darksky
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201
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### Questions (8)

 4 What is the maximum of $x^3y^3 + x^3z^3 + y^3z^3$ subject to $x+y+z=1$? 3 Expected number of flips until kth head 2 Solve $a^x + b^x = c$ for $x$. 1 In a 4-card hand consisting of only numbered cards (2 - 10), what is the probability that the sum of red cards is twice the sum of black cards? 1 Evaluate the following limit

### Reputation (201)

 +10 Jobs in industry for pure mathematicians +20 What is the maximum of $x^3y^3 + x^3z^3 + y^3z^3$ subject to $x+y+z=1$? +10 Solve $a^x + b^x = c$ for $x$. +5 Expected number of flips until kth head

 2 Jobs in industry for pure mathematicians 0 Under certain conditions $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a'}+\frac{1}{b'}+\frac{1}{c'}\Rightarrow \{a,b,c\}=\{a',b',c'\}$

### Tags (14)

 2 career-development 0 optimization × 2 2 advice 0 polynomials 2 soft-question 0 algebra-precalculus 0 calculus × 3 0 diophantine-equations 0 probability × 3 0 elementary-functions

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