1. The problem statement, all variables and given/known data Questions: Imagine a particle along the graph of the function y=x^2+2X. The X-component of the particle changes at a constant rate of 1cm /sec. First, evalute how fast the y-component of the particle is changing at the various points below. Then for each, explain why your answer makes sense with the shape of the graph in mind. This is what I did: Know: dx/dt= 1 x= -3,-2,-1,1 Find: dy/dt= ? y=2X+2 dy/dt= 2(-3)+2 dx/dt =-4 and so on for all four values of x am I right? Thanks!