6.3LASolutions

6.3LASolutions - MthSc 108 Learning Activity Solutions...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MthSc 108 Learning Activity Solutions Section 6.3: Volumes By Slicing and Rotation About An Axis For problems 1-5, find the volume for the solid generated by revolving the region bounded by 1. 2 1 () , 1 , 3 1 fx x x x == = + about the x-axis. 2 33 2 3 2 1 2 11 arctan arctan 3 arctan1 13 4 1 2 1 Vd x d x x x x ππ π ππ π  = = = =  +  + ∫∫ 2. 3/2 ,0 , 2 xy x y = about the y-axis. 2 22 4 2 3 00 0 4 4 y V y dy y dy = = 3. () s e c, () t a n, 0 , 1 xgx xx x = = about the x-axis. () () 1 1 0 0 sec tan tan 1 tan (1) Vx x d x x x d x d x x  =− = + = = =  x y x y x y
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4. () l n, 1 , fx xx x e == = about the y-axis. () () 1 11 22 2 2 2 2 00 0 1 2 y yy ee Ve e d y e e d y e y e ππ π   =− = = =     ∫∫ 5. 1 y = above and below by the curve sin , 0 / 2 yx x =≤ , and on the left by the y-axis, about the line 1 y = . () /2 2 2 0 0 1 sin 1 2sin sin 13 1 1 1 cos2 2cos sin 2 4 31 3 1 3 2 cos sin 0 2 cos0 sin 0 2 2 4 2 4 4 Vx d x x x d x d x x x x + + = +−
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

6.3LASolutions - MthSc 108 Learning Activity Solutions...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online