I have a perplexity about the representations of the group of 3D rotations $SO(3)$. I'm reading the following text which is describing the irreducibl...

How can I get the numbers from (0-30) by using the number $2$ four times.Use any common mathematical function and the (+,-,*,/,^) I tried to solve this pu...

I want to find ln(0.2) accurate to 0.001. I get ln(1+(-0.8)) to solve the question. When I find the remainder I get the below one. So I should find n for ...

If $X$ is a diagonally dominant matrix and if $Y$ is a diagonal matrix with the diagonal elements of $X$, then how can one show that $ Y^{-1}(Y - X)$ has ...

I want to find Laplace transform of $\sin(at)$ by definition $$\displaystyle \mathcal L \left\{{\sin at}\right\} = \int_0^{\to +\infty}e^{-st}\sin at \, \...

$$2x^3 + 9x^2 +7x -6$$ This equation doesn't factor by grouping, and other than that I have no idea how to solve this problem. Will someone please help?

When I was in primary school a teacher showed us the following exercise in arithmetic. Take any 3 digit number between 201 and 998 provided that the hundr...

I am asked to simplify $$J=\ln (x^2-16)-\ln x-\ln(x-4), \quad x>4$$ Since each logarithm's argument is non-negative, I can use $$\ln x -\ln y=\ln\...

I'm comfortable with fractions like $\frac{-3}{8}$ being the same as $\frac{3}{-8}$ (though I'd think the latter anachronistic and would in any ...

The cone $z=\sqrt{x^2+y^2}$ and the plane $z=1+y$ I parameterized the plane and put it into vector form: $t=1+y \to y=t-1$ $z= 1+t-1 \to z = t$ $y= t-1$, ...