Question

The equation of the tangent line to f(x) = sqrt x at x = 49 is y = .

Using this, we find our approximation for sqrt 49.3 is

Answer 1

L(x) ~ f(x) as x->a , where L(x) = f (a) + f ' (a) * ( x - a)

choose a = 49

L(x) = f(49) + f ' (49 ) ( x - 49 )
L(x) = sqrt(49) + 1/(2*sqrt(49)) * ( x - 49)

L(x) = 7 + 1/(2*7) ( x - 49 )

Answer 2

f(49) is 7?

Answer 3

yes, because f(x) = sqrt(x)

Answer 4

then what do you do with the x at the end?

Answer 5

you can distribute it

Answer 6

so the answer has an x in it?

Answer 7

yes, since it is a tangent line

Answer 8

so then whats y

Answer 9

@perl