Page 7 of 7 FirstFirst ... 567
Results 151 to 163 of 163
Like Tree28Likes

Thread: HSC 2018 MX2 Marathon

  1. #151
    I love trials pikachu975's Avatar
    Join Date
    May 2015
    HSC
    2017
    Gender
    Male
    Location
    NSW
    Posts
    2,403
    Rep Power
    4

    Re: HSC 2018 MX2 Marathon

    Quote Originally Posted by CapitalSwine View Post
    Cant seem to figure out how to do this question:
    https://imgur.com/a/jRaWrmq
    BSQ = PQB (alternate angle theorem)
    PQB = 180-RPQ (co-interior angles in a parallelogram are supplementary)
    BSQ + RPQ = 180

    Hence opposite angles are supplementary so RSQP is a cyclic quad

    Hope this reasoning is legit, forgot maths

    EDIT: Nvm too slow
    --------------------------------------------------------------------------------

    Buy my books/notes cheaply here!

    --------------------------------------------------------------------------------

    Uni Course: Actuarial Studies and Statistics at MQ -- PM me if you have questions

    2017 HSC Subjects: Eng Adv / 3u+4u Maths / Bio /Phys
    ATAR: 99.75

    --------------------------------------------------------------------------------

  2. #152
    Loquacious One
    Join Date
    Feb 2009
    HSC
    N/A
    Gender
    Male
    Posts
    3,762
    Rep Power
    10

    Re: HSC 2018 MX2 Marathon

    It is easy to prove RSQP is cyclic; so that this can be easily shown in many ways.

    e.g.

    Let angle AQS = @; .: angle QBS = @; .: angle PRS = @ (PR // QB)

    .: angle AQS = angle PRS

    .: external angle AQS of quadrilateral RSQP = int opp angle PRS

    .: RSQP must be cyclic

    QED
    Last edited by Drongoski; 29 May 2018 at 9:29 AM.
    1-on-1 Maths Tutoring(IB & HSC): Epping, Beecroft, Eastwood, Carlingford & Beyond
    IB: Maths Studies, Maths SL & Maths HL; HSC: 2U, 3U & 4U
    Highly Qualified & Highly Experienced. Estimated ATAR > 9.995
    There are IB Maths Tutors and there are IB Maths Tutors.

  3. #153
    Cadet altSwift's Avatar
    Join Date
    Jan 2017
    HSC
    2018
    Gender
    Male
    Posts
    65
    Rep Power
    2

    Re: HSC 2018 MX2 Marathon











    HSC 2018

    English Adv - MX1 - MX2 - Physics - Economics

  4. #154
    617 pages fan96's Avatar
    Join Date
    May 2017
    HSC
    2018
    Gender
    Male
    Location
    NSW
    Posts
    419
    Rep Power
    2

    Re: HSC 2018 MX2 Marathon

    a)


    b)



    c)

    For , .

    If , then clearly .

    Therefore, .

    From b) . Since ,



    Replacing with , we get with and so



    Giving, as required,



    d)

    From b),

    .







    From c),

    altSwift likes this.
    HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]

    ATAR: 97.40 | Uni Course: B Advanced Mathematics (Hons) / B Engineering (Hons) (Computer) at UNSW

  5. #155
    617 pages fan96's Avatar
    Join Date
    May 2017
    HSC
    2018
    Gender
    Male
    Location
    NSW
    Posts
    419
    Rep Power
    2

    Re: HSC 2018 MX2 Marathon





    HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]

    ATAR: 97.40 | Uni Course: B Advanced Mathematics (Hons) / B Engineering (Hons) (Computer) at UNSW

  6. #156
    Cadet
    Join Date
    Feb 2018
    HSC
    2018
    Gender
    Male
    Posts
    74
    Rep Power
    1

    Re: HSC 2018 MX2 Marathon

    yoyoyo
    there was a nice question i found a while back and thought i would post it here:


    given that e^x can be written as a sum of an odd and even function, find the two functions.
    Last edited by mrbunton; 20 Nov 2018 at 11:20 AM.

  7. #157
    617 pages fan96's Avatar
    Join Date
    May 2017
    HSC
    2018
    Gender
    Male
    Location
    NSW
    Posts
    419
    Rep Power
    2

    Re: HSC 2018 MX2 Marathon

    Quote Originally Posted by mrbunton View Post
    yoyoyo
    there was a nice question i found a while back and thought i would post it here:


    given that e^x can be written as a sum of an odd and even function, find the two functions.
    Is the intended answer the Taylor series for ?

    Edit: nevermind, I found some others
    Last edited by fan96; 20 Nov 2018 at 12:02 PM.
    HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]

    ATAR: 97.40 | Uni Course: B Advanced Mathematics (Hons) / B Engineering (Hons) (Computer) at UNSW

  8. #158
    Junior Member HeroWise's Avatar
    Join Date
    Dec 2017
    HSC
    N/A
    Gender
    Male
    Location
    01001110 01100101 01110111 00100000 01010011 01101111 01110101 01110100 01101000 00100000 01010111 01100001 01101100 01100101 01110011
    Posts
    227
    Rep Power
    1

    Re: HSC 2018 MX2 Marathon

    Quote Originally Posted by fan96 View Post
    Is the intended answer the Taylor series for ?

    Edit: nevermind, I found some others


    its Hyperbolic function of sin and cos
    so e^x = sinhx+coshx
    Its legit like deriving cosx and sinx in complex field


    The taylor expansion is just an approximate for e^x for values less than 1 or close to 0 but can get quite close. You would just factorise the even and odd parts of the function. However, that does not mean you cant use it, I tried it with Maclaurin series and it seems to look solid.
    Last edited by HeroWise; 20 Nov 2018 at 2:05 PM.

  9. #159
    Rambling Spirit
    Join Date
    Dec 2014
    HSC
    N/A
    Gender
    Male
    Posts
    6,075
    Rep Power
    7

    Re: HSC 2018 MX2 Marathon


  10. #160
    Junior Member HeroWise's Avatar
    Join Date
    Dec 2017
    HSC
    N/A
    Gender
    Male
    Location
    01001110 01100101 01110111 00100000 01010011 01101111 01110101 01110100 01101000 00100000 01010111 01100001 01101100 01100101 01110011
    Posts
    227
    Rep Power
    1

    Re: HSC 2018 MX2 Marathon

    Yeah it clicked in when i was thinking of expressing these interms of Complex version of cos and sin and basically simultaneous

  11. #161
    Cadet
    Join Date
    Feb 2018
    HSC
    2018
    Gender
    Male
    Posts
    74
    Rep Power
    1

    Re: HSC 2018 MX2 Marathon

    Quote Originally Posted by InteGrand View Post
    ya. You can generate that through utilising the definition of even and odd functions which was the intent of the question.

  12. #162
    Junior Member HeroWise's Avatar
    Join Date
    Dec 2017
    HSC
    N/A
    Gender
    Male
    Location
    01001110 01100101 01110111 00100000 01010011 01101111 01110101 01110100 01101000 00100000 01010111 01100001 01101100 01100101 01110011
    Posts
    227
    Rep Power
    1

    Re: HSC 2018 MX2 Marathon

    More qtns

  13. #163
    This too shall pass Sy123's Avatar
    Join Date
    Nov 2011
    HSC
    2013
    Gender
    Male
    Posts
    3,734
    Rep Power
    8

    Re: HSC 2018 MX2 Marathon




Page 7 of 7 FirstFirst ... 567

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •