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
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 $$J(\theta)=-\frac{1}{...
Published: Sep 06, 2026
Rotate triangle ABC around the origin
How do you get from triangle ABC (blue) to triangle ABC (red) The instructions are to rotate it $270$ degrees I am trying to help a friend but forgot how ...
Published: Sep 06, 2026
What is the opposite of a cross term?
When we multiply out $(x + y)(x + y)$, we refer to the two $xy$ terms as "cross terms". Is there a corresponding term for the $x^2$ and $y^2$ terms?
Published: Sep 06, 2026
What is the difference between a sound argument and a valid argument?
In my notes, these are the definitions of a valid argument An argument form is valid if and only if whenever the premises are all true, then conclusion is...
Published: Sep 06, 2026
How do I write $e^{(-x/2)}$ as a summation?
I am new to power series. I know how to write $e^x$ as a summation, but i do not know how that helps me.
Published: Sep 06, 2026
How to calculate critical value in hypothesis testing?
You wish to test the following claim ($H_a$) at a significance level of alpha=0.10. $H_o: \mu=70.4$ $H_a: \mu<70.4$ You believe the population is norma...
Published: Sep 06, 2026
Elementary product rule for Ito formula
In "Baxter, Rennie" book, there is an explanation of product rule for Ito formula. They apply Ito formula (without any details) to $$\frac{1}{2}((X_t + Y_...
Published: Sep 06, 2026
![Integrate $ \int \sqrt{\frac{x^3-3}{x^{11}}}\ dx$ [closed]](https://track.liberty.io/uploads/integrate-int-sqrt-frac-x-3-3-x-11-dx-closed_720.jpg)
Integrate $ \int \sqrt{\frac{x^3-3}{x^{11}}}\ dx$ [closed]
$$ \int \sqrt{\frac{x^3-3}{x^{11}}}\ dx $$ It seems like substitution could not do it. Is there another way?
Published: Sep 06, 2026
Condition of the mean value theorem
The usual formulation of the mean value theorem in a real analysis course is something like this: Let $f\colon [a,b] \to \mathbb{R}$ be continous on $[a,b...
Published: Sep 06, 2026
