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earned this badge 34 times.

Does a Hermitian matrix remain Hermitian when transformed by an orthogonal matrix?

Awarded Sep 21 at 10:16

How do we find the period of the function, $x(t)=1+\cos(2\pi t)$

Awarded Mar 1 at 1:36

How many values of $n<50$ exist that satisfy$ (n-1)! \ne kn$ where n,k are natural numbers?

Awarded Jul 22, 2022 at 20:03

A can complete a project in 20 days and B can complete the same project in 30 days. [closed]

Awarded Dec 3, 2021 at 13:45

Find the value of $x$ in the displayed figure

Awarded May 18, 2021 at 20:41

how to solve, $(x^2-2x+2y^2)dx+2xydy=0$?

Awarded May 5, 2021 at 8:58

express $a\sin(\omega t)$ as a fourier series. Is the solution $f(\omega t)=\frac{1}{2\pi}a$?

Awarded May 2, 2021 at 11:50

Integrating $\int_0^\infty\frac{1}{1+x^6}dx$

Awarded Mar 23, 2021 at 5:51

Integrating $\int \sqrt{(2+\sin{3x})\cos{3x}}{dx}$

Awarded Sep 12, 2020 at 16:22

If $w=f(z)=u+iv$, is analytic in a region R, then does $\frac{dw}{dz}=\frac{\partial w}{\partial x}=-i\frac{\partial w}{\partial y}$ hold?

Awarded May 2, 2020 at 5:12

$g(x)$ is a function such that $g(x+1)+g(x-1)=g(x)$, $x \in \mathbb{R}$. For what value of $p$, $g(x+p)=g(x)$.

Awarded Jan 13, 2020 at 0:10

find the integrating factor for the differential equation, $(xy^2+2x^2y^3)dx+(x^2y-x^3y^2)dy=0$

Awarded May 23, 2019 at 14:30

how can one find the value of the expression, $(1^2+2^2+3^2+\cdots+n^2)$ [duplicate]

Awarded Oct 14, 2018 at 23:55

For a positive integer $n$, $p_n$ denotes the product of the digits of n, and $s_n$ denotes the sum of the digits of n.

Awarded Aug 31, 2018 at 14:40

Is the function $f(z)=xy+iy$ analytic?

Awarded Oct 18, 2017 at 5:33

factorise, $x^3-13x^2+32x+20$

Awarded Jul 27, 2017 at 15:38

How can one prove that $\lim\limits_{\theta\to 0} \frac{\sin\theta}{\theta}=1$ [duplicate]

Awarded Jun 9, 2017 at 14:48

how to solve, $(x^2+y^2+2x)dx+2ydy=0$?

Awarded May 18, 2017 at 5:36

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

Awarded Aug 29, 2016 at 2:23

$\sin(iy)=i\sinh(y)$; what is the value of $i\sin(iz)$?

Awarded Apr 22, 2016 at 10:18

Find the rank of the following matrix.

Awarded Nov 10, 2015 at 8:21

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

Awarded Nov 1, 2015 at 10:53

Prove that, for any set of consecutive integers with an odd number of terms, the sum of the integers is always a multiple of the number of terms.

Awarded Oct 16, 2015 at 12:22

$f(x)=\max(2x+1,3-4x)$, where $x \in \mathbb{R}$. what is the minimum possible value of $f(x)$.

Awarded Oct 10, 2015 at 6:07

What is the residue of $f(z)=\tan{z}$ at any of its pole ? Is the solution correct?

Awarded Aug 6, 2015 at 23:57

If $a$, $a+2$ and $a+4$ are prime numbers then, how can one prove that there is only one solution for $a$? [duplicate]

Awarded Aug 5, 2015 at 11:11

Find non-singular matrices P and Q such that PAQ is in the normal form for the matrix A.

Awarded Jun 17, 2015 at 23:36

Show that the function, $f(z)=e^{y}e^{ix}$ is nowhere analytic.

Awarded Apr 20, 2015 at 15:11

How do we plot $u(4−t)$, where $u(t)$ is a step function?

Awarded Feb 1, 2015 at 8:33

How to determine the step response using convolution of the signal's impulse response?

Awarded Aug 29, 2014 at 19:44

Four lines are drawn on a plane with no two parallel and no three concurrent. Lines are drawn joining the points of intersection of these four lines.

Awarded Jul 14, 2014 at 5:27

What is the probability that a leap year selected at random will contain 53 tuesdays?

Awarded Jun 17, 2014 at 5:37

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

Awarded Mar 9, 2014 at 15:40

Given digits $2,2,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed?

Awarded Jan 12, 2014 at 8:03

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