User HOLYBIBLETHE

6 votes

Calculus proof for the area of a circle

answered Aug 29, 2012 at 7:13

4 votes

Integrating $\int \sqrt{\frac{1+x}{x}}dx$

answered Apr 4, 2013 at 11:40

3 votes

How to integrate $\frac{1}{\sqrt{1+x^2}}$ using substitution?

answered Aug 5, 2012 at 17:37

3 votes

Proof of the divisibility rule of 17.

answered Jul 23, 2012 at 11:42

2 votes

What function satisfies $x^2 f(x) + f(1-x) = 2x-x^4$?

answered Jul 27, 2012 at 3:52

2 votes

I know that, $S_{2n}+4S_{n}=n(2n+1)^2$. Is there a way to find $S_{2n}$ or $S_{n}$ by some mathematical process with just this one expression?

answered Aug 30, 2012 at 9:28

2 votes

What is the remainder when $25^{889}$ is divided by 99?

answered Mar 31, 2013 at 1:18

2 votes

how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$

answered Aug 25, 2012 at 7:29

2 votes

The figure below shows the graph of a function $f(x)$. How many solutions does the equation $f(f(x)) = 15$ have?

answered Feb 1, 2013 at 15:32

1 vote

Accepted

Solve the following homogeneous differential equation

answered Mar 6, 2013 at 14:05

1 vote

Help in proving $ \left( 1 + \frac{1}{n} \right)^{n} \leq \sum\limits_{k=0}^{n} \frac{1}{k!} < 3 $.

answered Dec 24, 2012 at 9:38

1 vote

What is the remainder when $25^{889}$ is divided by 99?

answered Apr 1, 2013 at 2:31

1 vote

Is this solution correct?

answered Jul 16, 2013 at 15:30

1 vote

Consider a function $f(x) = x^4+x^3+x^2+x+1$, where x is an integer, $x\gt 1$. What will be the remainder when $f(x^5)$ is divided by $f(x)$?

answered Jan 24, 2013 at 7:34

1 vote

what is the remainder when $(17^{3}+19^{3} + 21^{3}+23^{3})$ is divided by 83?

answered Aug 7, 2013 at 11:24

1 vote

$\sqrt{x} +y = 4$, $x+ \sqrt{y}= 6$, find the solution $(x,y)$

answered Aug 9, 2012 at 13:29

1 vote

can one derive the $n^{th}$ term for the series, $u_{n+1}=2u_{n}+1$,$u_{0}=0$, $n$ is a non-negative integer

answered Aug 18, 2012 at 9:46

1 vote

What is a good technique for solving polynomials?

answered Jul 30, 2012 at 4:33

1 vote

How do I form this equation?

answered Jul 11, 2012 at 4:43

1 vote

When does $q^b = (p^a - 1)/(p - 1)$?

answered Jul 12, 2012 at 7:13

1 vote

Homework question regarding inverse function with a cosine

answered Jul 13, 2012 at 5:24

0 votes

Efficient method to evaluate the following series: $\sum_{n=1}^\infty \frac{n^2\cdot (n+1)^2}{n!}$

answered Jul 18, 2012 at 6:04

0 votes

How to solve this Pell's equation $x^{2} - 991y^{2} = 1 $

answered Jul 19, 2012 at 15:54

0 votes

How to solve an exponential equation with two different bases: $3^x - 2^x = 5$

answered Jul 11, 2012 at 7:01

0 votes

How to derive a general formula for this problem? (pairs of people seated around a table)

answered Jul 11, 2012 at 12:55

0 votes

Function that maximizes a function

answered Jul 12, 2012 at 1:37

0 votes

When is $(6a + b)(a + 6b)$ a power of two?

answered Jul 12, 2012 at 3:26

0 votes

If a horse has 50% chance to win a 10 runner race, what is the chance to finish in Top 3?

answered Jul 10, 2012 at 12:57

0 votes

Maximum Profit at which combination

answered Aug 4, 2012 at 7:48

0 votes

What is the units digit of $13^4\cdot17^2\cdot29^3$?

answered Aug 5, 2012 at 5:36

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52 Answers

Calculus proof for the area of a circle

Integrating $\int \sqrt{\frac{1+x}{x}}dx$

How to integrate $\frac{1}{\sqrt{1+x^2}}$ using substitution?

Proof of the divisibility rule of 17.

What function satisfies $x^2 f(x) + f(1-x) = 2x-x^4$?

I know that, $S_{2n}+4S_{n}=n(2n+1)^2$. Is there a way to find $S_{2n}$ or $S_{n}$ by some mathematical process with just this one expression?

What is the remainder when $25^{889}$ is divided by 99?

how can one solve for $x$, $x =\sqrt{2+\sqrt{2+\sqrt{2\cdots }}}$

The figure below shows the graph of a function $f(x)$. How many solutions does the equation $f(f(x)) = 15$ have?

Solve the following homogeneous differential equation

Help in proving $ \left( 1 + \frac{1}{n} \right)^{n} \leq \sum\limits_{k=0}^{n} \frac{1}{k!} < 3 $.

What is the remainder when $25^{889}$ is divided by 99?

Is this solution correct?

Consider a function $f(x) = x^4+x^3+x^2+x+1$, where x is an integer, $x\gt 1$. What will be the remainder when $f(x^5)$ is divided by $f(x)$?

what is the remainder when $(17^{3}+19^{3} + 21^{3}+23^{3})$ is divided by 83?

$\sqrt{x} +y = 4$, $x+ \sqrt{y}= 6$, find the solution $(x,y)$

can one derive the $n^{th}$ term for the series, $u_{n+1}=2u_{n}+1$,$u_{0}=0$, $n$ is a non-negative integer

What is a good technique for solving polynomials?

How do I form this equation?

When does $q^b = (p^a - 1)/(p - 1)$?

Homework question regarding inverse function with a cosine

Efficient method to evaluate the following series: $\sum_{n=1}^\infty \frac{n^2\cdot (n+1)^2}{n!}$

How to solve this Pell's equation $x^{2} - 991y^{2} = 1 $

How to solve an exponential equation with two different bases: $3^x - 2^x = 5$

How to derive a general formula for this problem? (pairs of people seated around a table)

Function that maximizes a function

When is $(6a + b)(a + 6b)$ a power of two?

If a horse has 50% chance to win a 10 runner race, what is the chance to finish in Top 3?

Maximum Profit at which combination

What is the units digit of $13^4\cdot17^2\cdot29^3$?