SPM 2018 Add Maths Paper 2, Question 10Integration
Solved on video in English and Bahasa Melayu · 10 marks · Form 5, Integration · 7:07 video
The question
Diagram 7 shows the straight line 4y = x - 2 touches the curve x = y² + 6 at point A. Find (a) the coordinates of A, (b) the area of the shaded region, (c) the volume of revolution, in terms of pi, when the region bounded by the curve and the straight line x = 8 is revolved through 180 degrees about the x-axis.
[10 marks]
7:07Step 1
Since the line touches (is tangent to) the curve, substitute x = y² + 6 into 4y = x - 2: 4y = (y² + 6) - 2, giving 4y = y² + 4.
9 more steps, each with the reason for it, in the full solution
Final answer
(a) A = (10, 2) (b) 8/3 unit² (c) 2π unit³
Where students lose marks
Watch out: tangency means a repeated root in (a), and in (c) the symmetric region spun 180° gives 2π, not π.
Watch every step of this question solved on video (7:07), with the reason behind each step and a box that checks your own answer.
No card. Every past-year question on video, in English and BM.
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