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i think my explanation may have appeared much more complicated than it needed to be because the formula: cosθ=cosα₁cosα₂+cosβ₁cosβ₂+cosγ₁cosγ₂ is a general one normally applied without explanation i explained the formula...

i made a poor decision on what degree to choose last year and was thinking about changing to a degree that involved more maths electrical engineering seems to involve more maths than the other engineering courses, does anyone know if this is correct also does anyone know if can you major...

i was just wondering what proportion of you guys were planning on majoring in maths in your degree at uni next year

yep, i meant in the order mentioned

The attached thing is to help explain the first part. btw 3D diagrams havent been in the 3u course for about 30 years

Solution attached

prob shouldnt have posted it. was a bit obvious

let a=b a²=ab a²+a²-2ab=ab+a²-2ab 2(a²-ab)=a²-ab .....(1) 2=1 .....(2) 65=64 from (1) to (2) you divided by 0 cause a²-ab = a²-a(a)

The diagram is shown inaccurately. The first segment of the diagonal of the rectangle has a gradient of 2/5 while the rest has a gradient of 3/8. Shown in attachment.

The question from taken from question 8 of the 1999 hsc. You got the definition of alpha wrong. Its meant to be p+p^2+p^4. Solution attached

solution to the second one attached

Solution to the first one attached

Solution to 3 attached

Solution to 2 attached

Solution to the first one attached

Solution to 3 attached

Solution to 1 attached

its true that if you do 4u you wont sit the 2u exam. instead theyll make the 3u component count for 2 units instead of 1 and make the 4u component also count for 2 units. maple and mathematica are basically advanced calculators, if ur doing 3 or 4u they will really help as they can graph...

does anyone know if you can change degrees after the first semester? if you can, is it based on uai or results in first semester subjects?

Solution attached as 2 images