1
GATE ME 1994
Fill in the Blanks
+1
-0
The value of $$\int\limits_0^\infty {{e^{ - {y^3}}}.{y^{1/2}}} $$ dy is _________.
2
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
3
GATE ME 1993
Numerical
+1
-0
$$\mathop {Lim}\limits_{x \to 0} {{x\left( {{e^x} - 1} \right) + 2\left( {\cos x - 1} \right)} \over {x\left( {1 - \cos x} \right)}} = \_\_\_\_\_\_.$$
Your input ____
4
GATE ME 1993
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( {x,y} \right) = {x^2}y - 3xy + 2y + x$$ has
A
No local extremum
B
One local maximum but no local minimum
C
One local minimum but no local maximum
D
One local minimum and one local maximum
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Turbo Machinery
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