VCE Methods Question Thread!

[cosine]

May someone please show me, with hopefully the aid of a diagram (bell curve) how to do this question? Many thanks if you can help

Please someone?

[Redoxify]

it would still work for completing the square, however for the quadratic formula, it would not work, because we are using tan(x), which has an influence on the x values

[cosine]

it would still work for completing the square, however for the quadratic formula, it would not work, because we are using tan(x), which has an influence on the x values

Could you show me how to get the answer using completing the square, please? I tried but it wouldn't work

Thanks for the help!

[Redoxify]

Could you show me how to get the answer using completing the square, please? I tried but it wouldn't work

Thanks for the help!

[keltingmeith]

it would still work for completing the square, however for the quadratic formula, it would not work, because we are using tan(x), which has an influence on the x values

I hate to be the one to tell you this, but they're the same thing.

[knightrider]

Claim:

Proof:
To evaluate , we put this into the definition:

With the second line holding by the properties of integration (that is, scalars can come outside the integral), and the third line holding because all of the area under a probability density function is 1. You can also repeat this method for discrete RVs and get the same result.

... I'm honestly confused by the questions. What do you want to do with the first function? And which composition of the second functions are you looking at, gof or fog?

Thanks EulerFan101   

the question was for

What is the range of this composite function?

[keltingmeith]

Thanks EulerFan101   

the question was for

What is the range of this composite function?

Hmmm, I'm not sure what the _2 means. Assuming that's meant to be a squared, I'd do it this way:



Basically, start with the simplest thing, and move it up until you get to the thing you want.

[cosine]

Sorry could you please repeat that? There seems to be something wrong with the post or maybe it's just my internet..

Cheers

[knightrider]

Hmmm, I'm not sure what the _2 means. Assuming that's meant to be a squared, I'd do it this way:



Basically, start with the simplest thing, and move it up until you get to the thing you want.

Thanks EulerFan101 

but i dont get how gets its range?

[keltingmeith]

Thanks EulerFan101 

but i dont get how gets its range?

Exact same concept as:



Play around with the graphs and see what happens.

[cosine]

How can I find the derivative of |sin(x)(sin(x)-cos(x)|? I can use the calculator, but even that won't give me the desired answer

If we are given a normal distribution, can we still use the binomial distribution rules to determine the probability of a certain parameter? For example we are given the mean and standard deviation of a normal distribution, and then we are asked to work out the number of heads are obtained, given that number of trials is 2?

Many thanks in advance

[cosine]

How can I solve for k:

[cosine]

Why is it that in standard normal distributions, the mode is the x value for the highest y value?

Cheers.

[Redoxify]

How can I solve for k:

-4k^2<-3
k^2>3/4
k>root(3)/2

[cosine]

-4k^2<-3
k^2>3/4
k>root(3)/2

Why did you disregard the negative solution of k? Is this meant to be included? Why/why not? Cheers