Question

I don't know how to start..

Use linear approximation i.e. the tangent line to approximate 4.9^2 as follows:
Let f(x) = x^2. The equation to the tangent line to f(x) at x=5 can be written in the form y=mx+b.
m=
b=
Using this we find our approximation of 4.9^2 is...

Answer 1

find the tangent line that goes through (5,25), then plug 4.9 in for x

Answer 2

is y=10x+25 the tangent line?

Answer 3

yes

Answer 4

oh no

Answer 5

but 4.9^2 is a big number.

Answer 6

it's 10x - 25

Answer 7

10(4.9) - 25 = 24
and 4.9^2 = 24.01,

the two number are very closed to each other