d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12 and the x-axis. A1 A2

Algebra & Trigonometry with Analytic Geometry
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Chapter9: Systems Of Equations And Inequalities
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Second question of question (d) please as soon as possible

d) Let A, be the region between y = x2 +9 and y 21-x.
Let A2 be the region between y = x? + x - 12 and the x-axis.
A1
A2
Transcribed Image Text:d) Let A, be the region between y = x2 +9 and y 21-x. Let A2 be the region between y = x? + x - 12 and the x-axis. A1 A2
i.
Find the area of A, and the area of A2.
ii.
Find the volume generated by rotating A2 about the x-axis.
iii.
e) Let B be the region above the curve y, = 2x2 + 5x + 2, and below the curves y2 = x? + 4x +
8 and y3 = 6- 2x, see the diagram below.
Find the volume generated by rotating A, about the x-axis.
%3D
%3D
%3D
Transcribed Image Text:i. Find the area of A, and the area of A2. ii. Find the volume generated by rotating A2 about the x-axis. iii. e) Let B be the region above the curve y, = 2x2 + 5x + 2, and below the curves y2 = x? + 4x + 8 and y3 = 6- 2x, see the diagram below. Find the volume generated by rotating A, about the x-axis. %3D %3D %3D
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