Let $$f\left( {x,y} \right) = {{a{x^2} + b{y^2}} \over {xy}}$$, where
$$a$$
and
$$b$$
are constants. If $${{\partial f} \over {\partial x}} = {{\partial f} \over {\partial y}}$$ at
x = 1 and y = 2, then
the relation between
$$a$$
and
$$b$$
is
A
$$a = {b \over 4}$$
B
$$a = {b \over 2}$$
C
$$a = 2b$$
D
$$a = 4b$$
2
GATE ECE 2018
Numerical
+1
-0
Taylor series expansion of $$f\left( x \right) = \int\limits_0^x {{e^{ - \left( {{{{t^2}} \over 2}} \right)}}} dt$$ around 𝑥 = 0 has the form
f(x) = $${a_0} + {a_1}x + {a_2}{x^2} + ...$$
The coefficient $${a_2}$$ (correct to two decimal places) is equal to _______.
Your input ____
3
GATE ECE 2018
Numerical
+2
-0
For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to
three decimal places) 0.5 second after closing the switch is _______.
Your input ____
4
GATE ECE 2018
MCQ (Single Correct Answer)
+2
-0.67
For the circuit given in the figure, the voltage
VC
(in volts) across the capacitor is :
