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 2016 Set 2
Numerical
+2
-0
Suppose $$C$$ is the closed curve defined as the circle $$\,\,{x^2} + {y^2} = 1\,\,$$ with $$C$$ oriented anti-clockwise. The value of $$\,\,\oint {\left( {x{y^2}dx + {x^2}ydx} \right)\,\,} $$ over the curve $$C$$ equals _______.
Your input ____
3
GATE ECE 2016 Set 2
Numerical
+2
-0
The ordinary differential equation $$\,\,{{dx} \over {dt}} = - 3x + 2,\,\,$$ with $$x(0)=1$$ is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is _________.
Your input ____
4
GATE ECE 2016 Set 2
Numerical
+2
-0
Consider the complex valued function $$f\left( z \right) = 2{z^3} + b{\left| z \right|^3}$$ where $$z$$ is a complex variable. The value of $$b$$ for which the function $$f(z)$$ is analytic is __________.
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