Mathematics Question Thread

[RuiAce]

heyy, im sort of confused on where did the 'cos' come from. your explanation made everything else make sense except where did the 'ln(cos)' come from

thank you so much!

Edit: It seems like Jake skipped the use of it, which is a bit surprising. In all honesty, I do believe that the integral of tan(x) is very unfair for 2U unless assisted, however that's the way of going about it. Rewrite \(\tan x = \frac{\sin x}{\cos x}\)

[kiiaaa]

Edit: It seems like Jake skipped the use of it, which is a bit surprising. In all honesty, I do believe that the integral of tan(x) is very unfair for 2U unless assisted, however that's the way of going about it. Rewrite \(\tan x = \frac{\sin x}{\cos x}\)

ahh i get that now! thank you so much both to you and Jake

[Wren]

just wanted clarification when your using simpson's rule does would 3 function values mean a, (a+b)/2 and b?

[RuiAce]

just wanted clarification when your using simpson's rule does would 3 function values mean a, (a+b)/2 and b?

Yes

[jakesilove]

just wanted clarification when your using simpson's rule does would 3 function values mean a, (a+b)/2 and b?

Yep, 3 function values would mean


However, 3 intervals would require 4 function values, ie

[RuiAce]

Yep, 3 function values would mean


However, 3 intervals would require 4 function values, ie

Albeit that can't happen with Simpson's rule though, that's only for trap rule

[jakesilove]

Albeit that can't happen with Simpson's rule though, that's only for trap rule

Good point. Just trying to illustrate the differences of terminology used in questions!

[K9810]

Hey!
Need help with the attached question 

[RuiAce]

Hey!
Need help with the attached question 

[jakesilove]

Hey!
Need help with the attached question 

Hey! So, we need to convert the 4 into some log form. We do this by recalling that


Literally means a to the power of c equals b. So, we know that


As 2 to the power for four equals 16! You can confirm this on your calculator. We are then left with


as when you add two logs with the same bases, you multiple what is being 'logified'

[jakesilove]

Oh come on

[RuiAce]

Too bad this is a running gag that only you, me and Jamon get

[winstondarmawan]

Would appreciate help for the following quesiton. TIA

https://scontent-syd2-1.xx.fbcdn.net/v/t35.0-12/19048562_1800159110300546_1670682986_o.jpg?oh=6f18ef0fd9d20bab6585b02e4b0039c1&oe=593A3C20

[RuiAce]

Would appreciate help for the following quesiton. TIA

https://scontent-syd2-1.xx.fbcdn.net/v/t35.0-12/19048562_1800159110300546_1670682986_o.jpg?oh=6f18ef0fd9d20bab6585b02e4b0039c1&oe=593A3C20

There are 3 questions. Which one are you having difficulty with?

[Wales]

Would appreciate help for the following quesiton. TIA

https://scontent-syd2-1.xx.fbcdn.net/v/t35.0-12/19048562_1800159110300546_1670682986_o.jpg?oh=6f18ef0fd9d20bab6585b02e4b0039c1&oe=593A3C20

Going to assume it's 34 but post back if it isn't

34) i) Simultaneous equations. You let x^2-6x+8 equal to 4x-x^2 and solve. You get x=1 and x=4. You know x=4 is already an intercept so the other is x=1. Sub x=1 into either Y equation and you get y=3. Therefore P is (1,3)

ii) The integral of the top function take away bottom function between 4 and 1 should give you the answer.

Let me know if anything is wrong or unclear or if it was the other questions.