GATE ME 2025 | Calculus Question 1 | Engineering Mathematics

GATE ME 2025

MCQ (Single Correct Answer)

-0.67

In the closed interval $[0,3]$, the minimum value of the function $f$ given below is $f(x)=2 x^3-9 x^2+12 x$

GATE ME 2024

Numerical

-0

If the value of the double integral

$\int_{x=3}^{4} \int_{y=1}^{2} \frac{dydx}{(x + y)^2}$

is $\log_e(\frac{a}{24})$, then $a$ is __________ (answer in integer).

Your input ____

GATE ME 2017 Set 1

MCQ (Single Correct Answer)

-0.6

A parametric curve defined by $$x = \cos \left( {{{\pi u} \over 2}} \right),y = \sin \left( {{{\pi u} \over 2}} \right)\,\,$$ in the range $$0 \le u \le 1$$ is rotated about the $$x-$$axis by $$360$$ degrees. Area of the surface generated is

$${\pi \over 2}$$

$$\pi $$

$${2\pi }$$

$${4\pi }$$

GATE ME 2016 Set 3

MCQ (Single Correct Answer)

-0.6

$$\mathop {Lt}\limits_{x \to \infty } \left( {\sqrt {{x^2} + x - 1} - x} \right)$$ is

$$0$$

$$\infty $$

$$1/2$$

$$ - \infty $$

GATE ME Subjects

Browse all chapters by subject

Production Engineering

Metal Cutting Casting Sheet Metal Forming Processes Machining Welding Process Metal Forming Advance Machine Tools Metrology and Inspection

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Fluid Mechanics

Fluid Dynamics Fluid Statics Boundary Layer Turbulent Flow Fluid Properties Laminar Flow Fluid Kinematics

Heat Transfer

Convection Radiation Heat Exchangers Conduction Fin Design and Transient Heat Conduction

Thermodynamics

Rankine Cycle Calculation of Work and Heat Properties of Pure Substances Second Law of Thermodynamics Entropy and Irreversibility Basic Concepts and Zeroth Law First Law of Thermodynamics Availability

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Machine Design

Bolted Riveted and Welded Joints Design For Static Loading Design of Brakes and Clutches Design of Spur Gears Design of Bearings Fatigue Strength

Industrial Engineering

Line Balancing Queuing Forecasting Production Planning and Control Inventory Control Pert and Cpm Scheduling Linear Programming Assignment Transportation

Strength of Materials

Simple Stress and Strain Pure Bending Moment of Inertia Shear Force and Bending Moment Torsion Deflection of Beams Stresses In Beams Springs Complex Stresses Columns and Struts Strain Energy Method Thin Cylinders

Engineering Mathematics

Probability and Statistics Numerical Methods Linear Algebra Transform Theory Vector Calculus Calculus Differential Equations Complex Variable

Theory of Machines

Vibrations Gears and Gear Trains Analysis of Plane Mechanisms Flywheel

Turbo Machinery