b) R.T.P.
Squaring both sides,
Multiplying both sides by 16,
Can you finish it from here?
c) seems to be missing some context... what are and ?
Also this looks like it would belong in the Mathematics subforum (i.e. the 2U one).
I'm having trouble answering these questions, especially b) and c). Any help/answers would be greatly appreciated
maths.bmp
a and b.bmp
Last edited by atamiabwv; 8 Apr 2018 at 12:16 AM.
b) R.T.P.
Squaring both sides,
Multiplying both sides by 16,
Can you finish it from here?
c) seems to be missing some context... what are and ?
Also this looks like it would belong in the Mathematics subforum (i.e. the 2U one).
Last edited by fan96; 7 Apr 2018 at 11:31 PM.
HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]
ATAR: 97.40 | Uni Course: Advanced Mathematics (Hons) / Engineering (Hons) at UNSW
For part (b), literally follow the hint: after squaring both sides and simplifying, you should get
32 + 16√2 < 38 + 12√2,
which simplifies further to
√2 < 3/2,
which is the same inequality in part (a).
I can't help you with part (c), since I don't know what a and b are.
^{Bachelor of Science (Advanced Mathematics) III, USYD}
HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]
ATAR: 97.40 | Uni Course: Advanced Mathematics (Hons) / Engineering (Hons) at UNSW
That's really helpful, thank you very much! I've taken it a bit further for the LHS, but I'm not sure what do to for the RHS. I've attached my working: IMG_6433.bmp
HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]
ATAR: 97.40 | Uni Course: Advanced Mathematics (Hons) / Engineering (Hons) at UNSW
Subtract 2:
Multiply by -1 (which flips the inequality sign)
Which is the result in b)
HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]
ATAR: 97.40 | Uni Course: Advanced Mathematics (Hons) / Engineering (Hons) at UNSW
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