1
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
Given $$a>0,$$ we wish to calculate its reciprocal value $${1 \over a}$$ by using Newton - Raphson method for $$f(x)=0.$$ For $$a=7$$ and starting with $${x_0} = 0.2\,\,$$ the first two iterations will be
A
$$0.11,$$ $$0.1299$$
B
$$0.12,$$ $$0.1392$$
C
$$0.12,$$ $$0.1416$$
D
$$0.13,$$ $$0.1428$$
2
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of a function $$f(t)$$ is $$$F\left( s \right) = {{5{s^2} + 23s + 6} \over {s\left( {{s^2} + 2s + 2} \right)}}$$$
As $$t \to \propto ,\,\,f\left( t \right)$$ approaches
A
$$3$$
B
$$5$$
C
$$17/2$$
D
$$ \propto $$
3
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
Laplace transform of $$f\left( t \right) = \cos \left( {pt + q} \right)$$ is
A
$${{s\,\cos \,q - p\,\sin \,q} \over {{s^2} + {p^2}}}$$
B
$${{s\,\cos \,q - p\,\sin \,q} \over {{s^2} + {p^2}}}$$
C
$${{s\,\sin \,q - p\,\cos \,q} \over {{s^2} + {p^2}}}$$
D
$${{s\,\sin \,q + p\,\cos \,q} \over {{s^2} + {p^2}}}$$
4
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
1 TCU is equivalent to color produced by
A
1 mg/L of chloroplatinate ion
B
1 mg/L of platinum ion
C
1 mg/L of Platinum in the form of chloroplatinate ion
D
1 mg/L of organo-chloroplatinate ion
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