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Calculus
The function f(x) is approximated near x=0 by the second degree Taylor polynomial P2(x)=1−3x+2x^2.
Give values:
f(0)=
f′(0)=
f′′(0)=
Give values:
f(0)=
f′(0)=
f′′(0)=
Calculus
Find a linear approximation of the function f(x)= cube root(1+x) at a=0, and use it to approximate the numbers cube root(.95) and cube root(1.1)
Round your answers to the nearest thousandth.
cube root(1+x)≈
cube root(.95)≈
cube root(1.1)≈
Round your answers to the nearest thousandth.
cube root(1+x)≈
cube root(.95)≈
cube root(1.1)≈
Calculus
Find the linearization L(x) of the function
f(x)=1/(1+2x)^4 at a=0
f(x)=1/(1+2x)^4 at a=0
Calculus
Find the linearization L(x) of the function
f(x)=x^4−x^2+2 at x=1.
f(x)=x^4−x^2+2 at x=1.
Calculus
Find the second-degree Taylor polynomial for f(x)=2x2−8x+6 about x=0.
P2(x)=
P2(x)=
Calculus
Find a linear approximation of the function f(x)=1/(1+2x)^4 at a=0.
Calculus
Find a linear approximation of the function f(x)=3rdsqrt(1+x) at a=0, and use it to approximate the numbers 3rdsqrt(.95) and 3rdsqrt(1.1).
Round your answers to the nearest thousandth.
3rdsqrt(1+x≈
3rdsqrt(.95)≈
3rdsqrt(1.1)≈
Round your answers to the nearest thousandth.
3rdsqrt(1+x≈
3rdsqrt(.95)≈
3rdsqrt(1.1)≈
Calculus
Find the linearization L(x) of the function?
f(x)=x^4−x^2+2 at x=1.
f(x)=lnx at a=1
f(x)=x^4−x^2+2 at x=1.
f(x)=lnx at a=1
Calculus
Find the linearization L(x) of the function at a.
f(x)=lnx,a=1
L(x)=
f(x)=lnx,a=1
L(x)=
Calculus
Find the linearization L(x) of the function f(x)=x4+3x2−1 at x=1.
Answer: L(x)=
Answer: L(x)=
