Question

Suppose the line y=5x-4 is tangent to the curve y=f(x) when x=3. If Newton's method is used to lacte a root of the equation f(x)=0 and the initial approximation of xsub1=3, find xsub2.

Answer 1

locate*

Answer 2

this question is asking where the line
\[y=5x-4\] crosses the x - axis

Answer 3

yep

Answer 4

using newton's method

Answer 5

yes you are trying to find where the curve crosses the x - axis, "newton's method" finds the equation for the tangent line and asks where that line crosses the x - axis. that is easy to find. set the equation for the line equal to zero and solve

Answer 6

wow, that was much simpler than i thought. thanks!