What does the curve of $z=xy$ look like ? To find the area of the surfaces for the part of $z=xy$ cut off by cylinder $x^2+y^2=a^2$ what will the intersection of the two surfaces look like?
appearance of curve $z= xy$ on intersection with surface $x^2+y^2=a^2$
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definite-integrals
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2Concerning visualization of 3d graphs, you can use this for example: https://academo.org/demos/3d-surface-plotter – 2017-01-15
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0@MathematicianByMistake Thank you for information about this site. Fantastic tool this 3d-plotter, if you know more such sites please give some info :) – 2017-01-20
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2@Widawensen My pleasure! For the 2D case I find this one very very helpful- https://www.desmos.com/calculator .As my school teacher used to say, a little plot can often help intuition a lot.. Now if we could only find an n-dimensional plotter.. :-) – 2017-01-20
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2I also forgot to thank @Mathematician ByMistake its really helpful . – 2017-01-20