1
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
As x is increased from $$- \infty \,\,to\,\infty$$, the function $$f(x) = {{{e^x}} \over {1 + {e^x}}}$$
A
monotonically increases
B
monotonically decreases
C
increases to a maximum value and then decreases
D
decreases to a minimum value and then increases
2
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
The derivative of the symmetric function drawn in Fig .1 will look like
A
B
C
D
3
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
The value of the integral $$\,I = {1 \over {\sqrt {2\,\,\pi } }}\int\limits_0^\infty {\exp \left( { - {{{x^2}} \over 8}} \right)dx}$$ is
A
1
B
$$\pi$$
C
2
D
2$$\pi$$
4
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
Match the following and choose the correct combination.

GROUP 1
E- continuous and aperiodic signal
F- continuous and periodic signal
G- discrete and aperiodic signal
H- discrete and periodic signal

Group 2
1- Fourier representation is continuous and aperiodic
2- Fourier representation is discrete and aperiodic
3- Fourier representation is continuous and periodic
4- Fourier representation is discrete and periodic

A
E -3, F - 2, G - 4, H -1
B
E -1, F - 3, G - 2, H - 4
C
E - 1, F - 2, G - 3, H -4
D
E -2, F - 1, G - 4, H -3
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