The point P(4 , 24 ) lies on the curve y = x^2 + x + 4 . Let Q be the point (x, x^2 + x + 4) .

** a.) ** Compute the slope of the secant line PQ for the following values of x .

Whenx= 4.1 , the slope of PQ is:

Whenx= 4.01 , the slope of PQ is:

Whenx= 3.9 , the slope of PQ is:

Whenx= 3.99 , the slope of PQ is:

** b.) ** Based on the above results, guess the slope of the tangent line to the curve at P(4 , 24 ) .

Answer:

When

When

When

When

Answer:

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