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4. [2.5/25 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.1.003. MY NOTES PRACTICE ANOTHER The point P(6, -4) lies on the curve y = 4/(5 - x).

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4. [2.5/25 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.1.003. MY NOTES PRACTICE ANOTHER The point P(6, -4) lies on the curve y = 4/(5 - x). (a) If Q is the point (x, 4/(5 - x)), use your calculator to find the slope mpo of the secant line PQ (correct to six decimal places) for the following values of x. (i) 5.9 mpQ = X (ii) 5.99 mpQ = X 5.999 mpQ = X (iv) 5.9999 mpQ = X (v) 6.1 mpQ = X (vi) 6.01 mpQ = X (vii) 6.001 mpQ = X (viii) 6.0001 mpQ = X (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(6, -4). m = 4 (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(6, -4). X Viewing Saved Work Revert to Last Response Submit

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