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[solution] » The point P(8, 2) lies on the curve y = 2/(7 x).(a) If Q

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The point P(8, 2) lies on the curve y = 2/(7 x).(a) If Q
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The point P(8, ?2) lies on the curve y = 2/(7 ? x).(a) If Q is the point  (x, 2/(7 ? 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)7.9

mPQ =  


(ii)7.99

mPQ =  


(iii)7.999

mPQ = 


(iv)7.9999

mPQ = 


(v)8.1

mPQ = 


(vi)8.01

mPQ = 


(vii)8.001

mPQ = 


(viii)8.0001

mPQ = 

(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(8, ?2).

m = 


(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(8, ?2).


 







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