VCE Methods Question Thread!

[Sanguinne]

I think it is a typo because it doesn't state the standArd deviation

[zhe0001]

da hello,
this unit 2 question about log graphs
Interested in finding a logs asymptote, when its not the vertical asymptote along the y-axis.
eg. How would you find the asymptope of this function,


Thanks!

[lzxnl]

Asymptote when argument of log function = 0
8x + 10 = 0
x = -5/4

If you want, transpose the equation to yield x = 1/8*(e^(y/3) - 10)
Asymptotes are formally found by letting x, y approach +- infinity.
Nothing of note happens if you let x approach +- infinity. If y approaches -inf, the exponential term drops to zero. We're just left with x = -10/8 = -5/4

[Professor Polonsky]

I think it is a typo because it doesn't state the standArd deviation

Well it is 0.2 according to the original question.

[Smiley_]

does anyone know how to divide something like 5x-5 by x-5 on the ti-inspire
thanks

[lzxnl]

Control divide to get to the fraction display
Or, put brackets around (5x-5) and (x-5) when dividing.

[Smiley_]

Control divide to get to the fraction display
Or, put brackets around (5x-5) and (x-5) when dividing.

that was a bad example I mean to change the form of something like
5x-3  divided by x-7

[lzxnl]

expand(fraction) will decompose (5x-3)/*(x-1) into 5 + 2/(x-1)

[Smiley_]

expand(fraction) will decompose (5x-3)/*(x-1) into 5 + 2/(x-1)

thanks

[zvezda]

Hey, how would i go about doing this q:
A spinner is numbered from 0 to 5, and each of the six numbers has an equal chance of coming up. A player who bets 1$ on any number win $5.00 if that number comes up, otherwise the 1$ is lost. What is the player's expected profit on the game?

[b^3]

Let be the amount of money won (or lost), then (below is a discrete probability distribution table)

                                         
                          


That is the expected profit is a loss of

EDIT: That is interpreting it as you lose the $1 you bet, but get $5 back if you win, i.e. profit from that result of $4, they may have interpreted it differently, in which case you'd replace the 4 with a 5, and the expected profit would be zero.

e.g
                                         
                          


That is the expected profit is , i.e. a fair game.

[zvezda]

Ahh ok. What i did was instead of having -1 in the distribution table i had 0.
Thanks !

[jimmy22]

How would you find an antiderivative of x/(x+1)   ?

cheers

[Jeggz]

How would you find an antiderivative of x/(x+1)   ?

cheers

If we divide using long division, we will get it in the form




And because it says "an" you don't need the "+ c" at the end.

[jimmy22]

If we divide using long division, we will get it in the form




And because it says "an" you don't need the "+ c" at the end.

ohh ok. Thank you very much!