1. Math
  2. Calculus
  3. the point p5 1 lies on the curve ysquare root...

Question: the point p5 1 lies on the curve ysquare root...

Question details

The point P(5, 1) lies on the curve y=square root of x-4

(a) If Q is the point(x, square root of x-4

use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.

(i)    4.5


(ii)    4.9


(iii)    4.99


(iv)    4.999


(v)    5.5


(vi)    5.1


(vii)    5.01


(viii)    5.001


(b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at

P(5, 1).



(c) Using the slope from part (b), find an equation of the tangent line to the curve at

P(5, 1).

y =



(d) Sketch the curve, two of the secant lines, and the tangent line.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution