Search results

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I was able to do parts A and B but I'm stuck in part C i and ii.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thanks!

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread In this question, is it safe to assume that since the motion is parabolic, then the highest height occurs at half its range, i.e: x=4?

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I used 20% of 50 m/s instead of 5sqrt58. :/ Thanks for your help Integrand!

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I'm trying to do part c however the answer I get is 41.268... and the answer at the back of the book is 50. My working out is the following: http://imgur.com/7PO10sn Thank you.

Thank you ^_^

Prove that Thanks guys.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thank you, but is there a way to do it using calculus instead of physics formulae?

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Part a asks to find the maximum velocity and it is clear that it occurs when t=10 i.e. 20m/s but I'm not sure how to do a proper working out :/ Also I'm stuck on figuring out the total distance.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thank you

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread In part a, I found the tangent to be: From the graph we see that the tangent is to the 'right' of the curve y=arcsinx x=siny but the y-intercept ends up to be pi/3-sqrt3 and subbing in in the integral doesnt give me 1/4...

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread That's what I thought. Thank you InteGrand. Btw is it allowed to test nature of stationary points by using a table of values or is it always have to be done by finding second derivative?

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread A=(2tana+1)^2/2tana dA/da=sec^2a(4tan^2a-1)/2tan^2a d^2a/da^2=(sec^2a(4tan^4a−tan^2a+sec^2a))/tan^3(x)

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Excercise 14H, Question 19. In part d they ask to show that the area of the rectangle is maximised when tana=1/2. However when I find the nature of the stationary point it gives me a minimum. :/

a) I didnt even see the date. I assumed it was recent b) My bad sorry.

I assumed log = log base 10.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thank you Ambility.

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Question 21b. Chapter 14 set B 21. The diameters of two circular pulleys are 6cm and 12cm and their centres are 10cm apart. (a) Calculate the angle α in radians, correct to four decimal places. (b) Hence find, in centimetres...

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thank you InteGrand!