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 $f(x)=2 x^3-9 x^2+12 x$

A
0
B
4
C
5
D
9
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
A
$${\pi \over 2}$$
B
$$\pi $$
C
$${2\pi }$$
D
$${4\pi }$$
4
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
$$\mathop {Lt}\limits_{x \to \infty } \left( {\sqrt {{x^2} + x - 1} - x} \right)$$ is
A
$$0$$
B
$$\infty $$
C
$$1/2$$
D
$$ - \infty $$
GATE ME Subjects
Turbo Machinery
EXAM MAP