Find the coordinates of the stationary points on the curve $$\(y=(2 x+1)(x-3)^{2}\)$$. Give your answers in exact form. (b) On the axes below, sketch the graph of $$\(y=\left|(2 x+1)(x-3)^{2}\right|\)$$, stating the coordinates of the points where the curve meets the axes. (c) Hence write down the value of the constant $$\(k\)$$ such that $$\(\left|(2 x+1)(x-3)^{2}\right|=k \quad\)$$ has exactly 3 distinct solutions.

Additional Mathematics
IGCSE&ALevel
CAIE
Exam No:0606_w21_qp_11 Year:2021 Question No:9

Answer:





Knowledge points:

14.6 Use differentiation to find stationary points.

Solution:

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