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I seemed to have completely forget the basics of complex numbers. Could someone help explain this question to me Given z^5=i Solve for z and graph on argand plane I just need help solving for z

I think I know basics okay now but i cannot recognise when it would be better to use a particular method. I blindly choose a particular method and I get an ugly expression but when I try another way I get a better expression. But by then, it would be too late. How do u tell straight from seeing...

Also, from a past paper, I found the question Find the volume generated by rotating the region bounded by y=x/2 and y=x^1/2 about the x-axis. Unfortunately I dont have solutions and I have no clue what I am doing. Could anybody pls help :/

Can someone pls help me with another question. I'm still struggling with volumes. It is Find volume bounded between y=x, y=-(x^1/2), and x=4. part1. About line x=6 part2. about line y=6 Could u please state what method (shell or washer) u will use for both and a brief description why when...

I see, so shells is your go to method. I'm slightly stronger with shells but i'm so hesitant on which method to use as soon as I see a problem

For the question of finding the volume when area between y=4-x^2 and x-axis being rotated about the x-axis, i think i am getting destroyed by the integration. I think I did the diagram and the working right and I got it to V=4pi (integral sign upper limit 4, lower 0) y(y-4)^1/2 dy. Could someone...

U went to girra? What year did u graduate?

would u know when it would be better to use slice method over shells? Is it only when there is no rotation?

So u would not recommend using annulus method? Thanks, I should be fine with identifying if dy or dx now. Just a matter of knowing how to do the same question using both methods. Could u recommend situations where it is better to use slice method over shells and vice verca?>

Man, I am badly struggling with this topic. I have another question which I think requires us to use a similar annulus method. The area bounded by y=x^2+2 and y=2x+5 is rotated about the x-axis. Find the volume of the solid so formed. I think the problem that I am facing is identifying what...

I do not know where my teacher pulls questions from but very well could be from a catholic paper.

Thankyou so much Spiralflex. It actually makes sense now. Must have been some effort to draw those diagrams. Much appreciated.

Hey guys, I have my 4u trial coming soon. It will have all topics except harder 3u. Now the reason I have posted this thread is that I am having a lot of trouble with volumes. Is there any tips to answer these types of questions. No matter how much I try, it is killing me. Could anyone pls...