Sujit Prasad Kushwaha

This is the mathematics formulae book for class 12 students. Here, we have covered all the formulae needed to solve the questions of Mathematics. Permutation The total arrangement of total objects taken some or all at a time is called permutation. The permutation of 'n' objects taken 'r' at a time is denoted by $^np_{r}$ and is defined by; 1. $^np_{r}=\frac{n!}{(n-r)!}$ 2. Permutation of an object, all different;$$=\frac{n!}{p!\,q!\,r!}$$ where,  n=total objects p=repetition of first kind  q=repetition of second kind r=repetition of third kind 3. Circular permutation= $(n-1)!$ 4. If clockwise and anticlockwise arrangement are not distinguishable [necklace of beads and beads into bracelet]; Total number of permutation=$\frac{(n-1)!}{2}$ Combination The selection of total objects taken some or all at a time is called combination. The combination of 'n objects taken 'r' at a time is denoted by $^nc_{r} \, or \, c(n,r)$ and defined by; $$^nc_{r}=\frac{n!}{(n-r)!...

Disinformation is when false or misleading information is spread on purpose to trick or confuse people. It is like someone telling a lie or making up stories to make others believe something that isn't true. Disinformation can be found in many places, like social media, news articles, or even on online videos. Sometimes, people create disinformation to make others think a certain way or to cause trouble to others.  It's important to be careful and not believe everything we see or hear. We should always try to verify information from reliable sources before accepting it as true. A critical thinker will always ask the questions in different way to verify whether the information is true or false. The questioning technique used by them are, they ask why, what, who, where, when, and how. They inquiry the information from different perspectives. In the recent days, with the advancement in information, the case of disinformation is increasing rapidly. Let's see an example where Sa...

                                                                  New Syllabus Course Title: Scientific Communication                                                                   Full Marks:50 Course No: SC 101                                                   ...

Course Objectives At the end of this course the student should be able to acquire sufficient basic knowledge in physic and apply this knowledge for higher studies and research in physics MECHANICS [50] Course Contents:  1. Review of Laws of Motion:  1.1 Dynamics of a particle, General equations of motion, Types of forces, Conservation laws, Work-Energy theorem, Conservative forces, 1.2 Motion of a body near the surface of the earth, Linear restoring force, Potential energy curve, Non-conservative forces. [3 hours]  2. Linear and Angular Momentum:  2.1 Conservation of linear momentum, Centre of mass, Collision of two particles, 2.2 Deflection of a moving particle by a particle at rest, Rocket, Angular momentum and torque, 2.3 Motion under central force, Areal velocity, 2.4 Examples of conservation of angular momentum. [5 hours]  3. Gravitational Potentials and Fields:  3.1 Central Forces, Inverse square-law of force, 3.2 Gravitational field and poten...

Welcome to www.sujitpk.com.np , your premier online hub for accessing top-notch calculus notes! Whether you're a student grappling with derivatives and integrals, a math enthusiast looking to expand your knowledge, or a professional in need of a calculus refresher, this website is the ultimate resource for you. Explore a vast collection of meticulously prepared calculus notes covering topics such as limits, differentiation, integration, and more. With a simple click, you can download these comprehensive notes and embark on a journey towards mastering calculus. Calculus Download Calculus Notes for BSC First Year in PDF format. Chapter 1: Tangents and Normals Tangents and Normals Chapter 2: Higher Order Derivatives and Mean Value Theorems Higher Order Derivatives Mean Value Theorems Chapter 3: Application of Derivatives Indeterminant Forms Asymptotes Tracing of Curves Curvature Chapter 4: Partial Differentiations and Maxima and Minim...