• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Search results

  1. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread If your find the the volume and its equal to : pi Integral from -1 to 0 of (x + 1)^2 dx is that just equal to {(x+1)^3}/ 3 or is it necessary to to expand the brackets first then find the integral of it. I did both methods...
  2. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Now I need to find the area of the triangle ABC, where A, B represent the points on the curve at x = +- 1 at C represents the point of intersection fo the tangents from these points So using 1/2 . lenght . width I know the...
  3. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread But the same problem still arises, using m1 = 1 and m2 = -1 The numerator is 2 now but the denomiator becomes 0 Right?
  4. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I have sketched the curve y = ln |x| And Found the tangent at x = 1 to be y = x - 1 x = -1 to be y = x + 1 Now I need to determine the angle with which the two tangents from the curve at the points x = +- 1 meet So I...
  5. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Consider the curve y = e^x i) Find the equation of the tangent to the curve at the point ( k, e^k) So i got y = xe^k - ke^k + e^k Now part ii) Show that the line y = x + 1 is tangent to the curve How do I do this? Is it...
  7. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Yes it is 3U and no precursor question , and what is IBP?
  8. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Given that k is an even integer, find Integral from -2 to 2 x(e^x)^k dx
  9. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Consider the curve y = -xlnx + 4 Given that y'' < 0 for all values of x in the natural domain. What is the natural domain and range of the curve??
  10. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Find d/dx ( x^2logx) ... = 2xlnx + x Hence evaluate Integral from 1 to e xlnx dx I get the answer : (e^2 + 1)/4 Could someone see if they get the same result. The answer says its (e^2 - e + 1)/ 2 Still can't figure...
  11. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Is it not just the chain rule??
  13. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I don't remember this log law. Is it a standard one that I should know?? Or is it from somewhere else??
  14. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread How do you get your first line of working?? are you using a log law ??
  15. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Take logs of both sides and differentiate y = e^1/x I get up to x = 1/ (lny) but am unsure on how to proceed.
  16. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread But if you needed to show working, how would you go about doing so. I have tried grouping but that doesn't work .
  17. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread How do you factorise y = x^3 - 6x^2 + 5x + 12
  19. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Find all the roots to the equation z^3 + 1 = 0 in modulus -argument form , giving the principle argument.
  20. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I know what the graph of y = lnx is, but can someone help me through the transformation of this to f(x) = 1 - lnx isn't the negative sign in front of the log mean that it is reflected in the y axis. The answer says its...
  21. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread For Sketch the locus represented by the equation |z^2 - z -2 | = | z + 1| Do i just use z = x + iy and simplify I am half way through this method and its a huge mess of expansion.
  22. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I have sketched the locus of arg( z - i ) = pi/3 Now how do I find the cartesian equation of the locus, stating any restrictions on the domain. Unsure how to get the equation. Do i sub in x + iy for z ??
  23. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread How do you shade the region defined by the inequality | (z + 1)/ (z - i ) | greater than or equal to 1 Am i right in saying: 1) let z = x + iy 2) rationalise the denominator 3) then get it in the form of x + iy 4)...
Top