1
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The integral $$\oint {f(z)dz} $$ evaluated around the unit circle on the complex plane for $$f(z) = {{\cos z} \over z}$$ is
A
$$2\pi i$$
B
$$4\pi i$$
C
$$-2\pi i$$
D
0
2
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
Given that $$\mathop x\limits^{ \bullet \bullet } + 3x = 0$$ and $$x\left( 0 \right) = 1,\,\,\mathop x\limits^ \bullet \left( 0 \right) = 1,$$ What is $$x(1)$$ ________.
A
$$-0.99$$
B
$$-0.16$$
C
$$0.41$$
D
$$0.99$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
It is given that $$y'' + 2y' + y = 0,\,\,\,\,y\left( 0 \right) = 0,y\left( 1 \right) = 0.$$ What is $$y(0.5)$$?
A
$$0$$
B
$$0.37$$
C
$$0.62$$
D
$$1.13$$
4
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
A coin is tossed $$4$$ times. What is the probability of getting heads exactly $$3$$ times?
A
$$1/4$$
B
$$3/8$$
C
$$1/2$$
D
$$3/4$$
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