1
GATE EE 2016 Set 1
Numerical
+1
-0
The maximum value attained by the function $$f(x)=x(x-1) (x-2)$$ in the interval $$\left[ {1,2} \right]$$ is _________.
Your input ____
2
GATE EE 2014 Set 3
Numerical
+1
-0
A particle, starting from origin at $$t=0$$ $$s,$$ is traveling along $$x$$-axis with velocity $$v = {\pi \over 2}\cos \left( {{\pi \over 2}t} \right)m/s$$
At $$t=3$$ $$s,$$ the difference between the distance covered by the particle and the magnitude of displacement from the origin is _________.
Your input ____
3
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Minimum of the real valued function $$f\left( x \right) = {\left( {x - 1} \right)^{2/3}}$$ occurs at $$x$$ equal to
A
$$ - \infty $$
B
$$0$$
C
$$1$$
D
$$\infty $$
4
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $$f\left( x \right) = x{e^{ - x}}.$$ The maximum value of the function in the interval $$\left( {0,\infty } \right)$$ is
A
$${e^{ - 1}}$$
B
$$e$$
C
$$1 -$$ $${e^{ - 1}}$$
D
$$1+$$ $${e^{ - 1}}$$
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