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MATH - Advanced Math

Quiz by Florenzo Miguel Aclan (Florencii)

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30 questions
Show answers
  • Q1
    Evaluate i^(96).
    1
    -i
    -1
    i
    30s
  • Q2
    Simplify i^(39).
    1
    -1
    i
    -i
    30s
  • Q3
    What is –i^i?
    4.81
    -0.21
    -4.81
    0.21
    30s
  • Q4
    Compute log (3 – 2i).
    0.2575 – 0.3545 i
    0.5570 – 0.2554 i
    0.7580 + 0.7580 i
    1.6575 + 0.8544 i
    30s
  • Q5
    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
  • Q6
    The value of 5i is equal to,
    120
    25
    5
    1
    30s
  • Q7
    Solve the equation (x^2y – 2) + (x + 2xy – 5) i = 0.
    x = 4, y = -½
    x = 3, y = 4
    x = 1, y = 2
    x = ½, y = 3
    30s
  • Q8
    Find all values of z for which e^3z = 1.
    2kπ/3
    1/8 πi + ½ kπi
    kπi
    1/3 kπi
    30s
  • Q9
    Find all values of z for e^(4z) = i.
    πi /8 - kπi/2
    πi /2 + kπi/2
    πi /2 + kπi/8
    πi /8 + kπi/2
    30s
  • Q10
    Simplify i^247.
    i
    -i
    1
    -1
    30s
  • Q11
    If zl = 1- i, z2 = -2 + 4i and z3 = sq.rt of 3 - 2i, evaluate Re (2z1^3 + 3z2^2 - 5z3^2)
    -25
    -43
    -35
    -53
    30s
  • Q12
    Find all values of 1^sq.rt of 2.
    cos(sq.rt of 2kπ) + i sin (sq.rt 2kπ)
    cos(2sq.rt of 2kπ) + i sin (2sq.rt 2kπ)
    cos(2sq.rt of 2+kπ) + i sin (2sq.rt 2+kπ)
    cos(sq.rt of 2 +kπ) + i sin (sq.rt 2+kπ)
    30s
  • Q13
    Find log (3 + j4).
    0.7 - j0.4
    0.4 + j0.7
    0.7 + j0.4
    0.4 - j0.7
    30s
  • Q14
    Evaluate the Laplace transform of cos 2kt.
    s/(s^2+k^2)
    2k /(s^2 + 4k^2)
    s/(s^2 - 4k^2)
    s/(s^2 + 4k^2)
    30s
  • Q15
    Find the value of k if A = [3, -2] and B = [1, k] are parallel.
    -2
    3
    4/3
    -2/3
    30s

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