1
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 _______.
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2
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 _______.
GATE ECE 2018 Network Theory - Transient Response Question 9 English
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3
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 : GATE ECE 2018 Network Theory - Sinusoidal Steady State Response Question 11 English
A
1.25$$\sqrt 2 $$ sin(5t - 0.25$$\pi $$)
B
1.25$$\sqrt 2 $$ sin(5t - 0.125$$\pi $$)
C
2.5$$\sqrt 2 $$ sin(5t - 0.25$$\pi $$)
D
2.5$$\sqrt 2 $$ sin(5t - 0.125$$\pi $$)
4
GATE ECE 2018
Numerical
+2
-0

Consider the network shown below with R1 = 1 $$\Omega $$, R2 = 2 $$\Omega $$ and R3 = 3 $$\Omega $$. The network is connected to a constant voltage source of 11 V.

GATE ECE 2018 Network Theory - Network Elements Question 7 English

The magnitude of the current (in amperes, accurate to two decimal places) through the source is _______.

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