The point P(16 , 6 ) lies on the curve y = \sqrt{ x } + 2 .
Let Q be the point (x, \sqrt{ x }+ 2 ) .

** a.) ** Find the slope of the secant line PQ for the following
values of x . (Answers here should be correct to at least 6 places
after the decimal point.)

Ifx= 16.1 , the slope of PQ is:

Ifx= 16.01 , the slope of PQ is:

Ifx= 15.9 , the slope of PQ is:

Ifx= 15.99 , the slope of PQ is:

** b.) ** Based on the above results,
estimate the slope of the tangent
line to the curve at P(16 , 6 ) .

Answer:

If

If

If

If

Answer:

You can earn partial credit on this problem.