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hey guys, our clas just recieved an assesment task for this option. We are supposed to perform expreiments in our own time, detirmine experimental procedure, theory, results etc. The two experiments in question are syllabus reference: 9.6.2.1b - compare the rate of corrosion of iron...

ok in this example, why in part 3 do they substitute their value into the result from part 2 and not the original polynomial

use de movre's theorem to express cos 4θ in terms of cos θ and use your results to solve the equation 8x^4 - 8x^2 + 1 = 0. hence show that: cos π/8 + cos5π/8 + cos 7π/8 = 0 cos π/8 . cos 3π/8 . cos 5π/8 . cos 7π/8 = 1/8 (π is supposed to be pi)

can anyone do question four - see attatchment (i scanned the whole thing so that i can refer to other questions if need be, and if anyone feels like some maths)

ok so the example says find the sqaure roots of 5 -12i using cartesian method so you let (x + iy)^2 = 5 - 12i for that you can derive that x^2 - y^2 =5 and xy = -6 however in jb fitzpatrick example, they are also able to derive x^2 + y^2 = 13 which you can add to the...

another polynomials question for a polynomial of say degree 4, let the roots be a, b, c and d. With the questions that ask you to find the polynomial with roots a/2, b/2, c/2, d/2 or a^2, b^2, c^2, d^2. i remember there are 2 ways of doing these types of questions, a short way and really...

hi i have another (!!!) question - JB Fitzpatrick ex 36(c) q 41 write out an equation of the lowest possible degree with (i) comples coefficients, (ii) rational coefficients and having the folloring among it's roots: sqrt(3) + 1, 2 - i i can get part 1 by multiplying out (z -...

does |zw| =|z|.|w| ? and does |z/w| = |z|/|w| ? thanks

when completing these transformation questions, my textbook gives me four formulas to learn for different sin + cos, sin - cos, cos + sin, cos - sin combinations. I dont really want to learn the long winded way as some do, but is it correct to rearrange to question so i can just use the one...

I am looking for a long lost friend who left my school (St Pius) in 2003. He has black hair and is very asian in appearance. He was last seen leaving for soccer camp in New Zealand and never came back. Memorable moments abat charles: His shoe is still on the roof. He refused to...

I am looking for a long lost friend who left my school (St Pius) in 2003. He has black hair and is very asian in appearance. He was last seen leaving for soccer camp in New Zealand and never came back. Memorable moments abat charles: His shoe is still on the roof. He refused to...

We have jsut covered 4 Unit induction and i am a bit thrown off by the concept of "Guessing" the formula to use as a method in some of the question. Is there any logical way to do this or is it just trial and error?

Projectile Motion - Maths Vs Physics? when i first started physcs projectile motion i just used maths integration - y double dot stuff you know. becuase the physics way seemed watered down and retarted. But now i'm used to using those silly physics formulas and now i reckon the physics...

another one what is the parent acid of the salt Na2SO4? Is it HSO4- or H2SO4. Because i cant seem to balance the neutralsiation of HSO4- and NaOH. i have an assesment tomorrow and i can't seem to write the neutralisation reactions, does anybody know them this is what i think so far...

another question when H2SO4 reacts with NaOH it produces NaHSO4 and H2O because both the acid and the base are strong, the pH should be neutral and the Na+ and HSO4- ions should not react to any sginificant as they are extremely weak conjugates. However our prac yielded a pH of 3 and...

this may seem like a stupid question, but what is the product of sudium hydroxide and water, if any? NaOH +H20 ---> ??? i know it should produce hydroxde as the water acts as an acid but what else? cheers