Bored of Studies - Mathematics (Extension 1)

Bored of Studies - Mathematics (Extension 1) http://community.boredofstudies.org en Sat, 21 Nov 2009 16:55:06 GMT vBulletin 60 http://community.boredofstudies.org/images/misc/rss.jpg Bored of Studies - Mathematics (Extension 1) http://community.boredofstudies.org Teaching Extension 1 http://community.boredofstudies.org/showthread.php?t=229154&goto=newpost Thu, 19 Nov 2009 23:53:37 GMT Hi all,

I'm a recent teaching graduate who's going to teach Extension 1 next year. What I'm looking for is some really good ideas for lessons. I really want my students to both do well and have some fun.

I've just worked through the last 10 years of HSC papers so I'm trying to develop understanding rather than just telling students to do all the textbook problems (Which would help to). I figured that the people doing the subject and those that have just completed it would be the best people to ask.

Would science style experiments for topics such as applications of calculus help?

Many thanks
Josh ]]> Mathematics (Extension 1) Vigar http://community.boredofstudies.org/showthread.php?t=229154 :dd http://community.boredofstudies.org/showthread.php?t=229108&goto=newpost Thu, 19 Nov 2009 10:10:04 GMT An enclosure is to be built adjoining a barn. The walls of the barn meet at 135* and 117m of fencing is available
Show that the area of the enclosure is A = 117x - (3/2)x^2

Note : attached the diagram of barn (must need)
It's a square and a triangle

Tytytyty ;)

Attached Files

Bos question.doc (24.5 KB)

]]> Mathematics (Extension 1) fullonoob http://community.boredofstudies.org/showthread.php?t=229108 Studying for first HSC assessment http://community.boredofstudies.org/showthread.php?t=229105&goto=newpost Thu, 19 Nov 2009 09:50:39 GMT I am an accelerant student in year 10 and I have my first HSC exam next week. I'm not very sure how to study I'd like some help.

In my MX1 Exam I gotta study

Circle Geo: 2-6-2.10

Perms and Combs: 18.1

Geometrical applications of differentiation: 10.1-10.8

In 2 Unit I have to study

Properties of shapes etc (not really sure of the topic name) : 2.1-2.4

Probability: 3.1-3.3

Geometrical applications of differentiation: 10.1-10.8

What should my study plan look like? My inefficient study methods limited me in preliminary, and if anyone could help me, I'd appreciate it. ]]> Mathematics (Extension 1) Pacism http://community.boredofstudies.org/showthread.php?t=229105 Polynomials question help http://community.boredofstudies.org/showthread.php?t=228852&goto=newpost Tue, 17 Nov 2009 04:46:02 GMT This question is Q9 Ex10.2 out of Maths in Focus (Book 2)

The question says use Newton's method once to find correct to 2dp

(a) cubed root of 5
(b) fifth root of 400
(c) fourth root of 55..... etc

I have no clue how to do these types of questions. Help please ]]> Mathematics (Extension 1) captainvagina http://community.boredofstudies.org/showthread.php?t=228852 indices-sequences and series http://community.boredofstudies.org/showthread.php?t=228847&goto=newpost Tue, 17 Nov 2009 03:04:04 GMT I know how to do basic indices but I don't understand simplifying when the base numbers are the same, evaluating, etc.
Can someone explain as much as you can about indices or tell me a useful website? ]]> Mathematics (Extension 1) kr73114 http://community.boredofstudies.org/showthread.php?t=228847 exact value using double angles - please help http://community.boredofstudies.org/showthread.php?t=228846&goto=newpost Tue, 17 Nov 2009 02:59:40 GMT find the exact value of sin 67.5 degrees using sin 2 x. I'm having trouble with this one, because after a certain point i have no idea what to do..

my attempt:

sin 2(67.5)=2sin(67.5)cos(67.5)
sin 135 = 2sin(67.5)cos(67.5)
1/√2 = 2sin(67.5)cos(67.5)

and i have no idea what to do afterwards. any help will be greatly appreciated. ]]> Mathematics (Extension 1) boogaaaaa http://community.boredofstudies.org/showthread.php?t=228846 Integration problem http://community.boredofstudies.org/showthread.php?t=228760&goto=newpost Mon, 16 Nov 2009 08:57:53 GMT Hi can anybody help to integrate (3x-2)(2x-3)^1/2 Thanks Hi can anybody help to integrate (3x-2)(2x-3)^1/2

Thanks ]]> Mathematics (Extension 1) spidey4 http://community.boredofstudies.org/showthread.php?t=228760 Revision http://community.boredofstudies.org/showthread.php?t=228704&goto=newpost Mon, 16 Nov 2009 00:27:25 GMT Image: http://www.mathhelpforum.com/math-help/members/xwrathbringerx-albums-circle-geometry-picture760-untitled.bmp For (a), is the answer: Image:...]]>

For (a), is the answer:

