Question

estimate change in f using the linear approximation and compute both error and the % error

f(x)= (3+x)^1/2

a=1

change in x=0.5

Answer 1

estimate ln(e^2+0.1)-ln(e^2)

Answer 2

f(x) = ln x
df = (df/dx) dx

df = (1/x) dx

f(x+dx) = f(x) + (df/dx) dx

f( e^2 + 0.1) = ln(e^2) + (1/e^2)(0.1)

f(e^2 +0.1) - ln(e^2) = 0.1/e^2

= .0135335

Answer 3

no copy and paste for me any more I guess.