# Zubin Mukerjee

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bio website location New Haven, CT age 18 member for 1 year seen 47 mins ago profile views 390

Second-year undergraduate student at Yale University.

 25 Function differentiable on $(a,b)$ but not continuous on $[a,b]$ 10 Find the pattern puzzle 9 What's the algebraic property where you can flip the fractions in an equation? 8 Continuous functions satisfying $f(x)+f(2x)=0$? 8 Test for an Integer Solution

# 3,786 Reputation

 +25 Optimization - find the dimensions of a box as functions of volume - minimal surface area +20 If we have $f(x)=e^x$, then what is the maximum value of $δ$ such that $|f(x)-1|< 0.1$ whenever $|x|<δ$? +10 How many different (circular) garlands can be made using $3$ white flowers and $6m$ red flowers? +15 Is there any automorphism $f$ that satisfies these requirements?

# 14 Questions

 15 A tricky integral 8 How to draw greek letters on paper / blackboard? 7 Functions that satisfy $f(x+y)=f(x)f(y)$ and $f(1)=e$ 7 Are “most” continuous functions also differentiable? 6 What is the function $f(x)=x^x$ called? How do you integrate it?

# 109 Tags

 44 combinatorics × 28 22 arithmetic × 4 29 probability × 30 13 calculus × 12 29 algebra-precalculus × 14 13 puzzle × 3 29 elementary-number-theory × 10 13 functions × 3 27 real-analysis × 7 10 number-theory × 7

# 13 Accounts

 Mathematics 3,786 rep 1725 English Language & Usage 136 rep 5 Philosophy 123 rep 6 Stack Overflow 101 rep 2 Cross Validated 101 rep 2