A. Find the linear approximating polynomial for the following function centered at the given point a. point a.
b. Find the quadratic approximating polynomial for the following function centered at the given point a.
c. Use the polynomials obtained in parts a. and b. to approximate the given quantity.
f(x) = 16x^3/2 a = 4; approximate 16(4.2^3/2).

(a)

(b)

(c)Using Linear Approximation,L(4.2)=137.6

Using Quadratic Approximation,

Step-by-step explanation:

Given:

(a)Linear Approximation,

(b)Quadratic Approximation,

(c)To approximate:

L(x)=48x-64

L(4.2)=48(4.2)-64=137.6

Also, Using Quadratic Approximation

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

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