13168467
Description
Quiz by Sacheth Sathyanarayanan, updated more than 1 year ago
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Question 1
Question
is this formula correct?
\begin{aligned}
\left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)
\end{aligned}
Answer
-
YES
-
NO
-
\begin{aligned} \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \end{aligned}
Question 2
Question
\begin{aligned}
\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
\frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\
\frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0
\end{vmatrix}
\end{aligned}
Answer
-
Parameters not OK
-
Parameters OK
Question 3
Question
\begin{aligned}
P(E) = {n \choose k} p^k (1-p)^{ n-k}
\end{aligned}
Answer
-
\begin{aligned} \dot{x} & = \sigma(y-x) \\ \end{aligned}
-
\begin{aligned} \dot{y} & = \rho x - y - xz \\ \end{aligned}
-
\begin{aligned} \dot{z} & = -\beta z + xy \end{aligned}
Question 4
Question
True or false?
Answer
- True
- False
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