Question

Estimate f using the Linear Approximation and use a calculator to compute both the error and the percentage error.
f(x)=sqrt(6+x) a=3 deltax=−01

f
With these calculations, we have determined that the square root of is approximately
The error in Linear Approximation is:

Answer 1

L(x) = f(a) + (x-a)f'(a)
=sqrt(6+a) + (x-a){1/(2*sqrt(6+a))}

L(a+0.3) = sqrt(6+a)+1/2*(0.3)/sqrt(6+a)

while our value as f(a+0.3) = sqrt(6+a+0.3)

error= L(a+0.3) - f(a+0.3)

Answer 2

for a=0,

Answer 3

dont really understand your answer