Question

Hi, I'm absolutely stuck on this problem. This is for a newton's method/linearization unit. Find an equation for the curve in the xy-plane that passes through the point (1,-1) if its slope at x is always 3x^2+2.

Answer 1

dy/dx = 3x^2+2
so
y = x^3 + 2 x + c

if x = 1, y = -1
-1 = 1 + 2 + c
c = -4

y = x^3 + 2 x - 4

Answer 2

I do not know why you would want to use Newton's Method.

Answer 3

This was on a test I took earlier and I'm going back now to fix my mistakes. Thank you Damon-you've been a big help!