User windircurse

4 votes

Use Trig Identities to solve $\sin x \cos^4 x+\cos^6 x$

answered Feb 17, 2017 at 18:42

3 votes

How can $\int \frac{2^x3^xdx}{9^x-4^x}$ be found?

answered Feb 12, 2017 at 10:38

3 votes

is this correct? $\binom{n}{k}=\binom{n}{k-1}-\binom{n-1}{k-1}$?

answered Jun 20, 2017 at 16:48

3 votes

A combinatorial task I just can't solve

answered May 10, 2016 at 11:36

3 votes

Doubt on evaluation of limits using squeeze theorem /sandwich theorem

answered May 10, 2016 at 18:19

3 votes

Accepted

Getting $\sin^2$ and $\cos^2$ values from $\sin^2 \alpha = \frac{1}{4} \cos^2 \alpha = \frac{1}{4}(1 - \sin^2 \alpha)$

answered May 25, 2016 at 17:06

3 votes

How do I solve $-\int \frac{dy}{y(ay^2+by+c)^{1/2}}$?

answered Jun 29, 2017 at 19:11

2 votes

how to prove that the following integral is divergent

answered Oct 13, 2016 at 6:37

2 votes

Accepted

Number of solutions with restrictions

answered Jun 15, 2017 at 13:01

2 votes

Let $f(x)$ be an even function. Then for all $N \ge 0$ its Taylor polynomial $p_N (x)$ contains only even powers.

answered Jun 18, 2017 at 8:37

2 votes

Accepted

Trying to see if $f(x,y)=xy+1-\sin\left (\frac{x^2}{2}\right)$ is differentiable at $(1,5)$

answered Jun 1, 2017 at 23:03

2 votes

Accepted

Show that $v$ is also an eigenvector of $A^3-2A+I$ corresponding to the eigenvalue $\lambda^3-2\lambda+1$

answered Mar 27, 2017 at 20:18

1 vote

Prove that $\text{Ker}(T) = \text{Im}(I-T)$ and $\text{Im}(T) = \text{Ker}(I-T)$ if $T=T^2$

answered Mar 6, 2017 at 18:34

1 vote

100th derivative of $e^{-x^2}$ at point $0$

answered May 25, 2016 at 15:25

1 vote

Show that $K_{\epsilon}$ is open. Is it also closed?

answered Nov 22, 2016 at 8:59

1 vote

$r^3-7r+1=0$ why $r$ cannot be rational

answered Jun 4, 2017 at 9:10

1 vote

Is C is basis of vector space V

answered Jun 22, 2017 at 7:49

1 vote

Rational root of the sum of two squares

answered Sep 13, 2016 at 20:11

1 vote

Is a Rubik-Sudoku possible?

answered Sep 21, 2016 at 13:53

1 vote

Why does solving this equation a certain way yield only complex roots instead of real ones?

answered Oct 8, 2016 at 23:25

1 vote

Problem about water and time

answered May 25, 2016 at 18:38

1 vote

Limit of rational function

answered May 25, 2017 at 8:55

0 votes

Accepted

Is it true identification with mathematically?

answered Jul 7, 2017 at 10:57

0 votes

How to prove that for all non-empty sets A, B, $(A \in \mathscr P(S)$ AND $(B \in \mathscr P(S)$) implies $A \cap B \in \mathscr P (S)$

answered Oct 16, 2017 at 20:45

0 votes

Predicate to prove a set is countably infinite

answered Nov 8, 2017 at 12:12

0 votes

Linear independence of a set of $4$ polynomials

answered May 25, 2016 at 19:08

0 votes

Finding linear transformation

answered Jul 5, 2016 at 9:33

0 votes

When is $(p_1 \rightarrow (p_3 \rightarrow (\lnot p_4 \rightarrow p_2)))$ false?

answered Aug 18, 2016 at 13:55

0 votes

Help with $\int \frac{1}{\sqrt{x\cdot(1 - 3\sqrt{x})}}\ \text{d}x$ by substitution.

answered Aug 31, 2016 at 18:59

0 votes

Kernel and image of a linear map

answered May 12, 2016 at 9:28

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44 Answers

Use Trig Identities to solve $\sin x \cos^4 x+\cos^6 x$

How can $\int \frac{2^x3^xdx}{9^x-4^x}$ be found?

is this correct? $\binom{n}{k}=\binom{n}{k-1}-\binom{n-1}{k-1}$?

A combinatorial task I just can't solve

Doubt on evaluation of limits using squeeze theorem /sandwich theorem

Getting $\sin^2$ and $\cos^2$ values from $\sin^2 \alpha = \frac{1}{4} \cos^2 \alpha = \frac{1}{4}(1 - \sin^2 \alpha)$

How do I solve $-\int \frac{dy}{y(ay^2+by+c)^{1/2}}$?

how to prove that the following integral is divergent

Number of solutions with restrictions

Let $f(x)$ be an even function. Then for all $N \ge 0$ its Taylor polynomial $p_N (x)$ contains only even powers.

Trying to see if $f(x,y)=xy+1-\sin\left (\frac{x^2}{2}\right)$ is differentiable at $(1,5)$

Show that $v$ is also an eigenvector of $A^3-2A+I$ corresponding to the eigenvalue $\lambda^3-2\lambda+1$

Prove that $\text{Ker}(T) = \text{Im}(I-T)$ and $\text{Im}(T) = \text{Ker}(I-T)$ if $T=T^2$

100th derivative of $e^{-x^2}$ at point $0$

Show that $K_{\epsilon}$ is open. Is it also closed?

$r^3-7r+1=0$ why $r$ cannot be rational

Is C is basis of vector space V

Rational root of the sum of two squares

Is a Rubik-Sudoku possible?

Why does solving this equation a certain way yield only complex roots instead of real ones?

Problem about water and time

Limit of rational function

Is it true identification with mathematically?

How to prove that for all non-empty sets A, B, $(A \in \mathscr P(S)$ AND $(B \in \mathscr P(S)$) implies $A \cap B \in \mathscr P (S)$

Predicate to prove a set is countably infinite

Linear independence of a set of $4$ polynomials

Finding linear transformation

When is $(p_1 \rightarrow (p_3 \rightarrow (\lnot p_4 \rightarrow p_2)))$ false?

Help with $\int \frac{1}{\sqrt{x\cdot(1 - 3\sqrt{x})}}\ \text{d}x$ by substitution.

Kernel and image of a linear map