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PYQs on Multivariable Calculus - 1 | Engineering Mathematics

Last Updated: 03 October 2025

In examinations, questions from Multivariable calculus are frequently asked in the form of evaluating double and triple integrals, changing the order of integration, as we...read more

Change of Variables

Last Updated: 03 October 2025

Sometimes, it is hard to solve an integral using the given variables like x and y. So, we change the variables to new ones, like u and v, which makes the integral easier. ...read more

Change of Order of Integration

Last Updated: 30 September 2025

When we evaluate a double integral, we add up the values of a function over a region by integrating one variable first and then the other. Sometimes, the given order of in...read more

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Multiple Integral

Last Updated: 29 September 2025

Integration is a mathematical tool used to calculate areas, volumes, mass, and many other quantities. When a function depends on more than one variable, multiple integrals...read more

Divisibility Rule for 15

Last Updated: 15 September 2025

Divisibility rules are shortcuts or tricks in mathematics that help us quickly check whether a number is divisible by another number without doing the full division.These ...read more

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Number Divisibility

Divisibility Rule for 16

Last Updated: 18 September 2025

Divisibility ruleshelp us quickly determine if a number can be divided evenly by another without performing long division. A number is divisible by 16 if any one of the fo...read more

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Number Divisibility

Successive Differentiation

Last Updated: 12 September 2025

Successive differentiation is the process of differentiating a function repeatedly, as many times as required. The derivatives obtained at each stage are called successiv...read more

Diagonalization of a Matrix

Last Updated: 02 September 2025

The process of converting a square matrix into diagonal form using a similarity transformation is called diagonalization. A matrix A is diagonalizable if there exists an i...read more

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Complex Matrices

Last Updated: 26 August 2025

A complex matrix is made up of complex numbers in the form x + iy, where i = √-1.A complex matrixA∈ Cm×nhas entriesaij = Real(aij) + i⋅Imaginary(aij) A complex matrix is ...read more

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Gauss Elimination Method

Last Updated: 07 August 2025

The Gaussian Elimination Method is a fundamental algorithm in linear algebra used to solve systems of linear equations. By transforming a system into an upper triangular m...read more

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Continuous Probability Distributions

Last Updated: 25 July 2025

In mathematics, we often deal with uncertain or variable outcomes, like how long it will take for a server to respond, or how tall a randomly chosen person might be. These...read more

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Why do we tire lifting heavy objects?

Last Updated: 23 July 2025

Have you ever tried lifting a heavy box and felt your arms start to ache after just a few seconds? Whether you are moving furniture or carrying a backpack full of books, l...read more

Physics-Class-9

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Physics-Concepts

Why does a passenger move outward when the bus turns?

Last Updated: 23 July 2025

Have you ever felt pushed outward when a bus takes a sharp turn? This happens due to inertia—your body wants to keep moving straight while the bus turns. As a result, you ...read more

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Physics-Class-11

Newton’s Third Law and Gun Recoil

Last Updated: 15 July 2025

Recoil refers to the backwards motion of a gun when it fires a bullet. This happens due to Newton’s Third Law — every action has an equal and opposite reaction. As the bul...read more

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Physics-Class-9

Physics-Class-11

How does gravity affect the motion of an object?

Last Updated: 23 July 2025

Gravity is a fundamental force of nature that affects everything with mass. It is responsible for pulling objects toward the Earth and influencing their motion. This force...read more

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Physics-Class-9

Physics-Class-11

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