CALCULUS REVISION [68 marks] The following diagram shows part of the graph of f(x) = (6 − 3x) (4 + x), x ∈ R. The shaded region R is bounded by the x-axis, y-axis and the graph of f . 1a. Write down an integral for the area of region R. [2 marks] 1b. Find...
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CALCULUS REVISION [68 marks] The following diagram shows part of the graph of f(x) = (6 − 3x) (4 + x), x ∈ R. The shaded region R is bounded by the x-axis, y-axis and the graph of f . 1a. Write down an integral for the area of region R. [2 marks] 1b. Find the area of region R. [1 mark] 1c. The three points A(0, 0) , B(3, 10) and C(a , 0) define the vertices of a [2 marks] triangle. Find the value of a , the x-coordinate of C, such that the area of the triangle is equal to the area of region R. 2
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