Arif Solves It - Physics and Math
Arif Solves It - Physics and Math
  • Видео 32
  • Просмотров 125 005
TRIGONOMETRY solves a CUBIC Equation
In this video, @ArifSolvesIt presents an example on how trigonometry is used to solve cubic equations with real roots.
A comprehensive study which includes the formal derivation of the cubic formula, its applications, and the trigonometric substitution method, together with a brief overview of complex algebra (hence complex algebra is essential to manipulate the cubic formula) can be downloaded at the following link:
www.patreon.com/ARIFSOLVESIT/shop/how-to-solve-cubic-equations-8246
Should you choose not to support me on Patreon to download this study, please no worries! I will post a series of videos on RUclips detailing everything presented in this published study.
Problem: Find the num...
Просмотров: 898

Видео

First Order Differential Equation solved by using Phase Portrait
Просмотров 15 тыс.Год назад
Phase portraits (or phase diagrams) provide a graphical and a very effective way to visualize first order differential equations given in the form dx/dt = f(x) where the first derivative of the function x with respect to its argument is written as a function of x. In questions where the limiting behavior of x(t) is asked when the argument tends to infinity, the phase portrait approach presents ...
RLC Circuits Short Course (Section 2: RLC circuits with DC Source)
Просмотров 61Год назад
This short course is designed as the continuation of the basic Electricity and Magnetism class taught in AP Physics C and/or College 1 Physics classes. In this short course, the mathematical framework for RLC Circuits is constructed both for DC powered and also for AC powered circuits. The initial and final (steady) state behaviors of capacitors and inductors in those type of circuits are also ...
Small Oscillation of a Rolling Object attached to a Spring (AP / College Physics)
Просмотров 10 тыс.Год назад
In this video, we study the small harmonic oscillation of a rolling object attached to a spring in the horizontal direction. For those who are not familiar with the rolling motion, below videos are available: Rolling Motion Explained: ruclips.net/video/22rZINug-CU/видео.html Rolling Motion with Slipping: ruclips.net/video/889ntG9i_3E/видео.html Work Done on a Rolling Object: ruclips.net/video/x...
Linear Collision of particles problem (AP Physics and College 1 Physics students will love it.)
Просмотров 13 тыс.Год назад
Students whoa are taking AP Physics and College Physics classes should definitely watch this video so as to get a better understanding of the Physical concepts, where here @ArifSolvesIt discusses the conservation of linear momentum and the Center of Mass topics. The problem in this video emphasizes how important it is to choose an appropriate system and to have a good grasp of the physical conc...
ARIF's Golden Eggs
Просмотров 903Год назад
Egg shapes can be created by using mathematical functions. The ratio of the height and the width of these eggs can also be related to the Golden Ratio (ø=1.618). Then, we can call them Golden Eggs. @ArifSolvesIt proposed a function which creates EGG Shapes. That's what is presented in this video. Thus, these eggs are called as ARIF's GOLDEN EGGS. This function includes a control parameter which...
Convolution Theorem (Laplace Transform)
Просмотров 1,1 тыс.Год назад
Convolution Theorem is a very powerful tool used by mathematicians, physicists, and engineers to solve various problems which involve differential equations, Laplace Transforms, Fourier Transforms, etc. In case you do not know anything about the Laplace Transform, please watch this video first: ruclips.net/video/L2CUoINr-uo/видео.html The convolution of two functions can be defined mathematical...
Circular Motion Explained
Просмотров 10 тыс.Год назад
Circular Motion in Physics is one of the topics that students struggle greatly. Even if they study Kinematics topics which include 1D motions and the projectile motion (2D motion) prior to the circular motion, the concept of rotation seems quite different. In addition, the introduction of the new definitions (angular quantities), and the presence of the component of acceleration perpendicular t...
RLC Circuits ShortCourse (Section1: RL and RC circuits with DC Source)
Просмотров 100Год назад
This short course is designed as the continuation of the basic Electricity and Magnetism class taught in AP Physics C and/or College 1 Physics classes. In this short course, the mathematical framework for RLC Circuits is constructed both for DC powered and also for AC powered circuits. The initial and final (steady) state behaviors of capacitors and inductors in those type of circuits are also ...
Phase Diagrams in 1D Kinematics
Просмотров 39 тыс.Год назад
The kinematics equations of motion for a one dimension physical system is simply written in terms of the time derivatives of the position. Then, using integral calculus the time dependence of the position can be solved. However, in certain cases, the acceleration of a system may be given as a function of position. In this case, the phase diagrams which present the relation between velocity and ...
Integral Question asked at MIT 2023 Integration Bee Finals
Просмотров 8 тыс.Год назад
Integral Question asked at MIT 2023 Integration Bee Finals
An integral solved by Residue Theorem
Просмотров 9 тыс.Год назад
An integral solved by Residue Theorem
PI DAY 2023 (Trigonometry Question with an OVERKILL)
Просмотров 2 тыс.Год назад
PI DAY 2023 (Trigonometry Question with an OVERKILL)
Area of an Ellipse found by using Polar Coordinates
Просмотров 1,8 тыс.Год назад
Area of an Ellipse found by using Polar Coordinates
Tangent Half Angle Substitution
Просмотров 284Год назад
Tangent Half Angle Substitution
Mathematical Induction (5 sample Questions)
Просмотров 133Год назад
Mathematical Induction (5 sample Questions)
3 Questions on Inverse Trigonometric Functions | arctan(x) + arccot(x) = π/2
Просмотров 90Год назад
3 Questions on Inverse Trigonometric Functions | arctan(x) arccot(x) = π/2
An Overdamped Mechanical System problem solved by Laplace Transform method
Просмотров 214Год назад
An Overdamped Mechanical System problem solved by Laplace Transform method
How to add numbers? (sum of n natural numbers, sum of their squares, sum of their cubes)
Просмотров 76Год назад
How to add numbers? (sum of n natural numbers, sum of their squares, sum of their cubes)
Laplace Transform (Introduction for Physics and Engineering students)
Просмотров 10 тыс.Год назад
Laplace Transform (Introduction for Physics and Engineering students)
A DC powered RCL (a.k.a. RLC) CIRCUIT is solved using Laplace Transform
Просмотров 440Год назад
A DC powered RCL (a.k.a. RLC) CIRCUIT is solved using Laplace Transform
Are there any real roots of the quartic polynomial p(x)=x^4+x^3+x^2+x+1?
Просмотров 88Год назад
Are there any real roots of the quartic polynomial p(x)=x^4 x^3 x^2 x 1?
Work done on a Rolling Object (no slipping case)
Просмотров 105Год назад
Work done on a Rolling Object (no slipping case)
Rolling Motion with Slipping!
Просмотров 62Год назад
Rolling Motion with Slipping!
How to add two unit vectors to get another unit vector ? (solved by using 3 different methods)
Просмотров 95Год назад
How to add two unit vectors to get another unit vector ? (solved by using 3 different methods)
Rolling Motion Explained (with an emphasis on Slipping and Skidding cases)
Просмотров 151Год назад
Rolling Motion Explained (with an emphasis on Slipping and Skidding cases)
5 questions on Inverse Trigonometric Functions
Просмотров 90Год назад
5 questions on Inverse Trigonometric Functions