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It's because you're finding the point of which the tangent touches the curve. By subbing in y = x^2 into the equation of the tangent, you find out the x-values of where the line is a tangent to the curve. It's just like how you use simultaneous equations to figure out where two graphs intersect...

Definitely advanced. Like what BLIT said, the aligning is terrible for standard and its much harder to get a Band 6 for standard than it is advanced.

Ohh thanks so much! Makes much more sense now ^^

Hey guys, So I have a physics assignment and part of it is me required to perform my own experiment. Basically, what I planned to do was drop an egg from different heights and see how as height increased the force would also increase. My way of measuring the force was to observe how the...

Go with 14 units, and that way if you think that the workload is too high and you don't particularly enjoy MX1, you could drop it. As for the decision between business/eco/PDH choose the two subjects you would enjoy the most i.e. if you've found yourself enjoying commerce and not so much PDH...

You can find the syllabus here: http://www.boardofstudies.nsw.edu.au/syllabus_hsc/ The syllabus tells you the content that you'll be covering during the preliminary and HSC course. It's basically a guideline that tells you what you're going to be examined on. As for the information, like I said...

*Dang epic, too fast :P

At my tutor a fair while ago, at school we're still going through calculus.

Yup :]

Given that the gradient of the tangent to the curve at that particular value of x is 14, dy/dx = 14 Therefore, 6x^2 + 24x + 18 = 14 6x^2 + 24x + 4 = 0 Now solve for x

Whoops my bad! Here you go:

Hey guys, I only need help with (c), can't seem to get it... Anyway thanks in advance.

The answer says 132m, but what you got was also my conclusion so either we're both wrong or the answer's wrong. I'm more-so leaning to the latter.

Hello! Q: A ball is dropped from a height of 12m. On the first rebound, it rises to a height of 10m. At subsequent rebounds it rises to a height equal to 5/6 of that which it previously attained. Calculate the total distance through which the ball moves before coming to rest. Thank you :)

Hey guys, Two questions, Q: Find the sum of: 1 - 2 + 3 - 4 + 5 -6 + ... - 100 Q: What is the least number of terms required if the sum of 15 + 20 + 25 +... is to exceed 2625? Thanks in advance!

Hey guys, Given that a and b are real, and that (2+i) is a root of the equation z^2 + (a+9i)z + b(2+11i) = 0 Determine the values of a and b. Thanks :)

Hey guys, could you suggest any interesting topics I could talk about for a speech? The topic has to satisfy at least one of: P1: outlines the historical development of major principles, concepts and ideas in physics P3: Assesses the impact of particular technological advances on...

Ah thought so, thanks!

Hey, could someone find the range of the function: Text book answer says it's all real y, I'm not too sure if that's right or not, given the graph.

Find a and b if a,b,1 forms a GP, and b,a,10 forms an AP. Answer is... GP: a= 25/4 b= 5/2 AP: a=4 b=-2 Also a) Show that if the first, second and fourth terms of an AP form a geometric sequence, then either the sequence is a constant sequence, or the terms are the positive integer multiples...