1
GATE CE 2017 Set 1
Numerical
+1
-0
$$\mathop {Lim}\limits_{x \to 0} \left( {{{\tan x} \over {{x^2} - x}}} \right)$$ is equal to _________.
Your input ____
2
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The number of parameters in the univariate exponential and Gaussian distributions, respectively, are
A
$$2$$ and $$2$$
B
$$1$$ and $$2$$
C
$$2$$ and $$1$$
D
$$1$$ and $$1$$
3
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For the function $$\,f\left( x \right) = a + bx,0 \le x \le 1,\,\,$$ to be a valid probability density function, which one of the following statements is correct?
A
$$a = 1,\,b = 4$$
B
$$\,a = 0.5,\,b = 1$$
C
$$a=0,$$ $$b=1$$
D
$$a=1,$$ $$b=-1$$
4
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The solution of the equation $$\,{{dQ} \over {dt}} + Q = 1$$ with $$Q=0$$ at $$t=0$$ is
A
$$Q\left( t \right) = {e^{ - t}} - 1$$
B
$$\,Q\left( t \right) = 1 + {e^{ - t}}$$
C
$$Q\left( t \right) = 1 - {e^t}$$
D
$$Q\left( t \right) = 1 - {e^{ - t}}$$
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