User Taladris

30 votes

Accepted

Integrate functions from point 'a' to point 'a' proof

answered May 8, 2017 at 9:00

27 votes

Accepted

Solve this equation: $3^{3x} - 3^x = (3x)!$

answered Jul 14, 2021 at 10:46

18 votes

Finding the tenth derivative of $f(x) = e^x\sin x$ at $x=0$

answered Jan 18, 2019 at 2:09

16 votes

How to show that no. of elements $x$ of group $G$ such that $x^3=e$ is odd?

answered Jun 22, 2014 at 5:41

16 votes

What percentage of a population that has survived one standard deviation will survive two?

answered Mar 15, 2022 at 2:15

11 votes

Is there an interval notation for complex numbers?

answered Aug 17, 2014 at 6:56

11 votes

The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer

answered Aug 23, 2014 at 5:17

10 votes

Accepted

What does $\bigcup\mathcal{P}A = A$ mean in English?

answered Nov 1, 2015 at 9:26

10 votes

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If a function's domain is an empty set, how can its derivative still exist graphically?

answered Apr 21 at 11:01

8 votes

Are there any "nonstandard" special angles for which trig functions yield radical expressions?

answered Mar 18, 2018 at 16:52

7 votes

The set of all invertible upper triangular matrices is open or not?

answered Jan 21, 2018 at 13:59

7 votes

Proof by induction on Fibonacci numbers: show that $f_n\mid f_{2n}$

answered Feb 22, 2015 at 7:29

7 votes

To which degree must I rotate a parabola for it to be no longer the graph of a function?

answered Jul 14, 2022 at 19:06

6 votes

Show polynomial function is infinitely differentialble

answered May 28, 2014 at 7:25

6 votes

When working proof exercises from a textbook with no solutions manual, how do you know when your proof is sound/acceptable?

answered May 20, 2014 at 5:08

6 votes

How to take the square root of a dual number ($\sqrt{a + b \cdot \varepsilon}$ with $a, ~b \in \mathbb{R}$ and $\varepsilon^{2} = 0$)?

answered Oct 28, 2022 at 2:43

5 votes

A Horrible looking limit

answered Apr 22, 2014 at 15:33

5 votes

Limits paradox in case of sine function

answered Jun 1, 2014 at 15:46

5 votes

Accepted

$(1-x)^y ≈ e^{-xy}$

answered Jun 12, 2014 at 13:33

5 votes

When does injectivity imply surjectivity?

answered Jun 22, 2014 at 6:06

5 votes

Accepted

write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$

answered Nov 4, 2013 at 1:31

5 votes

Show that the sum of 2n + 1 consecutive integers is divisible by 2n + 1.

answered Apr 4, 2013 at 3:51

5 votes

Accepted

What kind of definitions need be introduced in a PhD thesis?

answered Nov 28, 2014 at 1:45

5 votes

Accepted

Difference between two solution of inhomogeneous linear equation

answered Aug 28, 2015 at 3:29

5 votes

Accepted

Inverse function of $f(x)=x^{2019}+x$

answered Mar 9, 2020 at 11:35

5 votes

Accepted

If $g∘f$ is a homemorphism, then $g$ one-one (or $f$ onto) implies that $f$ and $g$ are homeomorphisms.

answered Oct 18, 2022 at 0:44

5 votes

Accepted

Understanding The Fundamental Theorem of Calculus, Part 2

answered Dec 11, 2022 at 2:44

5 votes

What are the solutions for a square root of $(9-6x+x^2)$

answered Mar 23 at 8:25

5 votes

evaluate the limit when x goes to infinity

answered Nov 11 at 9:44

4 votes

Accepted

If limit of $f$ is $L$ and limit of $g$ is $M$, then limit of $g$ composed $f$ is $M$?

answered Nov 9, 2018 at 1:07

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252 Answers

Integrate functions from point 'a' to point 'a' proof

Solve this equation: $3^{3x} - 3^x = (3x)!$

Finding the tenth derivative of $f(x) = e^x\sin x$ at $x=0$

How to show that no. of elements $x$ of group $G$ such that $x^3=e$ is odd?

What percentage of a population that has survived one standard deviation will survive two?

Is there an interval notation for complex numbers?

The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer

What does $\bigcup\mathcal{P}A = A$ mean in English?

If a function's domain is an empty set, how can its derivative still exist graphically?

Are there any "nonstandard" special angles for which trig functions yield radical expressions?

The set of all invertible upper triangular matrices is open or not?

Proof by induction on Fibonacci numbers: show that $f_n\mid f_{2n}$

To which degree must I rotate a parabola for it to be no longer the graph of a function?

Show polynomial function is infinitely differentialble

When working proof exercises from a textbook with no solutions manual, how do you know when your proof is sound/acceptable?

How to take the square root of a dual number ($\sqrt{a + b \cdot \varepsilon}$ with $a, ~b \in \mathbb{R}$ and $\varepsilon^{2} = 0$)?

A Horrible looking limit

Limits paradox in case of sine function

$(1-x)^y ≈ e^{-xy}$

When does injectivity imply surjectivity?

write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$

Show that the sum of 2n + 1 consecutive integers is divisible by 2n + 1.

What kind of definitions need be introduced in a PhD thesis?

Difference between two solution of inhomogeneous linear equation

Inverse function of $f(x)=x^{2019}+x$

If $g∘f$ is a homemorphism, then $g$ one-one (or $f$ onto) implies that $f$ and $g$ are homeomorphisms.

Understanding The Fundamental Theorem of Calculus, Part 2

What are the solutions for a square root of $(9-6x+x^2)$

evaluate the limit when x goes to infinity

If limit of $f$ is $L$ and limit of $g$ is $M$, then limit of $g$ composed $f$ is $M$?