Mathematical optimization | Logic puzzles | Recreational mathematics
The jeep problem, desert crossing problem or exploration problem is a mathematics problem in which a jeep must maximize the distance it can travel into a desert with a given quantity of fuel. The jeep can only carry a fixed and limited amount of fuel, but it can leave fuel and collect fuel at fuel dumps anywhere in the desert. The problem first appeared in the 9th-century collection Propositiones ad Acuendos Juvenes (Problems to Sharpen the Young), attributed to Alcuin, with the puzzle being about a travelling camel eating grain. The De viribus quantitatis (c. 1500) of Luca Pacioli also discusses the problem. A modern treatment was given by N. J. Fine in 1947. Variations of the problem are the camel and bananas problem where a merchant must maximize the number of bananas transported to a market using a camel that feeds on the bananas, the travelers across the desert problem where a number of travellers must all reach a destination and can only exchange supplies rather than leaving them, and the cars across the desert problem which again can only exchange their fuel, but where empty cars can be abandoned. This final problem has similarities to the operation of multistage rocket. (Wikipedia).
C49 Example problem solving a system of linear DEs Part 1
Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.
From playlist Differential Equations
How to find the distance a car travels with changing angle
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr
From playlist Evaluate Inverse Trigonometric Functions
GeoGebra Link: https://www.geogebra.org/m/ketkkfuj
From playlist Geometry: Challenge Problems
Bearings and Trigonometry problem solving
Challenging A - A* bearings questions incorporating problem solving, angle facts and trigonometry.
From playlist bearings
C51 Example problem of a system of linear DEs
Example problem solving a system of linear differential equations.
From playlist Differential Equations
How to find the bearing and distance a boat travels using trigonometry
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr
From playlist Evaluate Inverse Trigonometric Functions
Square and Regular Hexagon Action: Challenge Problem
Link: https://www.geogebra.org/m/dxsNFYWQ
From playlist Geometry: Challenge Problems
WWII Vehicles You May Not Have Heard Of [4K] | Combat Machines | Spark
In World War II machines like the tanks, ships, and aircraft received much of the glory, but there was a whole fleet of lesser-known vehicles that made victory in Europe possible. Hear one story of an American GI and his Harley Davidson motorcycle. - This original and wide-ranging 8 part t
From playlist 4K Science Documentaries
The SAS, Britain's premier special forces unit, made some extraordinary raids during WWII, not least the daring attack on a German airfield deep in the Sahara Desert using machine gun armed Jeeps. Watch the thrilling story here. Do please consider supporting my channel on Patreon for just
From playlist Daring Raids
Concave Quadrilateral Craziness! (GoGeometry Action 80)
Link: https://www.geogebra.org/m/T4axJRwY
From playlist Geometry: Challenge Problems
The Greatest War Machines Of The 20th Century [4K] | Combat Machines Compilation | Spark
During World War II, machines became a huge part of combat, whether on land, at sea, or airborne. Watch to find out more about the variety of machines used by the forces, ranging from motorcycles to tanks. --- This original and wide-ranging 8 part thematic series takes you to the heart of
From playlist Combat Machines
Alaska Off-Road Warriors: The Story of Super Jeep (S1, E8) | History
Take a look back at Rich and Carl's victorious off-road adventure in the indomitable Super Jeep in this web exclusive. Subscribe for more Alaska Off-Road Warriors: http://histv.co/SubscribeHistoryYT Check out exclusive Alaska Off-Road Warriors videos and full episodes: http://www.history
From playlist Alaska Off-Road Warriors | History
Precalculus 5.02f - Circular Motion Practice Problem 3
Circular motion practice problem from the Precalculus course by Derek Owens. A Jeep Wrangler has tires with a radius of 19 inches. If the tires are turning at 3 revolutions per second, how fast is the Jeep moving in miles per hour?
From playlist Precalculus Chapter 5 (Selected Videos)
The Most Powerful Land Vehicles | Power: Engineering Energy And Speed | Spark
Colossal networks of roads have reshaped the land, carving paths all over the world. But land going vehicles are not only confined to tarmac. In this episode, we venture from the revolution of the military Jeep to the smart tech driving future promised by the BMW Motorrad, and from the hea
From playlist The Science Of Planes
WORLD WAR 2 ARCHIVE EXPLORATION
Enjoy a deep dive into the Petersen Automotive Museum archive with Laura, Petersen Archivist. This episode is dedicated to artifacts surrounding World War 2. This archive tour will explore everything from ration books to WW2 advertisements for Jeeps and War Bonds. Petersen Publishing start
From playlist Petersen Unboxing
RT8.3. Finite Groups: Projection to Irreducibles
Representation Theory: Having classified irreducibles in terms of characters, we adapt the methods of the finite abelian case to define projection operators onto irreducible types. Techniques include convolution and weighted averages of representations. At the end, we state and prove th
From playlist Representation Theory
Rewind Ep.1 - Science Hoaxes | SciShow Tangents Podcast
Welcome to SciShow Tangents Rewind! Each week, we'll be bringing you an old episode of the show, starting with episode 1. Thrill to the days when we had four hosts, kept score, and all sat in the same room on an actual Science Couch! Whether you're listening through for the first time or r
From playlist SciShow Tangents Rewind
GeoGebra Link: https://www.geogebra.org/m/yvqwqk6h
From playlist Geometry: Challenge Problems
Hibernate Tutorial 16 - CascadeTypes and Other Things
In this tutorial, we'll look at some concepts like CascadeType which can be configured for entity relationships.
From playlist Hibernate
Triangle Median: Challenge Problem
Link: https://www.geogebra.org/m/jESRWymr BGM: Andy Hunter
From playlist Geometry: Challenge Problems