2015 HSC Mathematics Solutions (1 Viewer)

[ymcaec]

Typed up solutions to Maths 2U 2015
View attachment 2015hscm2usol.pdf

 

[I97]

Think the following aren't correct:
- 13b ii) Region shaded only in the first and second quadrants
- 14a ii) You have to subtract the 41.55 from 110

 

[keepLooking]

For 14 (a) ii), Since it is distance fallen, shouldn't it be 110 - 41.55?

 

[ymcaec]

Yep! I have changed 14a ii (didnt read the question lol)
But for 13b ii) - the first inequality will include the rectangular bit below the semicircle. Pick (0, -1) and put that in the inequality -- -1 <= sqrt(9-0^2) which is true.

 

[maysilees]

Yep! I have changed 14a ii (didnt read the question lol)
But for 13b ii) - the first inequality will include the rectangular bit below the semicircle. Pick (0, -1) and put that in the inequality -- -1 <= sqrt(9-0^2) which is true.

isnt it something about how the range for the semi circle is 0 < y< 3?

 

[akkatracker]

In 16c the line where you sub into the 2nd derivative I believe you have an R where you shouldn't. May be wrong though (late at night)

 

[photastic]

In 16c the line where you sub into the 2nd derivative I believe you have an R where you shouldn't. May be wrong though (late at night)

Agreed, the Rs shouldve cancelled out.