Latex formulas

Description

Simple MathJax formulas for quizzes
Warren Buffett Fan Club
Quiz by Warren Buffett Fan Club, updated more than 1 year ago More Less
Chris Smith
Created by Chris Smith over 10 years ago
Warren Buffett Fan Club
Copied by Warren Buffett Fan Club almost 7 years ago
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Resource summary

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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