Prove Taylor expansion with mean value theorem
http://vapour-trail.blogspot.com/2006/03/brief-explanation-of-taylor-series-via.html provides an intuitive derivation of Taylor expansions from the mean v...
Published: Sep 06, 2026
How to find the exact value of the cosine of 50 degree angle
I want to know the exact value of $\cos 50^\circ$. Actually I have already tried lot of times to solve but I cannot find the exact value of $\cos 50^\circ$.
Published: Sep 06, 2026
Calculating the coordinates of end terminal point of an arc from known r, arc in radyan and starting terminal point coordinates of the arc.
I have searched the site and found similar questions of mine but not exaclty I needed. I have an arc. I know the coordinates of the arc center (P0), r (ra...
Published: Sep 06, 2026
More comprehensive General Topology's book than Engelking
Other than Engelking General Topology, I also come across other graduate general topology text such as Dugundji and Kelley, which I also find them interes...
Published: Sep 06, 2026
Solve for $X$ in matrix equation
How can I solve for $X$ in this matrix equation? $$\begin{bmatrix}-3&-8\\-9&5\end{bmatrix} X + \begin{bmatrix}4&-7\\3&-2\end{bmatrix} = \b...
Published: Sep 06, 2026
Why is this answer wrong? (point of intersection between parabola and line)
Question: Use the discriminant to determine the number of points of intersection of the line $y=3x+5$ and the quadratic functions $f(x)=3x^2-2x-4$. Solve ...
Published: Sep 06, 2026
How to solve 5x5 grid with 16 diagonals?
I have a grid 5x5 and I have to fill 16 little squares with a diagonal Rules You cannot place more than 1 diagonal in each square The diagonals cannot tou...
Published: Sep 06, 2026
how to calculate the transformation matrix if the coordinate system translates and rotates?
I was trying to calculate the new coordinates of the 4 corners of the rectangle in the image, but I think I only formed the rotation matrix. what is the c...
Published: Sep 06, 2026
Solutions manual for Analysis On Manifolds
A few months ago,I wanted to learn something fundmental about manifolds. From highly recommend , I decided to choice Analysis on Manifolds by James R.Munk...
Published: Sep 06, 2026
Properties of a non-invertible square matrix?
I am wondering what properties does $A$, an $n\times n$ non invertible matrix, have. An obvious one is $\det(A)=0$ But, I am not sure about other intuitio...
Published: Sep 06, 2026
