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The point P(1,51) lies on the curve y=46 x2+5.
(a) If Q is the point (x,46 x2+5), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
.5, .9, .99, .999, 1.5, 1.1, 1.01, 1.001
I plugged all of the values of x into point Q, getting values of
(.5, 16.5)
(.9, 42.26)
(.99, 50.0846)
(.999, 50.908046)
(1.5, 108.5)
(1.1, 60.66)
(1.01, 51.9246)
(1.001, 51.092046)
I then did (13- y)/(1-x) for each of the points getting:
690
87.5
91.54
91.959
115
96.6
92.46
92.046
Somewhere I have gone wrong
Any help would be much appreciated
Thanks
(a) If Q is the point (x,46 x2+5), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
.5, .9, .99, .999, 1.5, 1.1, 1.01, 1.001
I plugged all of the values of x into point Q, getting values of
(.5, 16.5)
(.9, 42.26)
(.99, 50.0846)
(.999, 50.908046)
(1.5, 108.5)
(1.1, 60.66)
(1.01, 51.9246)
(1.001, 51.092046)
I then did (13- y)/(1-x) for each of the points getting:
690
87.5
91.54
91.959
115
96.6
92.46
92.046
Somewhere I have gone wrong
Any help would be much appreciated
Thanks