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ADVANCE MATH N VECTOR ANALYSIS 1-15

Quiz by Dex Mimay

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15 questions
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  • Q1
    Evaluate i^96
    i
    1
    -i
    -1
    30s
  • Q2
    Find /e^iz/ if z=6e^i pi/3.
    e^-3sq.rt of 3
    e^-3/sq.rt of 3
    e^-sq.rt of 3/3
    e^ sq.rt of 3/3
    30s
  • Q3
    Evaluate (1 + i) to the exponent (1 - i).
    2.82 - 1.32i
    2.82 + 1.32i
    -2.82 - 1.32i
    -2.82 + 1.32i
    30s
  • Q4
    If zl = 1- i, z2 = -2 + 4i and z3 = sq.rt of 3 - 2i, evaluate Re (2z1^3 + 3z2^2 - 5z3^2)
    -35
    - 43
    -25
    -53
    30s
  • Q5
    Find all values of 1^sq.rt of 2.
    cos(2sq.rt of 2+kπ) + i sin (2sq.rt 2+kπ)
    cos(sq.rt of 2 +kπ) + i sin (sq.rt 2+kπ)
    cos(sq.rt of 2kπ) + i sin (sq.rt 2kπ)
    cos(2sq.rt of 2kπ) + i sin (2sq.rt 2kπ)
    30s
  • Q6
    Find all values of z for e^(4z) = i,
    πi /2 + kπi/2
    πi /8 + kπi/2
    πi /2 + kπi/8
    πi /8 - kπi/2
    30s
  • Q7
    Find log (3 + j4).
    0.4 - j0.7
    0.7 + j0.4
    0.4 + j0.7
    0.7 - j0.4
    30s
  • Q8
    Find the value of x for 4x+ 4 + i(xy^2 + x) = xy + 8 +i(x^2y + y)
    -2
    4
    2
    3
    30s
  • Q9
    What is –i^i?
    -4.81
    4.81
    0.21
    -0.21
    30s
  • Q10
    Simplify 12cis45 deg / 3cis15 deg.
    2 sq.rt of 3 + j2
    2 sq.rt of 3 – j2
    3 sq.rt of 2 + j2
    3 sq.rt of 2 – j2
    30s
  • Q11
    Evaluate log(2-5i)
    0.7 – 0.4i
    0.7 + 0.4i
    0.7 – 0.5i
    0.7 + 0.5i
    30s
  • Q12
    Simplify i^29 + i^21 + i.
    2i
    -2i
    -3i
    3i
    30s
  • Q13
    What is (1+i) raised to power 10?
    23i
    32i
    52i
    36i
    30s
  • Q14
    Find all values of lni.
    i (2k + 1) π/2
    πki/2
    iπ/2
    i (2k + ½) π
    30s
  • Q15
    Find all values of z for e^3z = 1,
    2πk/3
    2π/3
    2πk i/3
    2π i/3
    30s

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