step by step.

Find the degree-2 Taylor polynomial for the function f(x, y) =
exy at the point (4, 0).

For the function f(x) = ln(4x), find the 3rd order Taylor
Polynomial centered at x = 2.

a) Find the 2nd degree maclaurin polynomial for f(x) = sqrt(1+x)
to estimate value of sqrt(1.1)
b)Find Taylor polynomial of 4th degree at x0=1 of f(x) = e^x to
estimate value of e^5. Is the estimate good?

(1 point) Find the degree 3 Taylor polynomial T3(x) of
function
f(x)=(7x+67)^(5/4)
at a=2
T3(x)=?

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