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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I have tried the chain rule and I am not getting your result above. I let u = (2x - 3) / 4 and did the usual du/dx and dy/du
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Find the derivative of in the simplest form : sin^-1 1/4 . ( 2x - 3) Answer says 2/ (7 + 12x - 4x^2)^1/2 Not sure what to do with the 1/4 Do you multiply it with the numbers in the brackets??
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I can't seem to simplify to get the answer for the second derivative Maybe my first derivative is wrong? For the first derivative I got : ( x( tan^-1 x - 1) ) / (1 + x^2) Is that correct?
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I don't know what mod is
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Could someone explain this function.
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Thanks it worked finally. But now I am having trouble with part b) So using the equation cos( a + b ) = ..... from a) I used the fact given that a + b = pi/2 from question so subing it in and RHS becomes 0 Then I got rid...
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I have done that, and got sin a = x where - pi/2 < x < pi/2 I presume in 1st quad And drew a diagram of it now if i do cos a : how do I know what the sides lengths are, I am only given 'x'.
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread How do you do this question. I used compound angle formula to get cos a cos b = sin a sinb Then plugged in a = inverse sin x and b = inverse tan x Not sure where to go from here. Were those the correct initial steps??
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread How do you do question a) The answer is 56/65
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Use a right angle triangle to show that : sin(cos^-1 x) = ( 1 - x^2)^1/2
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I get it now. Except for how you went from 2 + | N - 2 | = 2 + 2 - N
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread You lost me at solving for the inverse.......
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Can you please explain part e) .
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Now by conpleting the square or using the quadratic formula, show that f^-1 x = 1/2 ( x + ( 4 + x^2)^1/2 ) I used the quadratic formula and got the result But instead of x + (4 + .... I got x +/ - ( 4 + .... Why does...
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I now need to sketch the inverse function: I plugged it into wolfram and this is what it shows: http://www.wolframalpha.com/input/?i=x+%3D+y+-+1%2Fy+for+y+%3E+0+ I get how when you sub large y values it tends to negative...
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread THe function f(x) is defined by f(x) = x - 1/x , for x > 0 a) by considering the graphs of y = x and y = 1/x for x > 0, sketch y = f(x)
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread find the locus of z if the value of z - 1 / z - i is a) real, b) imaginary for a) I got x + y = 1 b) I got (x -1/2)^2 + (y - 1/2)^2 = 1/2 The solutions are a) The line through 1 and i, omitting i b) The circle with...
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread find the locus of z if the value of z - 1 / z - i is a) real, b) imaginary for a) I got x + y = 1 b) I got (x -1/2)^2 + (y - 1/2)^2 = 1/2 The solutions are a) The line through 1 and i, omitting i b) The circle with...
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread The variable complex number z satisfies |z - z0 | = r . Find the max and min values of: |z| I got the answer: </= represents less than or equal to |z0| - r </= |z| </= |z0| + r But the answer has something different...
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    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I have solved the equation 2sin^2x = 1 + cos2x for 0 less than or equal to x less than or equal to 2pi Solutions are x = pi/4 , 3pi/4, 5pi/4 and 7pi/4 Now how do I show that if 0 less that or equal to x less that or equal to...
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