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The point P(0.2, 10) lies on the curve y = 2/x. Let Q be the point (x, 2/x).

 

a.) Find the slope of the secant line PQ for the following values of x.
 

If x = 0.3, the slope of PQ is: -33.3333333333
If x = 0.21, the slope of PQ is: -47.619047619
If x = 0.1, the slope of PQ is: -100
If x = 0.19, the slope of PQ is: -52.63157895

 

b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.2, 10).

 

Answer: ?

 

 

(I already finished part a correctly, but I don't understand part b entirely to complete the math problem.)

 
 Feb 9, 2022

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