Engineering Mathematics – Important Solved Problems (Step by Step)

TITLE:
Engineering Mathematics – Important Solved Problems (Step by Step)

SUBJECT:
Engineering Mathematics

COURSE:
Diploma / BE / BTech Engineering

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DESCRIPTION:
This document contains important solved problems from Engineering
Mathematics. Each problem is explained step by step in simple language.
Includes a formula sheet for quick revision. Useful for exams,
assignments, and last-minute preparation.

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CONTENTS:

PROBLEM 1: Differentiation
Differentiate y = 5x³ − 4x + 7

Solution:
dy/dx = 15x² − 4

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PROBLEM 2: Integration
Evaluate ∫ (6x²) dx

Solution:
∫ (6x²) dx = 2x³ + C

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PROBLEM 3: Simple Linear Equation
Solve: 3x − 9 = 0

Solution:
3x = 9
x=3

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PROBLEM 4: Matrix Addition
Given:
A = [2 1]
[3 4]

B = [1 5]
[6 2]