1
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 ____
2
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
$$1+$$ $${e^{ - 1}}$$
3
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
A function $$y = 5{x^2} + 10x\,\,$$ is defined over an open interval $$x=(1,2).$$ At least at one point in this interval, $${{dy} \over {dx}}$$ is exactly
A
$$20$$
B
$$25$$
C
$$30$$
D
$$35$$
4
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
Roots of the algebraic equation $${x^3} + {x^2} + x + 1 = 0$$ are
A
$$(1,j,-j)$$
B
$$(1, -1, 1)$$
C
$$(0,0,0)$$
D
$$(-1,j.-j)$$
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