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

5050 i think

step-by-step explanation:

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)