1
GATE ME 2025
MCQ (Single Correct Answer)
+2
-0.67
In the closed interval $[0,3]$, the minimum value of the function $f$ given below is $f(x)=2 x^3-9 x^2+12 x$
2
GATE ME 2024
Numerical
+2
-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 ____
3
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+2
-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
4
GATE ME 2016 Set 1
Numerical
+2
-0
Consider the function $$f\left( x \right) = 2{x^3} - 3{x^2}\,\,$$ in the domain $$\,\left[ { - 1,2} \right].$$ The global minimum of $$f(x)$$ is _________.
Your input ____
Questions Asked from Calculus (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude