# 3/(3 — х).The point P(4, -3) lies on the curve y =(a) If Q is the point (x, 3/(3 - 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)3.9ТРОEnter a number.(ii)3.99ТРО=(iii)3.999ТРо 3(iv)3.9999mpQ=(v)4.1mpQ=(vi)4.01mро -(vii)4.001=(viii)4.0001mpQ=(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(4, -3)m =(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4, -3)II

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Step 1

According to the question,

Step 2

We know that,

Step 3

We will put value of x in above expression to get...

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