Mathematics, 07.07.2020 22:01, elyzarobertson
The point P(7, β2) lies on the curve y = 2/(6 β x). (a) If Q is the point (x, 2/(6 β x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 6.9
mPQ = 1
(ii) 6.99
mPQ = 2
(iii) 6.999
mPQ = 3
(iv) 6.9999
mPQ = 4
(v) 7.1
mPQ = 5
(vi) 7.01
mPQ = 6
(vii) 7.001
mPQ = 7
(viii) 7.000
mPQ = 8
(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at
P(7, β2).
m = 9
(c) Using the slope from part (b), find an equation of the tangent line to the curve at
P(7, β2).
Answers: 2
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The point P(7, β2) lies on the curve y = 2/(6 β x). (a) If Q is the point (x, 2/(6 β x)), use your c...
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