I need to find a minima and maxima of a function z = x^2 - 12x + y^2 - 2y that is limited by points A(-7;-5); B(5;-5) and C(5;10) but i do not clearly understand the algorithm >&lt …

[closed] Your task is to carefully present this solution in the context of a detailed explanation of your work...

sam is 22.If the amount that he invests is constant and if Sam wants his account to be worth $1,000,000 when he is 69 years old, how much should he invest each week? Assume that th …

Lets define new differintegral formula as $$\mathbb{D}^s_xf(x)= \sum_{m=0}^{\infty} \binom {s}m \sum_{k=0}^m\binom mk(-1)^{m-k}f^{(k)}(x)$$ or, equivalently, $$\mathbb{D}^s_xf(x …

1) iF $f(x) = x^2 +x$, find the taylor series for f centered at a = 2. 2)what is the sum from 1 to infinity of $(.95)^n$ I got these questions wrong on my last test, and I'm not …

Mamikon's visual calculus (see Mamikon, Tom Apostol, Wikipedia) is a very beautiful and surprisingly efficient tool. The basis is Mamikon's theorem. The area of a tangent swee …

Hi, I have trouble to compute the derivative in $V$ of: $ \frac{VQ}{\|VQ\|_2^2} $ where $V\in\mathbf{R}^{1,q}$ and $Q\in\mathbf{R}^{q,m}$

Let $u(x)$ be a smooth function from $\mathbb{R}$ to $\mathbb{R}$. Suppose that for some real numbers $a,b$ with $a < b$ the following equality is true: \begin{equation} \frac …

Let $f$ be a bounded function on a close interval, $[0,1]$ e.g.. Can it be everywhere discontinuous and integrable? Thanks! P.S. It isn't a homework for me and I asked this quest …

This question does NOT concern the RIGOR, or lack thereof, of the early calculus. Rather the question is of its CONSISTENCY. George Berkeley wrote in 1734 with reference to the e …

Dirac writes down the following formula on page 61 of his "Principles of quantum mechanics": $\frac{d}{dx}\log x = \frac{1}{x} -i\pi\delta(x)$, see http://adsabs.harvard.edu/abs/19 …

Consider the following gaussian denisity over $\mathbb{R}^{2^n}$ $$p_n(\underline{x}):=\frac{\exp(-\frac{1}{2n} < C_n^{-1}\underline{x},\underline{x} >)}{\sqrt{(2\pi n)^{2^n} \d …

Suppose we have a initial segment $x_1,\ldots,x_N$ (for reasonably large $N$) of a sequence of natural numbers $(x_i)$. We have reason to believe the generating function $\sum_{i=0 …

Hi, For a given $\theta < 1$, and $N$ a positive integer, I am trying to find an $x > 0$ (preferably the smallest such $x$) such that the following inequality holds: $$\sum_{k …

Some aspects of Euler's work were formalized in terms of modern infinitesimal theories by Laugwitz, McKinzie, Tuckey, and others. Referring to the latter, G. Ferraro claims that "o …