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Yes the answer is -2. The value of integral between 0 and 1 is negative, as f(x) is under the x axis. The value of integral from 1 to 3 is positive as f(x) is above the x axis. Whenever the integral is positive its value is equal to the area. Whenever the integral is negative its value is equal...

dy/dt=1-t^-2 dx/dt=1+t^-2 dy/dx=(dy/dt)/(dx/dt) so dy/dx=(1-t^-2)/(1+t^-2) Multiply the top and the bottom by t^2 to get: or dy/dx=(t^2-1)/(t^2+1) differentiate RHS with respect to t then multiply by dt/dx (the chain rule) The second derivative= (2t(t^2+1)-2t(t^2-1))/(t^2+1)^2x t^2/(t^2+1)...

Make the t the subject in both equations you get: t=x/2 and t=1/y then equate the right hand sides to get: x/2=1/y cross multiply to get: xy=2 then make y the subject to have y=2/x or y=2x^-1 Differentiate to get the 1st derivative dy/dx=-2x^-2 differentiate again to get the second derivative...

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Cambridge Coaching at South Hurstville Sydney, provides professional tutoring for Maths and Physics for TAFE students. For more details please visit our website: www.cambridgecoaching.com.au or call us at 95470181.

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This might be of interest to physics students: Stars eruption seen 170 years ago from earth can be seen again after being reflected. For more details visit the link below. http://uanews.org/node/44892

Sorry, but I am not in the business of talking bad about others.

No many places charge extra for their booklets/worksheets which are purchased separately.

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Marking guidelines for HSC 2011 is now available at board of studies website: http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2011exams/

Re: Tuition mathematics,r Physics (Cambridge Coaching St george & Hurstville) At Cambridge Coaching, all worksheets and materials are provided free of charge for our students.

Have you heard of this guy who could be the next Einestein? Nima Arkani is his name. Google him for more info.

HSC physics syllabus:

Because following this advice my students have beaten you by ATARs 99.75, 99.7 and 99.

Correct euro. If you are currently doing your high school, we can offer you two free lessons. Please email us at admin@cambridgecoaching.com.au or call us at 95470181 to arrange your free lessons. Well done!

If you do physics, this might interest you. Once there was an ocean on the surface of Mars. http://www.astronomy.com/en/News-Observing/News/2012/02/Mars Express radar gives strong evidence for former Mars ocean.aspx

At Cambridge Coaching we believe in sharing. So here is a piece of advice: If you are doing 2 unit and 3 unit maths and aiming for a high ATAR , try to get close to 100 in 2 unit and maximise your 3 unit mark. www.cambridgecoaching.com.au

Something which might be interesting for physics students is the fact that a German sattelite of about 2500kg returned to surface missing narrowly parts of China. Google it for more info.

Group tuition at Cambridge Coaching runs for 1.5 hours and is $20/hr. Groups have a maximum of 6 students and all worksheets and materials are provided. Phone: 95470181, email: admin@cambridgecoaching.com.au website: www.cambridgecoaching.com.au