ATAR Notes: Forum

Archived Discussion => 2009 => End-of-year exams => Exam Discussion => Victoria => Mathematical Methods (and CAS) => Topic started by: wildareal on July 16, 2010, 12:12:26 am

Title: Integration Question
Post by: wildareal on July 16, 2010, 12:12:26 am: A long trough whose cross-section is parabolic is 1 and a 1/2 metres wide at the top and 2 metres
deep. Find the depth of water when it is half-full.
Title: Re: Integration Question
Post by: brightsky on July 16, 2010, 12:38:02 am: Turn the trough on its side and sketch the sideways parabola on the Cartesian plane, let's say with the turning point at (0,0) and the endpoints at (2, 3/4) and (2, -3/4). Let the point on the x-axis at which $\int^a_0 f(x) dx = \int^2_a f(x) dx$ , where $f(x)$ is the equation of your sideways parabola.

Should be just a matter of computation now. :)
Title: Re: Integration Question
Post by: bar0029 on September 23, 2010, 03:41:43 pm: where can i find out what was the cut off for an A+ etc. for this exam?