#### High School Math

HighSchoolMath
7 Views · 3 months ago

Field theory is a branch of mathematics that deals with fields, which are collections of objects that can be represented by fields. Fields can be represented by Lie groups, and Lie groups can be represented by algebraic structures. A field is a collection of objects that can be represented by a

HighSchoolMath
94 Views · 3 months ago

We calculate the integral of exp(-x^2) over the real line. This calculation involves a double integral, from which values are calculated using polar coordinates. Added: a numerical estimate, and an added tighter proof with the Squeeze Theorem.

HighSchoolMath
12 Views · 3 months ago

The antiderivative of tan^2(x) is computed.

HighSchoolMath
7 Views · 3 months ago

Let {x_n} be a sequence of real numbers such that |x_n| is less than (3n^2-2)/(4n^3 + n^2 + 3). Then {x_n} is a Cauchy sequence.

HighSchoolMath
14 Views · 3 months ago

A toy rocket is launched from a 10 ft high platform with an initial velocity of 96 ft/sec. If the height is given by the function h(t) = - 16t^2 +96t +10 ft, find the maximum height attained. We complete the square to find

HighSchoolMath
14 Views · 3 months ago

A rectangular box has one corner at the origin and another on the plane x + y + 2z = 1. Use Lagrange multipliers to find the dimensions that maximize volume.

HighSchoolMath
16 Views · 3 months ago

The surface of a right-angle triangle is the sum of the squares of the lengths of the two shorter sides. The surface is also the product of the lengths of the two shorter sides, multiplied by the length of the hypotenuse.

HighSchoolMath
13 Views · 3 months ago

We revisited the Binet formula for the Fibonacci numbers as an application of generating functions. This derivation requires no linear algebra, only power series methods.

HighSchoolMath
5 Views · 3 months ago

Not quite a typo at 4:45: for the V function, we have V(I n J)=V(I) u V(J). The vanishing points are unchanged if we replace V(I n J) with V(IJ), but if you get into the scheme game

HighSchoolMath
54 Views · 3 months ago

This video tutorial will show you how to revise GCSE Maths in a step by step manner. You will learn how to use the resources provided and improve your skills.

HighSchoolMath
32 Views · 3 months ago

This video tutorial covers the basics of GCSE Maths revision. You will learn how to revise maths using the resources available here.

HighSchoolMath
44 Views · 3 months ago

For the full list of videos and more revision resources visit https://www.mathsgenie.co.uk/

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