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solve surface integral of a scalar function using divergence theorem

Use the Divergence Theorem to evaluate: $$\iint_S (2x+2y+z^2) dS$$ where $S$ is the sphere $$x^2+y^2+z^2=1.$$ Most of the examples on the book that needs ...

Published: Sep 06, 2026

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How can i find the basis solutions of homogeneous linear ODE?

Second order linear differential equation is given below. $y''+\frac{2}{x}y'+k^2y=0,$ where $k$ is constant and $x\neq 0$ I already know th...

Published: Sep 06, 2026

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Laplace Transform for Solving Differential Equation

I solved the following task, but since I am new in this field I need to check if it is correct or if there is anything I am missing or doing wrong. Task :...

Published: Sep 06, 2026

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User Allen Knutson - Mathematics Stack Exchange

Q&A for people studying math at any level and professionals in related fields

Published: Sep 06, 2026

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Finding value of k for which fg(x)=k has equal roots?

I've been going through this community and I Find this really helpful. About me(I know I should be precise but ya), I'm just a highschool studen...

Published: Sep 06, 2026

updates

How do I graph (-2,30) on a polar grid? [closed]

I tried to graph the point $(-2,30)$ on a polar graph and I think I got it wrong, how should it be graphed?

Published: Sep 06, 2026

general

Number of lines to connect $n \times n$ dots

The following is a popular riddle: Draw a $3 \times 3$ grid, and connect all the dots using only $4$ straight consecutive lines. The solution is to think ...

Published: Sep 06, 2026

general

Uniqueness of hamiltonian cycle

Let G be a graph on $n$ vertices, where $n \geq 8$ and with minimum degree at least $n/2$. Does $G$ have at least 2 distinct Hamilton cycles? (Two Hamilto...

Published: Sep 06, 2026

news

Solution of tanx = x?

How do I find the solutions of tanx = x upto any number of decimals? (Of course, there is the graphical method but it just helps in finding the approximat...

Published: Sep 06, 2026

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derivative of cost function for Logistic Regression

I am going over the lectures on Machine Learning at Coursera. I am struggling with the following. How can the partial derivative of $$J(\theta)=-\frac{1}{...

Published: Sep 06, 2026