1
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
How many distinct values of $$x$$ satisfy the equation $$sin(x)=x/2,$$ where $$x$$ is in radians ?
A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$ or more
2
GATE ECE 2015 Set 3
Numerical
+1
-0
The value of $$\sum\limits_{n = 0}^\infty {n{{\left( {{1 \over 2}} \right)}^n}\,\,} $$ is _______.
Your input ____
3
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
The contour on the $$x-y$$ plane, where the partial derivative of $${x^2} + {y^2}$$ with respect to $$y$$ is equal to the partial derivative of $$6y+4x$$ with respect to $$'x',$$ is
A
$$y=2$$
B
$$x=2$$
C
$$x+y=4$$
D
$$x-y=0$$
4
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A function $$f\left( x \right) = 1 - {x^2} + {x^3}\,\,$$ is defined in the closed interval $$\left[ { - 1,1} \right].$$ The value of $$x,$$ in the open interval $$(-1,1)$$ for which the mean value theorem is satisfied, is
A
$$ - {1 \over 2}$$
B
$$ - {1 \over 3}$$
C
$$ {1 \over 3}$$
D
$$ {1 \over 2}$$
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