1
GATE ECE 1995
+1
-0.3
By reversing the order of integration $$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} }$$ may be represented as ______.
A
$$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} }$$
B
$$\int\limits_0^2 {\int\limits_y^{\sqrt y } {f\left( {x,y} \right)dy\,dx} }$$
C
$$\int\limits_0^4 {\int\limits_{y/2}^{\sqrt y } {f\left( {x,y} \right)dy\,dx} }$$
D
$$\int\limits_{{x^2}}^{2x} {\int\limits_0^2 {f\left( {x,y} \right)dy\,dx} }$$
2
GATE ECE 1995
+1
-0.3
The third term in the taylor's series expansion of $${e^x}$$ about $$'a'$$ would be ________.
A
$${e^a}\left( {x - a} \right)$$
B
$${{{e^a}} \over 2}{\left( {x - a} \right)^2}$$
C
$${{{e^a}} \over 2}$$
D
$${{{e^a}} \over 6}{\left( {x - a} \right)^3}$$
3
GATE ECE 1995
+1
-0.3
If $$L\left\{ {f\left( t \right)} \right\} = {{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$ then $$f\left( {{0^ + }} \right)$$ and $$f\left( \propto \right)$$ are given by ___________.
A
$$0,2$$ respectively
B
$$2,0$$ respectively
C
$$0,1$$ respectively
D
$${2 \over 5},0$$ respectively
4
GATE ECE 1995
+1
-0.3
In a microprocessor, when a CPU is interrupted, it
A
Stops execution of instructions.
B
Acknowledges interrupt and branches of subroutine.
C
Acknowledges interrupt and continues.
D
Acknowledges interrupt and waits for the next instrution from the interrupting device.
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