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Feb
9
revised Calculate sum $\sum\limits_{k=0}k^2{{n}\choose{k}}3^{2k}$.
added 182 characters in body
Feb
9
answered Calculate sum $\sum\limits_{k=0}k^2{{n}\choose{k}}3^{2k}$.
Feb
9
revised Find $\lambda$ if $\alpha + \beta - \gamma = \pi$, and $\sin ^ 2\alpha + \sin^2\beta - \sin^2\gamma = \lambda\sin\alpha\sin\beta\cos\gamma$
added 82 characters in body
Feb
9
answered Find $\lambda$ if $\alpha + \beta - \gamma = \pi$, and $\sin ^ 2\alpha + \sin^2\beta - \sin^2\gamma = \lambda\sin\alpha\sin\beta\cos\gamma$
Feb
9
comment Divisibility problem: $ \frac{3^{m}}{2^{n} - 3^r} $
@Lely, As explained in the answer $r=s$ is required for all $n,r\ge0$
Feb
9
answered Divisibility problem: $ \frac{3^{m}}{2^{n} - 3^r} $
Feb
9
comment Divisibility problem: $ \frac{3^{m}}{2^{n} - 3^r} $
Trivial cases $$2^2-3^1=1, 2^3-3^2=-1$$
Feb
9
revised Inverse Functions and $u$-Substitution
added 111 characters in body
Feb
9
answered Optimization with a few Variables (AMC 12 question)
Feb
9
answered Strong Induction and Recursion
Feb
9
comment What is the inverse of this function?
@MichaelHardy,sorry for the wrong notation.
Feb
9
revised What is the inverse of this function?
edited body
Feb
9
answered Inverse Functions and $u$-Substitution
Feb
9
comment Complex Exponential/Trigonometric Functions
mathworld.wolfram.com/EulerFormula.html
Feb
9
comment what is the exact value of $\operatorname e$
en.wikipedia.org/wiki/E_(mathematical_constant)
Feb
9
comment a and b are integers where gcd(a,b)=p which is a prime. find gcd(a^2,b^2).
@magnuspaajarvi, We have $$(a^n,b^n)=p^n(A^n,B^n)=p^n=(a,b)^n$$
Feb
9
answered $74x \equiv 1 \bmod 53$
Feb
9
answered a and b are integers where gcd(a,b)=p which is a prime. find gcd(a^2,b^2).
Feb
9
answered What is the inverse of this function?
Feb
9
answered Prove $5\mid2^{4n}-1$ by induction