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Re: HSC 2015 2U Marathon That is correct. $(1) Show that if $y=\frac{e^x+e^{-x}}{2}$, then $y''=\sqrt{1+(y')^2}$. \\\indent (2) For what values of $k$ is the quadratic $kx^2-2x\sqrt{6}+k+1$ positive definite?

Re: HSC 2015 2U Marathon $Consider the function $y=\frac{x^2}{1+x^2}.$ \\(i) ~Show that $f''(x)=\frac{2(1-3x^2)}{(1+x^2)^3}$. \\(ii) For what values of $x$ is the function concave up?

Re: HSC 2015 2U Marathon Yep that's the correct answer.

Re: HSC 2015 3U Marathon (i) 5C3 = 10 (ii) 9C3 - 5C3 = 74 Is that right?

MC: http://imgur.com/a/7uctQ Options: http://imgur.com/a/2BR9f

Re: HSC 2015 2U Marathon $The region bounded by the parabola $y=x^2$ and the circle $x^2+y^2=12$ is shown. The parabola and circle intersect at P and Q.$ $(i)~~~P and Q have the same y-coordinate. Find its value.$ \\\indent $(ii)~~Find the exact value of the solid generated when the shaded...

Re: HSC 2015 2U Marathon Is the answer $1531.63?

re: HSC Chemistry Marathon Archive Ensure electrolytes are 1M, and conditions are 25 degrees/100kPa. Clean the electrodes too.

(i) \begin{align*}\textup{Crossover frequency}&=\frac{\textup{No. of recombinant types}}{\textup{Total no. of offspring}}\times 100 \\&=\frac{3+3}{3+3+27+27} \times 100 \\&=\frac{6}{60}\times 100 \\&=10 \textup{ map units}\end{align*} (ii) I think it was right because from A to E is 10 map...

Options: http://imgur.com/a/2BR9f

Did no one else get to take part of the exam home? Anyone want pics of the option topics?

No worries man, was pretty surprised when I saw those.

Which part?

Yea I was pretty surprised when that popped up. That and the comparison of movement of sugars in human tissue and plant tissue question were similar to some in my trial exam.

The hypothalamus doesn't release ADH, it stimulates the pituitary gland to do so. Also be specific in that it acts to increase the permeability of the membranes of cells lining the distal and collecting tubules to water. For aldosterone: a decrease in sodium ion concentration leads to a...

Good luck everyone!

Congrats to whoever got 70

Phloem - Source-path-sink theory Xylem - Transpiration stream theory

Yep that's correct. The sample answers had: "Movement of bloods relies on the pumping of the heart, while movement of phloem sap relies on differences in osmotic pressure".

Not enough differences. You could also mention: - Blood flows in one direction in arteries, capillaries and veins, whereas phloem sap direction can vary - Blood moves in different vessels (arteries, capillaries, veins) whereas phloem moves in sieve tubes - Phloem carries products of...