Grade XII Applied Mathematics Practice Questions Grade XII Applied Mathematics Practice Questions 1. Which equation represents the eigenvalues of the matrix ( begin{bmatrix} 2 & 1 \ 1 & 2 end{bmatrix} )? (lambda^2 – 4lambda + 3 = 0) (lambda^2 – 4lambda + 4 = 0) (lambda^2 – 3lambda + 2 = 0) (lambda – …
Grade XII Applied Mathematics Worksheet Grade XII Applied Mathematics Worksheet 1. The determinant of a 3×3 matrix (A) is 5. What is the determinant of (3A)? 15 45 135 None of the above 2. Find the inverse of the matrix ( begin{bmatrix} 2 & 3 \ 1 & 4 end{bmatrix} ). ( begin{bmatrix} 4 & …
How to Calculate Algorithmic Efficiency of a Program To calculate the algorithmic efficiency of a program, you must consider both its time complexity and space complexity. Here is a step-by-step approach: Determine the Basic Operations: Identify the basic operations of the algorithm. These are the operations that contribute most significantly to the total running time, …
Understanding Algorithmic Efficiency Introduction Algorithmic efficiency refers to how effectively an algorithm performs, particularly regarding time taken to complete and the memory space it requires. It’s often discussed in terms of time complexity and space complexity, which help us to understand an algorithm’s performance with respect to the size of its input data (denoted as …
Python Tutorial: Searching and Sorting Algorithms Introduction In this tutorial, we’ll explore two fundamental algorithms in computer science: searching and sorting. We’ll cover linear search and binary search for finding elements in a list, as well as bubble sort and quicksort for ordering lists. 1. Linear Search Linear search is a straightforward algorithm that inspects …
Basic Trigonometric Integration Questions Integrate: ( int sin(x) , dx ) Integrate: ( int cos(x) , dx ) Integrate: ( int tan(x) , dx ) Integrate: ( int cot(x) , dx ) Integrate: ( int sec(x) , dx ) Integrate: ( int csc(x) , dx ) Integrate: ( int sin^2(x) , dx ) Integrate: ( …
Basic Integration Formulas ( int 0 , dx = C ) ( int 1 , dx = x + C ) ( int x^n , dx = frac{x^{n+1}}{n+1} + C ), where ( n neq -1 ) ( int frac{1}{x} , dx = ln|x| + C ) Trigonometric Functions ( int sin x , dx …
1 Definition and Meaning: Modulo arithmetic deals with the remainder when one number is divided by another. Question: What is the remainder when 15 is divided by 4 ? Answer: 3. 2 Introduction to Modulo Operator: The modulo operator ‘ ‘ gives the remainder of the division of two numbers. Question: What is ‘ ? …
Work, Force and Energy Notes Grade IV Question 1: What is force? Answer: Force is a push or pull applied to an object. Question 2: What can force do to a moving object? Answer: Force can speed it up, slow it down, or changeitsdirection. Question 3:Can forcechange the shape of an object? …
Infate Academy Intern Teacher Opportunities Location: Faridabad, Haryana Stipend: ₹10,000/month + Up to ₹8,000 in variable pay Working Hours: 6 days a week, 4 hours daily (2 PM to 6 PM) Apply by: December 9, 2023 About the Role Teach and inspire students from 6th to 10th grade in Maths and Science. Develop …
