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Q16 (a) $ A=xy , where A is the area $ \textcircled{1} $ P=2x+2y , where P is the perimeter $ \textcircled{2} Perimeter=30 30=2x+2y y=15-x sub \textcircled{2} into \textcircled{1} A=x(15-x)=15x-x^2 \frac{dA}{dx}=15-2x $ To determine the maximum or minimum , set the...

do you have a final answer for those questions? just want to compare

So I have PA=r \ cos \alpha PB=r \ cos \beta PD= CQ \angle PQD=\angle QPC =\gamma tan \ \gamma=\frac{r}{QD} Here is my attempt at finding cos y tan \gamma=\frac{QC}{PC} Given QC=PD tan \gamma=\frac{PD}{PC} tan \gamma=\frac{\sqrt{r^2 \ cos^{2}...

Im still along the lines of thinking that PA^2+PB^2+PC^2=PQ^2 which is what we have to prove. The problem is if you treat PD as 'r'. I can't seem to find a way in which to get PC in terms of cos^2 y.

Thinking it might involve the use of the cosine rule. I spent another 25 minutes this morning on this question and it seems like I am going in circles at the moment.

Part (ii) seems like the more easier version of this question than part (i) Doing my fcuken head in

For those guys that don't have the book, its Q14 from this screenshot:

That term you labelled in your diagram, has thrown me off in your explanations. Isn't the angle between PA the same as PQ? Which is the same angle between the planes PA and PD ? PA=r \ cos \alpha $ and $ PD= r $ I then use the Pythagoras theorem of the base to determine the diagonal...

For the first part of this question part (i) How did you guys go about proving that cos^2 a+cos^2 b +cos^2 y =1 SPent 45 minutes getting close to it but no avail. I tried to break it up as 2 x 2 Dimensional shapes. Tried something along the lines of: PD^2+DQ^2=PQ^2 (r \ cos...

Past papers gives your more randomness and difficulty is often harder. Textbooks gives you better depth of questions. One student I did notice did often go through chapter book review questions which is often a good way to prepare.

Anyway I've taken that point on board. I think calculus your always learning new things along the way. In this question I've put that statement in before setting the derivative equal to 0.

Q9. V= Volume L=Length W=width H=Height x= represents the corner lengths

Do you happen to know Alec Lee? Im not sure how well he is known in HSC circles

Fair point. Alec Lee who is a university lecturer also told me we should define our variables. I remember he did it for every calculus application question, inverse trig function etc.................

A lecturer by the name of Alec Lee told me we should always define out variables before we do differentiation and integration. Good lecturer that man.

Defining P as the total Area of the shape. Happy?

3 Unit Year 11- 32 minutes everyday. 3 Unit Year 12- 32 minutes everyday. The more mix of questions the better.

Q8.

Squareroot did the question right but I had a go at doing it my way:

For the students that have finished the 2016 Maths Advanced Trials at Kambala was wondering if you had your school trials? I ask mainly because the HSC maths exams have finished and am wanting to suss out some more questions before 2017. If there is a price attached to that paper would be happy...