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Is this right for number 2? Dv/dt = (4/3) (3r^2) dr/dt 4 = (4/3) (3) (1)^2 dr/dt dr/dt = 1/ inch per second
okay so number 1
are u familiar with newtons method?
not really.... Was number 2 right?
let me read
So yep it is 1/pi per second?
1/pi inches per second
ok so that one is done.... now we can do number 1.
okay so newtons method is a very simple concept
okay so lets say we haev a function like this, and u want to see the roots ie where the x intercepts are
the idea is to take some random guess lets say we take the guess 10
it is asking for it on the interval though....
ah im just giving u the basic explanation of newtons method
so the point is to take a guess see what the y value at that x is, then to draw a tangent line from there and see the intersection on the x axis and this intersection is your new guess
okay so can you come up with the equations for th tangent line and the intersection at the x axis now
what point does it intersect the x axis?
lets start with the tangent line equation first
so we have f(x) we take a guess call it g1 (g1,f(g1)) is a point on the curve what is the tangent line there?
the tangent line equation at that point
I dont know we dont know the secant line.
we are given a function f(x)
what do u know in calculus that gives u slopes at points
y=mx+b, lets try to work out the tangent line equation one part at a time so what is m?
the slope and b is the y intercept
we have some function f(x) what is the tangent line slope at the point (g1,f(g1))