1
GATE ME 1993
Fill in the Blanks
+1
-0
The laplace transform of the periodic function $$f(t)$$ described by the curve below
$$i.e.\,\,f\left( t \right) = \left\{ {\matrix{ {\sin \,t,} & {if\left( {2n - 1} \right)\pi < t < 2n\pi \left( {n = 1,2,3,...} \right)} \cr 0 & {otherwise\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \cr } } \right.$$ is ___________. GATE ME 1993 Engineering Mathematics - Transform Theory Question 17 English
2
GATE ME 1993
MCQ (Single Correct Answer)
+1
-0.3
Simpson's rule for integration gives exact result when $$f(x)$$ is a polynomial function of degree less than or equal to ________.
A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
3
GATE ME 1993
Numerical
+1
-0
$$\mathop {Lim}\limits_{x \to 0} {{x\left( {{e^x} - 1} \right) + 2\left( {\cos x - 1} \right)} \over {x\left( {1 - \cos x} \right)}} = \_\_\_\_\_\_.$$
Your input ____
4
GATE ME 1993
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( {x,y} \right) = {x^2}y - 3xy + 2y + x$$ has
A
No local extremum
B
One local maximum but no local minimum
C
One local minimum but no local maximum
D
One local minimum and one local maximum
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