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Catalogs Discussion Forums -> Algebra -> wats the remainder when 1!+2!+3!+...+175! is divided by 15?rates assured. -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
you mean 3 right ??? :)
Catalogs Discussion Forums -> Analytical Geometry -> what is the mininum distance between 2 parallel lines? -> Go to message
This Post 7 points    (Olaaa!! Perrrfect answer.   in 2 votes )   [?]

Let Ax_1+By_1+C_1=0\ and\ Ax_2+By_2+C_2=0 be two parallel lines.. And d is the perpendicular distance between them... Then.

 

d=\frac{|C_2-C_1|}{\sqrt{A^2+B^2}}

Catalogs Discussion Forums -> Algebra -> binomial -> Go to message
This Post 10 points    (Olaaa!! Perrrfect answer.   in 2 votes )   [?]

2^{16}\equiv1\mod17\Rightarrow 2^{2000}\equiv1\mod17\Rightarrow 2^{2009}\equiv512\equiv2\mod17

Catalogs Discussion Forums -> Algebra -> why is o! = 1? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
http://www.goiit.com/posts/show/1103211.htm
Catalogs Discussion Forums -> Algebra -> If a, b, c are +ve nos. such that 3a+2b+c=1, the greatest value of a^3 * b^3 * c^2 is? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

..

Catalogs Discussion Forums -> Algebra -> plz help me.... -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
http://en.wikipedia.org/wiki/Euler%27s_theorem
Catalogs Discussion Forums -> Lounge -> beep -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
and my answer was not a guess.. try renaming the file before uploading it :D
Catalogs Discussion Forums -> Lounge -> beep -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
sikkim
Catalogs Discussion Forums -> Algebra -> how to use congruent modulos to find remainders....like for suppose...find the remainder -> Go to message
This Post 2 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]

From Euler's totient theorem

 

3^{phi{100}}equiv01mod100

 

3^{40}equiv01mod100

 

So, 3^{4000}equiv01mod100

Catalogs Discussion Forums -> Algebra -> Find the Log of 1/256 to the base 2.(root 2) -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

\log_{2\sqrt2}\frac1{256}\\\\=\log_{2\sqrt2}2\sqrt2^{-\frac{16}{3}}=\frac{-16}{3}

 

2^3=(2\sqrt2)^2\\\\\Rightarrow 2^8=256=(2\sqrt2)^\frac{16}{3}

Catalogs Discussion Forums -> Algebra -> Find the Log of 1/256 to the base 2.(root 2) -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

\log_{2\sqrt2}\frac1{256}??

Catalogs Discussion Forums -> Algebra -> how to solve eqations with degree greater than 2 -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

rational roots theorem can be a help if the equation has rational roots. If it has irrational roots the you can not solve without using a computer.

Catalogs Discussion Forums -> Algebra -> Remainder problems: -> Go to message
This Post 10 points    (Olaaa!! Perrrfect answer.   in 2 votes )   [?]

These are quite easy if you know congruency...

7103 is divided by 5

From Fermat Little Theorem,

7^4equiv 1mod5Rightarrow 7^{103}equiv343equiv3mod5

 

3232power 32 is divided by 7

 

32^6equiv 1mod7Rightarrow 32^{32^{32}}equiv2^{32}equiv2^{30}cdot2^2equiv4mod7

 

So leaves remainder 4 when divided by 7..

 

3232 is divided by 3

 

 

22225555 + 55552222 is divided by 7

 

 

 

So, 22225555 + 55552222     leaves remainder 0 when divided by 7

Catalogs Discussion Forums -> Algebra -> express in polar form: -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

r=sqrt{x^2+y^2}=2

 

Let z

 

arg z

 

Now z lies in IIIrd quadrant..

 

\arg z=\theta=-\pi+\frac\pi{3}

 

z=re^{i	heta}

 

z=2\left(\cos\left(-\pi+\frac\pi{3}\right)+i\sin\left(-\pi+\frac\pi{3}\right)\right)=2\left(\cos\left(-\frac{2\pi}{3}\right)+i\sin\left(-\frac{2\pi}{3}\right)\right)=2\left(\cos\left(\frac{2\pi}{3}\right)-i\sin\left(\frac{2\pi}{3}\right)\right)

 

 

Catalogs Discussion Forums -> Algebra -> algebra unleashed -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

Hint :- 2\sqrt{n}-2<1+\frac{1}{\sqrt{2}}+\frac1{\sqrt{3}}+\dots+\frac1{\sqrt{n}}<2\sqrt{n}-1

Prove the above inequality..

 

Catalogs Discussion Forums -> Integral Calculus -> what is euler's theroem -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

in integral calculus ??????????

 

in number theory a^{\phi (n)} \equiv 1 \mod{n}

 

 

Catalogs Discussion Forums -> Algebra -> algebra unleashed -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

no answers till now !! I can't wait :D

 

i am telling the answer.. 197

Catalogs Discussion Forums -> Algebra -> 7. 0.15, 0.015, 0.0015, ... 20 terms. find sum of G.P. ans is 1/6[1-(0.1)^20] . wrking -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]

S_n=\frac{a(1-r^n)}{1-r}

S_{20}=\frac{0.15(1-0.1^{20})}{1-0.1}=\frac{1.5(1-0.1^{20})}{9}=\frac{(1-0.1^{20})}{6}

Catalogs Discussion Forums -> Algebra -> prove that -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
oops...
Catalogs Discussion Forums -> Integral Calculus -> For the integration lovers....to see who gets this first... -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
sin nx ? i consider that to be a typo..
 
 
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