Question

Use linear approximation to approximate √36.4 as follows.

Let f(x)=√x. The equation of the tangent line to f(x) at x=36 can be written in the form y=mx+b. Compute m and b.

m=

b=


Using this find the approximation for √36.4.

Answer:

Answer 1

hi

Answer 2

hi

Answer 3

f(x)=f(a) +f´(a) (x-a)
f(a) = sqrt(36)=6
f´(a) =1/2sqrt36 = 1/12
so f(36.4) = 6 +1/12 (36.4-36) = 6+0.0333 =6.0333
The real value is 6.033241252 so why would wed use 9 significant figures

Answer 4

@Ghelper81 im a little confused

Answer 5

why?