For (b), do I just say the integral gives the area under the semi-circle and above the x-axis between x = 0 and x = b ??? ]]> Mathematics (Extension 1) Sunyata http://community.boredofstudies.org/showthread.php?t=228704 Inverse trig. http://community.boredofstudies.org/showthread.php?t=228690&goto=newpost Sun, 15 Nov 2009 19:08:09 GMT Could someone please show me how to solve these equations: a) arccos(x) + arccos(x*sqrt(3)) = pi/2 b) 2arcsin(x*sqrt(6)) + arcsin(4x) = pi/2 Could someone please show me how to solve these equations:

a) arccos(x) + arccos(x*sqrt(3)) = pi/2

b) 2arcsin(x*sqrt(6)) + arcsin(4x) = pi/2 ]]> Mathematics (Extension 1) xwrathbringerx http://community.boredofstudies.org/showthread.php?t=228690 Implicit Differentiation Help http://community.boredofstudies.org/showthread.php?t=228479&goto=newpost Sat, 14 Nov 2009 03:10:48 GMT Hi, I'm in year 10, so i'm not a genius at this or anything. The question is
(out of Cambridge 3Unit Book)
2e) Find dy/dx for the curves defined by these equations.
e) x^3 + xy^2 = x^2y y^3
my working out is here

Sorry if its a bit messy.
I think i go it wrong, but the answers give an answer by completing the square... so yeah. If you can help me, tell me what i got wrong, that would help a lot. Thanks! ]]> Mathematics (Extension 1) RaxX http://community.boredofstudies.org/showthread.php?t=228479 Max and Min http://community.boredofstudies.org/showthread.php?t=228419&goto=newpost Fri, 13 Nov 2009 10:22:11 GMT Find the value of a for which the area of triangle formed by the tangent and the coordinate axes will be minimum. Equation of tanget at P : y = a^2 - 2ax + 4 Tangent : P (a , 4-a^2) Thanks :D Find the value of a for which the area of triangle formed by the tangent and the coordinate axes will be minimum.
Equation of tanget at P : y = a^2 - 2ax + 4
Tangent : P (a , 4-a^2)

Thanks :D ]]> Mathematics (Extension 1) fullonoob http://community.boredofstudies.org/showthread.php?t=228419 Inverse Trig. http://community.boredofstudies.org/showthread.php?t=228400&goto=newpost Fri, 13 Nov 2009 08:42:50 GMT Sketch the curve Image: http://www.mathhelpforum.com/math-help/latex2/img/315656603e5b2a79d653f4f566269df2-1.gif (http://java_script:;) and give a geometric interpretation of each term of your integral. Could someone explain to me how to do this question please? What on earth does the curve... Sketch the curve

and give a geometric interpretation of each term of your integral.

Could someone explain to me how to do this question please? What on earth does the curve look like and what is geometric interpretation??? ]]> Mathematics (Extension 1) Sunyata http://community.boredofstudies.org/showthread.php?t=228400 Maths http://community.boredofstudies.org/showthread.php?t=228283&goto=newpost Thu, 12 Nov 2009 09:14:17 GMT Two sides of a rectangle lie along the x and y axes. The vertex opposite the origin is in the first quadrant and lies on 3x+2y = 6. What is the maximum area of the rectangle. Two sides of a rectangle lie along the x and y axes. The vertex opposite the origin is in the first quadrant and lies on 3x+2y = 6. What is the maximum area of the rectangle. ]]> Mathematics (Extension 1) fullonoob http://community.boredofstudies.org/showthread.php?t=228283 Help ! http://community.boredofstudies.org/showthread.php?t=228276&goto=newpost Thu, 12 Nov 2009 08:39:07 GMT 1. show that the locus of the mid point of chords in the parabola xsquared=4ay and which pass through the vertex is another parabola xsquared=2ay. 2. Two points, P , Q move on the parabola xsquared=4ay so that the x coordinates of P and Q differ by a constant value, 2a. What is the locu of M.... 1. show that the locus of the mid point of chords in the parabola xsquared=4ay and which pass through the vertex is another parabola xsquared=2ay.

2. Two points, P , Q move on the parabola xsquared=4ay so that the x coordinates of P and Q differ by a constant value, 2a. What is the locu of M. the mid point of PQ.

3. Prove that the locus of the mid point M of focal chords in the parabola xsquared=4ay is the parabola xsquared=2a(y-a). ]]> Mathematics (Extension 1) Da_Bomb http://community.boredofstudies.org/showthread.php?t=228276 Tricky Derivative Question http://community.boredofstudies.org/showthread.php?t=227669&goto=newpost Sat, 07 Nov 2009 23:11:07 GMT Consider the curve y = e^(-x^2) and we drew a rectangle bound by the curve and the x axis.

Show that the rectangle will have maximum area when the upper right hand side corner is a point of inflexion.

And can you include working out please?

Sorry I don't have a picture and thanks for your help! ]]> Mathematics (Extension 1) inedible http://community.boredofstudies.org/showthread.php?t=227669