Ramesh goes to supermarket to purchase soap cartons

Case Study IV:- Ramesh goes to supermarket to purchase soap cartons for his shop. The store has 100 cartons of Moisturizing soap, 150 cartons of Antibacterial soap, 85 cartons of Natural soap and 115 cartons of chemical-free soap. If Ramesh chooses a carton at random, then answer the following questions. (i) The probability that the … Read more

Find the nth differential coefficient of x^3 cos x

Find the nth differential coefficient of  x^3 cos x . This solution employs Leibnitz’s theorem, addressing the application and simplification of the nth derivative. For x^3 cos x , higher-order derivatives of x^3  beyond the fourth will become zero, simplifying the calculations. The detailed solution explores the use of trigonometric identities and combinations to derive … Read more