The point P(7, -3) lies on the curve y = 3/(6- x). (a) If Q is...

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The point P(7, -3) lies on the curve y = 3/(6- x). (a) If Q is the point (x, 3/(6 - 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) 6.9 mPQ (ii) 6.99 MPQ (iii) mpQ (iv) mpQ = = 6.999 6.9999 (v) 7.1 MPQ (vi) 7.01 MPQ (vii) mpQ (viii) mPQ = = 7.001 7.0001 = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(7, -3). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -3). The point P(7, -3) lies on the curve y = 3/(6- x). (a) If Q is the point (x, 3/(6 - 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) 6.9 mPQ (ii) 6.99 MPQ (iii) mpQ (iv) mpQ = = 6.999 6.9999 (v) 7.1 MPQ (vi) 7.01 MPQ (vii) mpQ (viii) mPQ = = 7.001 7.0001 = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(7, -3). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -3).