1. The problem statement, all variables and given/known data 1. For the curve y = x^2+ x, and the point P (1,2) a) determine the slope of the secant mPQ if Q(2, 6) b) what is the slope of the secant if Q is at the following values of x 1.5 1.1 1.01 1.001 c) Estimate the value of the tangent to the curve at P. Reason? 2. Relevant equations Y'= f(x+h)-f(x) ------------ h 3. The attempt at a solution If i plug in the numbers into the y' equation i would get y' = (2+h)^2 + 2 + h - 6 --------------------- h which is h^2 + 5 and then h-> 0 so h = 5 I'm not sure if that is right, because isn't slope Δy/Δx ? and doing that would give me 4. and when I use the slope function 2x+1, at point 2, 2(2)+1 = 5. So I'm very confused between the difference in finding out the tangent line or the secant line. If you can just show me how to find the secant line in a) i can figure out b) on my own. Thanks!