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I'm trying to work through exercise 13E, part (4) of S. Willard's Topology through self-study. I'm scratching my head on the question below. I paraphrased of some notation...
Asked on 02/19/2021
1 answerHow to find the solution $y(t)$ of the following ODE provided that:$y(t)$ has a strictly positive value at time $t=0$$mu(t)$, $alpha(t)$ and $sigma(t)$...
Asked on 02/19/2021 by BenG73
1 answerIs there a closed-form solution forbegin{align}sum_{i=1}^n a_i cos(wt_i + phi)end{align} We can recursively use: $acos(x) + bsin(x)$ as $R cos(x − α)$ where ...
Asked on 02/19/2021 by shani
0 answerIn the study of statistics, a given family of probability densities depending smoothly upon a parameter $theta$ can be expressed in the form $p(x,theta)=expleft[c(x)+sum_{r}theta^{r}S_{r}(x)-psi(theta)right],$ where the variable ...
Asked on 02/18/2021 by Vinicius Holmes
0 answerI am self-learning Real Analysis from Understanding Analysis by Stephen Abbott. I am finding it difficult to come up with a proof for the Alternating Series Test for an infinite...
Asked on 02/18/2021 by Quasar
2 answerLet $R$ be a commutative ring so that $Hom_R(P, P)$ has a left $R$-module structure. Then show $Hom_R(P,P)$ is projective if $P$ is finitely generated...
Asked on 02/18/2021 by iefjkfdhfure
2 answerHow to compute for the nth item from a range of code? The code 000A can go up to ZZZZ. The rule of the 4 characters is that is starts...
Asked on 02/18/2021 by MarkBoGum
0 answerFor the first curve, the slope of the tangent is $3$ Let the circle be $x^2+y^2+2gx+2fy+c=0$ Then$$frac{2+g}{2+f} =-3$$$$g+3f+8=0$$ Also the equation of tangent to...
Asked on 02/18/2021
1 answerAccording to the answers in my book e = 4 and b = -2, I am unsure about e, but for b I would have assumed it to be -1....
Asked on 02/18/2021 by Outsider
2 answerI'm asked if the matrices $begin{pmatrix}1 & 1\1 & -1end{pmatrix}$,$begin{pmatrix}0 & 2\3 & 0end{pmatrix}$, $begin{pmatrix}2 & 1\-3 &...
Asked on 02/18/2021 by Future Math person
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