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(Solved): The point P(5,3) lies on the curve y=4x3. (a) If Q is the point (x,4x3), find the s ...



The point \( P(5,-3) \) lies on the curve \( y=\frac{3}{4-x} \).
(a) If \( Q \) is the point \( \left(x, \frac{3}{4-x}\right)

The point lies on the curve . (a) If is the point , find the slope of the secant line (correct to six decimal places) for the following values of . (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at . (c) Using the slope from part (b), find an equation of the tangent line to the curve at .


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Consider the given curve is , y=34?x;and point P on curve is, (5,?3)(a)Consider the general point on curve is, Q=(x,34?x)slope of secant line PQ i
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