Tema
Q:
2. Вычислить и построить на комплексной плоскости число \( \sqrt[3]{\left(-\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^{2}} \).
Q:
2. Вычислить и построить на комплексной плоскости число \( \sqrt[3]{\left(-\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^{2}} \).
\( \left(\begin{array}{cc}1 & i \sqrt{3})^{3}\end{array}\right. \)
Q:
Prove that for three sets \( \mathrm{A}, \mathrm{B} \) and C .
\( (A \cap B)^{\prime}=A^{\prime} \cup B^{\prime} \)
\( (A \cup B)^{\prime}=A^{\prime} \cap B^{\prime} \)
Define Cartesian nroduct of two sets.
Q:
1. Two of the Eigen values of the
matrix \( A=\left[\begin{array}{lll}2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2\end{array}\right] \) are equal
to 1 each. Then solve the Eigen
values of \( A^{-1} \).
Q:
1. Find the Eigen values of the
matrix \( A=\left[\begin{array}{lll}2 & 1 & 0 \\ 0 & 2 & 1 \\ 0 & 0 & 2\end{array}\right] \)
Q:
points.
4. If \( u=3 i+6 j-7 k, v=4 i-5 j+6 k \) and \( w=-2 i+3 j-9 k \) then
show that \( (u \times v) \bullet w=(v \times w) \bullet u=(w \times u) \bullet v \)
Q:
Explain the difference between exponential growth and exponential decay.
Q:
Нзобразить корни 2 степени из \( \frac{1}{2}+i \cdot \frac{\sqrt{3}}{2} \) на комплексной плоскости.
Q:
14. Which of the following statement is false?
A. \( \{\emptyset\} \in\{0,\{\varnothing\}\} \)
B. \( \emptyset \subseteq\} \)
C. \( \{\emptyset\}=\{ \} \)
D. \( \emptyset \subseteq\{0,\{\varnothing\}\} \)
Q:
A computer technician charges a fixed amount for a repair, plus an additiona
What is the meaning of the initial amount for the equation?
A. It means the technician charges \( \$ 45 \) per hour for the repair.
B. It means the technician charges a fixed amount of \( \$ 45 \) for the repair.
C. It means the technician charges a fixed amount of \( \$ 75 \) for the repair,
D. It means the technician charges \( \$ 75 \) per hour for the repair.
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