1
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
If $$f(0)=2$$ and $$f'\left( x \right) = {1 \over {5 - {x^2}}},$$ then the lower and upper bounds of $$f(1)$$ estimated by the mean value theorem are ______.
A
$$1.9,2.2$$
B
$$2.2, 2.25$$
C
$$2.25, 2.5$$
D
None of the above
2
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The integration of $$\int {{\mathop{\rm logx}\nolimits} \,dx} $$ has the value
A
$$\left( {x\log x - 1} \right)$$
B
$${\log x - x}$$
C
$$x\left( {\log x - 1} \right)$$
D
None of the above
3
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The volume generated by revolving the area bounded by the parabola $${y^2} = 8x$$ and the line $$x=2$$ about $$y$$-axis is
A
$${{128\pi } \over 5}$$
B
$${5 \over {128\pi }}$$
C
$${{127} \over {5\pi }}$$
D
None of the above
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