1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
In the Taylor series expansion of $${e^x} + \sin x$$ about the point $$x = \pi ,$$ the coefficient of $${\left( {x = \pi } \right)^2}$$ is
A
$${e^\pi }$$
B
$$0.5$$ $${e^\pi }$$
C
$${e^\pi }$$ $$+1$$
D
$${e^\pi }$$ $$-1$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the function $$\,f\left( x \right) = {x^2} - x - 2.\,$$ The maximum value of $$f(x)$$ in the closed interval $$\left[ { - 4,4} \right]\,$$
A
$$18$$
B
$$10$$
C
$$-2.25$$
D
indeterminate
3
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
$$\int\limits_0^{{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} {\int\limits_0^{{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} {\sin \left( {x + y} \right)dx\,dy} } $$
A
$$0$$
B
$$\pi $$
C
$${\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
D
$$2$$
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Graduate Aptitude Test in Engineering
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