The point p( 0.5 , 10 ) lies on the curve y = 5 / x . let q be the point (x, 5 / x ) . a.) find the slope of the secant line pq for the following values of x. if x= 0.6, the slope of pq is: if x= 0.51, the slope of pq is: if x= 0.4, the slope of pq is: if x= 0.49, the slope of pq is: b.) based on the above results, guess the slope of the tangent line to the curve at p(0.5 , 10 ).

Based on the results  it is expected that the slope of the tangent line at the point (0.5,10) is -20.

Step-by-step explanation:

To see that compute, the slopes for the given points as follows:

1. For we have:

2. For we have:

3. For we have:

4. For we have:

So, we observe that the slope of the tangent line at is close to the value -20.

The graph shown below is useful to see the secant lines that approximates the tangent line.

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step-by-step explanation:

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: