# dave

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# 8 Questions

 4 Finding the indefinite integral $\int\frac{\sqrt{x+8}}{\sqrt{x-3}-\sqrt{x+3}}dx$ 2 Prove that $6^{\sqrt n} = O({n \choose n/2})$ 2 Positive and unitary operator over a finite dimensional vector space 2 Prove T is normal if and only if T = T1 + iT2, where T1 and T2 are selfadjoint operators which commute. 1 prove\disprove - there are functions $f(n)$ and $g(n)$ such that $g(n) = o(1)$ and $f(n-g(n)) \neq \Theta((f(n))$

# 148 Reputation

 +5 prove\disprove - there are functions $f(n)$ and $g(n)$ such that $g(n) = o(1)$ and $f(n-g(n)) \neq \Theta((f(n))$ +10 Expectation value of certain number of trials of multinomial distribution. +10 Prove that $6^{\sqrt n} = O({n \choose n/2})$ +5 Positive and unitary operator over a finite dimensional vector space

 1 Expectation value of certain number of trials of multinomial distribution. 0 Change of basis when given linear transformation in another basis

# 14 Tags

 1 probability × 2 0 computer-science × 3 1 multinomial-coefficients 0 recursion 0 homework × 7 0 recurrence-relations 0 linear-algebra × 4 0 recursive-algorithms 0 computational-complexity × 3 0 probability-distributions

# 1 Account

 Mathematics 148 rep 7

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