S swagswagyoloswag Member Joined Mar 13, 2015 Messages 100 Gender Male HSC 2015 May 1, 2015 #1 If it says to rotate around a line by 180 degrees would you find the normal rotation and halve it and why or why not?
If it says to rotate around a line by 180 degrees would you find the normal rotation and halve it and why or why not?
integral95 Well-Known Member Joined Dec 16, 2012 Messages 779 Gender Male HSC 2013 May 1, 2015 #2 I would find the whole thing then half it, given that it's easier to integrate with the equation.
S swagswagyoloswag Member Joined Mar 13, 2015 Messages 100 Gender Male HSC 2015 May 1, 2015 #3 So when rotating around y = x, you would find the normal volume with method of slicing and then after that you halve the final answer?
So when rotating around y = x, you would find the normal volume with method of slicing and then after that you halve the final answer?
integral95 Well-Known Member Joined Dec 16, 2012 Messages 779 Gender Male HSC 2013 May 1, 2015 #4 swagswagyoloswag said: So when rotating around y = x, you would find the normal volume with method of slicing and then after that you halve the final answer? Click to expand... This isn't in the 4U syllabus so I didn't learn to rotate around y = x. it depends what integral you'd generate, if you get a much simpler integral from the area of the cross-section, then sure I would go for it.
swagswagyoloswag said: So when rotating around y = x, you would find the normal volume with method of slicing and then after that you halve the final answer? Click to expand... This isn't in the 4U syllabus so I didn't learn to rotate around y = x. it depends what integral you'd generate, if you get a much simpler integral from the area of the cross-section, then sure I would go for it.
S swagswagyoloswag Member Joined Mar 13, 2015 Messages 100 Gender Male HSC 2015 May 3, 2015 #5 integral95 said: This isn't in the 4U syllabus so I didn't learn to rotate around y = x. it depends what integral you'd generate, if you get a much simpler integral from the area of the cross-section, then sure I would go for it. Click to expand... What if it's method of slicing bounded by y = (x-1)^2 -1 by x = 1 rotated only 180 degrees?
integral95 said: This isn't in the 4U syllabus so I didn't learn to rotate around y = x. it depends what integral you'd generate, if you get a much simpler integral from the area of the cross-section, then sure I would go for it. Click to expand... What if it's method of slicing bounded by y = (x-1)^2 -1 by x = 1 rotated only 180 degrees?