# 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).

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
MathCalculus

### Other 