1
GATE ME 1995
MCQ (Single Correct Answer)
+1
-0.3
The area bounded by the parabola $$2y = {x^2}$$ and the lines $$x=y-4$$ is equal to _________.
A
$$6$$
B
$$18$$
C
$$\infty $$
D
None
2
GATE ME 1994
Fill in the Blanks
+1
-0
The value of $$\int\limits_0^\infty {{e^{ - {y^3}}}.{y^{1/2}}} $$ dy is _________.
3
GATE ME 1994
True or False
+1
-0
If $$H(x, y)$$ is homogeneous function of degree $$n$$ then $$x{{\partial H} \over {\partial x}} + y{{\partial H} \over {\partial y}} = nH$$
A
TRUE
B
FALSE
4
GATE ME 1993
Numerical
+1
-0
$$\mathop {Lim}\limits_{x \to 0} {{x\left( {{e^x} - 1} \right) + 2\left( {\cos x - 1} \right)} \over {x\left( {1 - \cos x} \right)}} = \_\_\_\_\_\_.$$
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