HSC 2006 6 (a) (ii) L^2 = 2V^2(1-sin@)t^2 - 2aVcos@t + a^2 The right hand side of L^2 is a quadratic in t, which has a minimum value since 2V^2(1-sin@) > 0 for 0 < @ < pi/2. My question is how?
Here's an easier question (that I can't solve): Water flows into and out of a tank at a rate (in litres/hour) given by R = 2 pie sin(pie t). If the tank is initially empty at 10am, find the first time (after 10am) when the tank is filling at its greatest rate. The answer is 10:30am...
Hi! Can I please have some help with the below?
When you integrate nCn x^n,
is it nCn [ (-1)^n / (n+1) ]?
And, if so, how did you get it?
Also, is nC2 = [ n(n-1) / 2 ]?
Again, if so, how did you get it?
Thank you! :)
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Jesus Christ sacrificed Himself...