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CS-60 Foundation Course in Mathematics in Computing

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CS-60 Foundation Course in Mathematics in Computing

  1. Trace the following curves
    y = x/(1+x2)                                                                           (5 marks)

  2. Obtain fifth roots of 4+3i                                                                           (5 marks)
  3. Prove that ½4x-5y½£ 4½x½+5½y½.                                                         (5 marks)
  4. If α, b, g are the roots of the equation
                                 
    5x3─8x2 + 7x + 6 = 0

    Find the equation whose roots are

    α2 + b2 + bα , b2 + g2 + g b,   g2 + α2 + gα                                      (5 marks)

  5. Find the perimeter of the cord r = a (1+cos q)                              (5 marks)