CQ_M2_E11.doc - Effective Learning Mathematics Module 2 Algebra and Calculus Chapter Quiz | Volume 2 2 1(a Solve 4 sin x sec x tan x where 0 x Chapter

# CQ_M2_E11.doc - Effective Learning Mathematics Module 2...

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Effective Learning Mathematics Module 2: Algebra and Calculus Chapter Quiz | Volume 2 Chapter 11 1. (a)Solvexxxtansecsin4, where20x.(2 marks)(b)Find the area of the shaded region bounded by the curvesxxytansecandxysin4.ysecxtanxy4 sinxxyO2(3 marks) 1
2015 Chung Tai Educational Press. All rights reserved. Effective Learning Mathematics Module 2: Algebra and Calculus Chapter Quiz | Volume 2 Chapter 11 (b) 2. (a) Find dx x x x 2 ) 7 )( 2 ( . (2 marks) (b) In the figure, the shaded region is bounded by the curve 1 ) 6 )( 1 ( 2 x x x x e e e e y and the x -axis. Find the volume of the solid generated by revolving the shaded region about the x -axis. ( e x 1)( e x 6) e e x 1 y 2 x x y (5 marks) Solution: (a) 2
2015 Chung Tai Educational Press. All rights reserved. Effective Learning Mathematics Module 2: Algebra and Calculus Chapter Quiz | Volume 2 Chapter 11 (b) 3
2015 Chung Tai Educational Press. All rights reserved. Effective Learning Mathematics Module 2: Algebra and Calculus Chapter Quiz | Volume 2 Chapter 11 3.The figure shows the curve3:xyCand the line1y. The straight line Lis the tangent to at 1xy1C:yx3xyO(a)Find the equation of L.(3 marks)(b)Let Rbe the region bounded by the curve C, the lines1yand (i)Find the area of R(ii)Find the volume of the solid of revolution generated by revolving Rabout the line1y.(6 marks) C . L . . Solution: (a) 4
2015 Chung Tai Educational Press. All rights reserved. Effective Learning Mathematics Module 2: Algebra and Calculus Chapter Quiz | Volume 2 Chapter 11 (b) (i) 5