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# The point P (2,9) lies on the curve y=x 2 +x+3. If Q is the point (x,x 2 +x+3), find the slope of the secant line PQ for the following values of x....

The point P (2,9) lies on the curve y=x2+x+3. If Q is the point (x,x2+x+3), find the slope of the secant line PQ for the following values of x.

A. If x=2.1, find the slope of PQ.

B. If x=2.01, find the slope of PQ.

C. If x=1.9, find the slope of PQ.

D. If x=1.99, find the slope of PQ.

E. Based on the above results, guess the slope of the tangent line to the curve at P (2,9).