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)!...

Mahendra cave is a well known tourist attraction in Pokhara, Nepal. It is a naturally occurring limestone cave that dates back millions of years.  This cave was found after following the tigers as they used to eat domestic animals of that area. It is believed to be found in 2012 B.S. The late King Mahendra Bir Bikram Shah Dev, who visited the cave in the 2016 B.S., inspired the name. The cave is just a short drive from the city center and is situated in the northern portion of Pokhara Valley in Batulechaur-16. Visitors can use flashlights to explore the 200-meter-long cave's dimly lit chambers and tunnels. Bindhyabasini Ma. Bi. has been protecting and overseeing Mahendra Cave from 2031 B.S. A 7-year Master Plan for the development of the cave as a tourist destination was started, but it was postponed because of the Covid-19 pandemic. The total plan's budget is 21 crore.  A Children's Park, a Zoo that attempts to conserve the species in and around the Mahendra Cave Jungle ...

Frances Ellen Watkins Harper Very soon the Yankee teachers Came down and set up school; But, oh! how the Rebs did hate it,— It was agin' their rule. Our masters always tried to hide Book learning from our eyes; Knowledge didn't agree with slavery— 'Twould make us all too wise. But some of us would try to steal A little from the book, And put the words together, And learn by hook or crook. I remember Uncle Caldwell, Who took pot-liquor fat And greased the pages of his book, And hid it in his hat. And had his master ever seen The leaves up on his head, He'd have thought them greasy papers, But nothing to be read. And there was Mr. Turner's Ben, Who heard the children spell, And picked the words right up by heart, And learned to read 'em well. Well, the Northern folks kept sending The Yankee teachers down; And they stood right up and helped us, Though Rebs did sneer and frown. And, I longed to read my Bible, ...

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...

The Largest Structure in the Universe that you are referring to is known as the "Sloan Great Wall," and it is a vast supercluster of galaxies located in the constellation Pisces. The supercluster was discovered in 2003 by a team of astronomers using data from the Sloan Digital Sky Survey, and it is thought to be the largest known structure in the universe. The supercluster consists of 830 separate galaxies that are contained within four connected galaxy clusters. It stretches across an estimated distance of 1 billion light years and is thought to contain the mass of about 500 trillion suns. The Sloan Great Wall is so large that it takes light billions of years to traverse it, meaning that we are observing it as it was when the universe was much younger. The discovery of the Sloan Great Wall has provided important insights into the structure and evolution of the universe. Credits: NASA, ESA, Images by Science Photo Library