Bazza's 3/4 Question Thread

[pi]

2) Anyway to convert an equation to hyperbolic form on CAS?

I don't think so. CAS just gives this form
Maybe you can derive from CAS as

You can do this on the CAS, I don't have a CAS on me to remember though -_- Look under the trig submenu from memory though.

[Jenny_2108]

2) Anyway to convert an equation to hyperbolic form on CAS?

I don't think so. CAS just gives this form
Maybe you can derive from CAS as

You can do this on the CAS, I don't have a CAS on me to remember though -_- Look under the trig submenu from memory though.

Ignore my post. It wasn't the question he asked though

[WhoTookMyUsername]

Another couple of reasonably quick questions

1) anyway to get the cas to give you an equation in the form of a hyperbola ?
2) do we need to put in a "scale" along x and y axis if there isnt one on the graph?
3) when they ask to sketch a cartesian equation do we need to indicate direction?
Thanks

[pi]

1) There is but I can't remember it it at all Might have been exp or something to get it into exponential form. Don't even have a CAS on me to try either
2) Scaling is never needed
3) Direction? As in arrows on either end of the graph (if that's the case)? If the arrows, yep I would (and did).

[Somye]

3) Direction? As in arrows on either end of the graph (if that's the case)? If the arrows, yep I would (and did).

He's referring more to parametric equations where you have to put them in cartesian form and graph them.
From what I've seen in trials though, you don't need to...

1) What do you mean?

[pi]

Oh wait, for 1) do you mean they give you some algebra and then they ask you to put it into (x-h)^2/a^2 - (y-k)^2/b^2 = 1 ? If so, do that by hand

By hyperbolic I thought you meant getting rid of cosh -> exponential form, woops.

Ah, cheers Somye

[oneoneoneone]

if you type
completesquare(x^2+6x-y^2-8x=0,x,y)
 into the calculator itll give it in 'hyperbolic' form.

[pi]

if you type
completesquare(x^2+6x-y^2-8x=0,x,y)
 into the calculator itll give it in 'hyperbolic' form.

Great tip! I stand corrected

[TheRajinator]

Actually if you update you CAS software to version 3.2, in the graphs page they give you a template for drawing hyperbolas and elipses. Trust me it makes life much easier...It will also show you asymptotes without you needing to work them out.

[WhoTookMyUsername]

is an equilateral triangle an isosceles triangle?

I just did a question asking about the formation of vectors,
"Find the times, when the the point (0,5) (0,0) and a boat forms an isosceles triangle of equal sides of 5km"
I got the answers correct, however i only showed two sides WERE equal, and did not show that the remaining side was a DIFFERENT length.
Not sure if i would have lost a mark for this?

thanks

[Jenny_2108]

is an equilateral triangle an isosceles triangle?

yep

If 2 sides are equal, its an isosceles triangle, no need to show the remaining one has different length

[paulsterio]

that's like asking if a square is a rectangle.

an equilateral triangles are a subset of isosceles triangles.

[WhoTookMyUsername]

m... that's what i was thinking should be the case, bit strange the answers (Insight) justified the third part

thanks for clearing it up!

[WhoTookMyUsername]

General q: should we label undefined points? E.g. If it's x^2 over domain (0,oo) should we label (0,0)  ?
Thanks!

[pi]

General q: should we label undefined points? E.g. If it's x^2 over domain (0,oo) should we label (0,0)  ?
Thanks!

Yep