1
GATE ME 1997
MCQ (Single Correct Answer)
+1
-0.3
For the following set of simultaneous equations $$$1.5x - 0.5y + z = 2$$$ $$$4x + 2y + 3z = 9$$$ $$$7x + y + 5z = 10$$$
A
the solution is unique
B
infinitely many solutions exist
C
the equations are incompatible
D
finite many solutions exist
2
GATE ME 1997
MCQ (Single Correct Answer)
+1
-0.3
Area bounded by the curve $$y = {x^2}$$ and the lines $$x=4$$ and $$y=0$$ is given by
A
$$64$$
B
$${{64} \over 3}$$
C
$${{128} \over 3}$$
D
$${{128} \over 4}$$
3
GATE ME 1997
MCQ (Single Correct Answer)
+1
-0.3
The order of error in the simpson's rule for numerical integration with a step size $$h$$ is
A
$$h$$
B
$${h^2}$$
C
$${h^3}$$
D
$${h^4}$$
4
GATE ME 1997
Subjective
+1
-0
Solve the initial value problem
$${{{d^2}y} \over {d{x^2}}} - 4{{dy} \over {dx}} + 3y = 0$$ with $$y=3$$ and
$${{dy} \over {dx}} = 7$$ at $$x=0$$ using the laplace transform technique?
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