Question
Asked Sep 15, 2019
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The point P(9, -3) lies on the curve y 3/(8 x)
(a) If Q is the point (x, 3/(8 - 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
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The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - 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

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(v) 9.1
х
Тро
(vi) 9.01
mро
(vii) 9.001
х
Тро -
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(v) 9.1 х Тро (vi) 9.01 mро (vii) 9.001 х Тро -

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Expert Answer

Step 1

The given point P(9, –3) lies on the curve y = 3/(8 – x).

Let Q (x, 3/(8 – x)) be the point on the curve.

The slope mPQ of the secant line PQ is calculated as follows.

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3 -3- 8 x 9 x 3(8-x)3 8 x - 9 x -243x 3 (8-x) (9-x) -27 3x (8-x)(9x) -3(9-x) (8-x)(9-x) 3 (8-x)

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Step 2

(v) The slope mPQ of the secant line PQ at the point x = 9.1 is calculated as follows.

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3 (8-9.1) -3 -1.1 2.72 7272

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Step 3

(vi) The slope mPQ of the secant line PQ at the point x = 9...

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3 PO (8-9.01) -3 -1.01 2.970297 22

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