1
GATE ECE 2015 Set 1
+2
-0.6
Which one of the following graphs describes the function? $$f\left( x \right) = {e^{ - x}}\left( {{x^2} + x + 1} \right)\,?$$
A B C D 2
GATE ECE 2014 Set 4
+2
-0.6
For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the angle between the hypotenuse and the side is
A
$${12^ \circ }$$
B
$${36^ \circ }$$
C
$${60^ \circ }$$
D
$${45^ \circ }$$
3
GATE ECE 2014 Set 3
Numerical
+2
-0
The maximum value of $$f\left( x \right) = 2{x^3} - 9{x^2} + 12x - 3$$
in the interval $$\,0 \le x \le 3$$ is __________.
4
GATE ECE 2014 Set 1
+2
-0.6
The Taylor series expansion of $$3$$ $$sin$$ $$x$$ $$+2cos$$ $$x$$ is
A
$$2 + 3x - {x^2} - {{{x^3}} \over 2} + - - -$$
B
$$2 - 3x + {x^2} - {{{x^3}} \over 2} + - - -$$
C
$$2 + 3x + {x^2} + {{{x^3}} \over 2} + - - -$$
D
$$2 - 3x - {x^2} + {{{x^3}} \over 2} + - - -$$
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
EXAM MAP
Joint Entrance Examination