The point P(2,11)P(2,11) lies on the curve y=x2+x+5y=x2+x+5. Let QQ be the point (x,x2+x+5)(x,x2+x+5). a.) Compute the slope of the secant line PQPQ for the following values of x.x. When x=2.1x=2.1 , the slope of PQPQ is:  When x=2.01x=2.01 , the slope of PQPQ is:  When x=1.9x=1.9 , the slope of PQPQ is:  When x=1.99x=1.99 , the slope of PQPQ is:  b.) Based on the above results, guess the slope of the tangent line to the curve at P(2,11)P(2,11).

Question

The point P(2,11)P(2,11) lies on the curve y=x2+x+5y=x2+x+5. Let QQ be the point (x,x2+x+5)(x,x2+x+5).

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

When x=2.1x=2.1 , the slope of PQPQ is: 
When x=2.01x=2.01 , the slope of PQPQ is: 
When x=1.9x=1.9 , the slope of PQPQ is: 
When x=1.99x=1.99 , the slope of PQPQ is: 

b.) Based on the above results, guess the slope of the tangent line to the curve at P(2,11)P(2,11).

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