Login

Welcome, Guest. Please login or register.

August 28, 2025, 12:41:28 am

Author Topic: Mathematics Question Thread  (Read 1616869 times)  Share 

0 Members and 3 Guests are viewing this topic.

LaraC

  • Forum Regular
  • **
  • Posts: 80
  • Respect: +4
Re: Mathematics Question Thread
« Reply #3405 on: April 02, 2018, 10:04:54 pm »
0
Thankyou RuiAce!!!  :D

Never.Give.Up

  • Forum Regular
  • **
  • Posts: 98
  • Respect: +8
Re: Mathematics Question Thread
« Reply #3406 on: April 02, 2018, 10:21:33 pm »
0

Which gives 0 and -3
thanks!!
(I had forgotten to use product rule  :-[ :-[ :-[ ::))

Alex Molloy

  • Fresh Poster
  • *
  • Posts: 3
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3407 on: April 03, 2018, 10:13:52 am »
0
1. Find the area under the curve y=loge2x, bounded by x= 4 and the x-axis.

RuiAce

  • ATAR Notes Lecturer
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 8814
  • "All models are wrong, but some are useful."
  • Respect: +2575
Re: Mathematics Question Thread
« Reply #3408 on: April 03, 2018, 10:21:11 am »
0
1. Find the area under the curve y=loge2x, bounded by x= 4 and the x-axis.
Have you drawn a diagram to help you do this question?

Alex Molloy

  • Fresh Poster
  • *
  • Posts: 3
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3409 on: April 03, 2018, 10:49:58 am »
0
Have you drawn a diagram to help you do this question?

just did, not sure if correct.

RuiAce

  • ATAR Notes Lecturer
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 8814
  • "All models are wrong, but some are useful."
  • Respect: +2575
Re: Mathematics Question Thread
« Reply #3410 on: April 03, 2018, 11:00:41 am »
+3







Mate2425

  • Trendsetter
  • **
  • Posts: 145
  • "A rolling stone, gathers no moss!"
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3411 on: April 06, 2018, 06:15:16 pm »
0
Hi could someone please help me understand why in Q6. 2007 Advanced Math paper they were able to get x = ln0.5. What is the process from lne^x to x.

Thank you 😃

RuiAce

  • ATAR Notes Lecturer
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 8814
  • "All models are wrong, but some are useful."
  • Respect: +2575
Re: Mathematics Question Thread
« Reply #3412 on: April 06, 2018, 07:29:49 pm »
+2
Hi could someone please help me understand why in Q6. 2007 Advanced Math paper they were able to get x = ln0.5. What is the process from lne^x to x.

Thank you 😃
Not really worried this time because the issue is clear. In the future, please link to the paper.



The formal reasoning relies on inverse functions, but of course that's not 2U material.
« Last Edit: April 06, 2018, 07:37:42 pm by RuiAce »

Opengangs

  • New South Welsh
  • Forum Leader
  • ****
  • Posts: 718
  • \(\mathbb{O}_\mathbb{G}\)
  • Respect: +480
Re: Mathematics Question Thread
« Reply #3413 on: April 06, 2018, 09:18:47 pm »
+1
Hi could someone please help me understand why in Q6. 2007 Advanced Math paper they were able to get x = ln0.5. What is the process from lne^x to x.

Thank you 😃
Just going to expand on Rui's answer.






Calley123

  • Forum Regular
  • **
  • Posts: 71
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3414 on: April 07, 2018, 09:36:25 pm »
0
Hey,
How do I do this question from trig functions?

Thanks :)

Calley123

  • Forum Regular
  • **
  • Posts: 71
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3415 on: April 07, 2018, 09:38:44 pm »
0
Hey,
How do I do this question from trig functions?

Thanks :)

The question was:

A sector of a circle with radius 5cm and an angle of pi/ subtended at the centre is cut out of the cardboard. It is then curved around to form a cone . Find its exact area and volume.

:)

Mate2425

  • Trendsetter
  • **
  • Posts: 145
  • "A rolling stone, gathers no moss!"
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3416 on: April 08, 2018, 10:49:40 am »
0
Hey,could someone please help understand when do i use the trapezoidal rule / Simpson's rule on the formula sheet vs. the trapezoidal rule/ Simpson's rule otherwise used such as i.e Trap = h/2 and Simp = h/3. I always get confused   :o.

Thanks  ;D

kauac

  • Forum Leader
  • ****
  • Posts: 554
  • Respect: +291
Re: Mathematics Question Thread
« Reply #3417 on: April 08, 2018, 11:35:13 am »
+2
Hey,could someone please help understand when do i use the trapezoidal rule / Simpson's rule on the formula sheet vs. the trapezoidal rule/ Simpson's rule otherwise used such as i.e Trap = h/2 and Simp = h/3. I always get confused   :o.

Thanks  ;D

The Trap and Simpson's rules on the formula sheet are used when you are finding the estimate for only one interval- which uses two function values.

Anytime you are asked to find multiple intervals, you will need to use the more complex version of the formulas (not on the sheet).
2018: HSC

2019: Gap Year

2020-2024: B Science / M Nutrition & Dietetics @ USYD

kauac

  • Forum Leader
  • ****
  • Posts: 554
  • Respect: +291
Re: Mathematics Question Thread
« Reply #3418 on: April 08, 2018, 12:58:27 pm »
+2
Hey,
How do I do this question from trig functions?

Thanks :)

Hi...
I have no idea if this is the right answer, but here is how I would solve it logically...
2018: HSC

2019: Gap Year

2020-2024: B Science / M Nutrition & Dietetics @ USYD

Calley123

  • Forum Regular
  • **
  • Posts: 71
  • Respect: 0
Re: Mathematics Question Thread
« Reply #3419 on: April 08, 2018, 04:12:28 pm »
0
Hi...
I have no idea if this is the right answer, but here is how I would solve it logically...

Both answers are correct !
Thank you so much !