1
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
The length of the curve $$\,y = {2 \over 3}{x^{3/2}}$$ between $$x=0$$ & $$x=1$$ is
A
$$0.27$$
B
$$0.67$$
C
$$1$$
D
$$1.22$$
2
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Let $$\,\,f = {y^x}.$$ What is $$\,\,{{{\partial ^2}f} \over {\partial x\partial y}}\,\,$$ at $$x=2,$$ $$y=1$$?
A
$$0$$
B
$$\ln \,2$$
C
$$1$$
D
$${1 \over {\ln \,2}}$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The divergence of the vector field $$\left( {x - y} \right)\widehat i + \left( {y - x} \right)\widehat j + \left( {x + y + z} \right)\widehat k$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
4
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
The directional derivative of the scalar function $$f(x, y, z)$$$$ = {x^2} + 2{y^2} + z\,\,$$ at the point $$P = \left( {1,1,2} \right)$$ in the direction of the vector $$\,\overrightarrow a = 3\widehat i - 4\widehat j\,\,$$ is
A
$$-4$$
B
$$-2$$
C
$$-1$$
D
$$1$$
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