Question
The point P(8, 1) lies on the curve
y =
x − 7
.
(a) If Q is the point
(x,
x − 7
),
use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 7.5
(ii) 7.9
(iii) 7.99
(iv) 7.999
(v) 8.5
(vi) 8.1
(vii) 8.01
(viii) 8.001
y =
x − 7
.
(a) If Q is the point
(x,
x − 7
),
use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 7.5
(ii) 7.9
(iii) 7.99
(iv) 7.999
(v) 8.5
(vi) 8.1
(vii) 8.01
(viii) 8.001
Answers
If Q is where the slope of PQ is just
f(x)-f(8)
--------------
x-8
Now just plug and chug
f(x)-f(8)
--------------
x-8
Now just plug and chug
the point with coordinates (1+√3,5√3) lies on the curve with the equation 2x^2+px+Q. find values of p