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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

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 =  


mPQ =  


mPQ = 


mPQ = 


mPQ = 


mPQ = 


mPQ = 


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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This question was answered on: Feb 21, 2020

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