Algebraic Geometry

I need help calculating the surface area of a cylinder with a rectangular slit cut through one end.Approximate measurementsLength of cylinder is 10mm,diameter= 6mmheight of slit: 2.5mmwidth of slit=1....

The thing is: I really don't like not being able to use only one formula to deduct a monthly compound interest with and addition of ×$ every month.Usually, I would be solving it by using the interest...

If we know the x, y and z coordinates of n non-coplanar points on the surface of an ellipsoid, I would like a formula to calculate three radii of the ellipsoid (a, b and c), therefore determining a, b...

Determining the radius of a unique 2D inscribed circle from three points in space is possible, as is calculating the circumradius of a sphere from a four points (tetrahedral pyramid) without knowing i...

The figure below (see attachments) is composed of three squares. Two of the squares are the same size. The circumference of the whole figure is 12. Find an expression for the total area of the figure...

Problem: (Definition) An affine algebraic group $G$ is an affine algebraic variety (in $\mathbb {A}^n_k$, for a given $n\in \mathbb {N}$) with group structure, such that the multiplication and the inv...

i) Show that the Zariski topology on $Spec(k[x,y])$ is NOT the product of the Zariski topologies on $Spec(k[x])\times Spec(k[y])$ (unlike the metric topology, in wich the product of the topologies is...