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CalculusQ&A LibraryThe 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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