A. find a linear approximation of 4√14 . b. justify visually whether your approximation is an over- or underestimate.

15

Step-by-step explanation:

Let f(x) be the function

A linear approximation of f is the Taylor polynomial of degree one:

Taking a = 16, and given that

we get

so

Since 16 > 14, we can deduce that this is an overestimate.

b. hoped i'm right lol

step-by-step explanation:

1. 16.64

a^2+b^2=c^2

pr^2=pq^2+qr^2

pr^2=14^2+ 9^2

pr^2=196+81

pr= sqr root of 277

16.64

2. 11.31

c^2-a^2=b^2

18^2- 14^2=b^2

b^2=324-196

b=sqr root of 126

b=11.31

hope it ! (btw im in connections academy to, good luck! )