1
GATE ECE 2018
Numerical
+1
-0.33
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
+1
-0.33
Let X1 , X2 , X3 and X4 be independent normal random variables with zero mean and unit variance. The probability that X4 is the smallest among the four is _______.
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3
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 6 English

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

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4
GATE ECE 2018
Numerical
+1
-0.33
The ABCD matrix for a two-port network is defined by :

$$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \left[ {\matrix{ A & B \cr C & D \cr } } \right]\left[ {\matrix{ {{V_2}} \cr { - {I_2}} \cr } } \right]$$ GATE ECE 2018 Network Theory - Two Port Networks Question 2 English

The parameter B for the given two-port network (in ohms, correct to two decimal places) is _______.
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