Calculus Lecture #3 Quiz
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Questions and Answers

In the context of complex numbers, what is the property of the complex conjugate of a number?

  • It changes the sign of both the real and imaginary parts
  • It changes the sign of the real part
  • It changes the sign of the imaginary part (correct)
  • It preserves the sign of both the real and imaginary parts

    • Simplify the expression $(1 - i) - (1 + i)$ into rectangular form.

  • $1 - 2i$
  • $-2 - 2i$ (correct)
  • $-2 + 2i$
  • $1 + 2i$

    • If $z = 2 + 5i$, what is the polar form of the complex number?

  • $(5, 2.68)$
  • $(5, 0.93)$ (correct)
  • $(5, 3.82)$
  • $(5, 1.19)$

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