1
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
A series expansion for the function $$\sin \theta $$ is _______.
A
$$1 - {{{\theta ^2}} \over {2!}} + {{{\theta ^4}} \over {4!}} - ......$$
B
$$\theta - {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} - ......$$
C
$$1 + \theta + {{{\theta ^2}} \over {2!}} + {{{\theta ^3}} \over {3!}} + ......$$
D
$$\theta + {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} + ......$$
2
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
If $$f(x)$$ is even function and a is a positive real number , then $$\int\limits_{ - a}^a {f\left( x \right)dx\,\,} $$ equals ________.
A
$$0$$
B
$$a$$
C
$$2a$$
D
$$2\int\limits_0^a {f\left( x \right)dx\,\,} $$
3
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
What is $$\mathop {Lim}\limits_{\theta \to 0} {{\sin \theta } \over \theta }\,\,$$ equal to ?
A
$$\theta $$
B
$$sin$$$$\theta $$
C
$$0$$
D
$$1$$
4
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The parabolic are $$y = \sqrt x ,1 \le x \le 2$$ is revolved around the $$x$$-axis. The volume of the solid of revolution is
A
$${\pi \over 4}$$
B
$${\pi \over 2}$$
C
$${{3\pi } \over 4}$$
D
$${{3\pi } \over 2}$$
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