Problems Plus 6: Largest Sphere in a Sphere https://youtu.be/uefSE-rXFw4

In this video I find the largest sphere that passes through a given point while every point inside is also inside a larger sphere.

Problems Plus 5: Infinite Sum of Vector Projections is a Geometric Series https://youtu.be/rKt2qVLCMiM

In this video I find the sum of an infinite series of consecutive magnitudes of vector projections and show it turns out to be just a geometric series.

Problems Plus 4: Plane Flying in Wind https://youtu.be/Up-l6Nt_w08

In this video I calculate the required direction for a plane to fly accounting for the wind velocity such that the ground velocity is due North.

Problems Plus 3: Line and Surface of Two Intersecting Planes https://youtu.be/jj3wYCYhhq8

In this video I determine the symmetric equations of a line at the intersection of two planes. I then find out that when the equations of the plane vary, the line sweeps out a circular hyperboloid of one sheet. Finally, I calculate the volume of this surface between two planes.

Problems Plus 2: Volume Around a Box (and Area Around a Rectangle) https://youtu.be/bNZyuUB0D4w

In this video I determine the volume of a region whose distance is at most 1 from a box. To understand how to solve this, I solve the 2D case first and solve the area around a rectangle.

MES Livestream 57: Electrogravitics with Amaterasu Solar https://youtu.be/9uV3o_XCr9E

Amaterasu Solar joins the show to discuss her father's work with THE flying saucer scientist Thomas Townsend Brown and how their work got classified by the government. She also points out that disclosure of such electro-gravity and free energy technology is the key to finally having a truly peaceful and abundant society.

October 5, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)