1
GATE IN 2010
MCQ (Single Correct Answer)
+2
-0.6
The integral $$\int\limits_{ - \alpha }^\alpha \delta \left( {t - {\pi \over 6}} \right)6\,\sin \,\left( t \right)dt$$ evaluates to
A
$$6$$
B
$$3$$
C
$$1.5$$
D
$$0$$
2
GATE IN 2010
MCQ (Single Correct Answer)
+1
-0.3
$$u(t)$$ represents the unit step function. The Laplace transform of $$u\left( {t - \tau } \right)$$ is
A
$${1 \over {s\tau }}$$
B
$${1 \over {s - \tau }}$$
C
$${{{e^{ - s\tau }}} \over s}$$
D
$${e^{ - s\tau }}$$
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