1
GATE CSE 1998
Subjective
+5
-0
(a) Find the points of local maxima and minima, if any, of the following function defined $$0 \le x \le 6.\,\,\,{x^3} - 6{x^2} + 9x + 15$$

(b) Integrate $$\,\,\,\int\limits_{ - \pi }^\pi {x\,\cos \,x\,dx}$$

2
GATE CSE 1998
+2
-0.6
Consider the following determinant $$\Delta = \left| {\matrix{ 1 & a & {bc} \cr 1 & a & {ca} \cr 1 & a & {ab} \cr } } \right|$$\$

Which of the following is a factor of $$\Delta$$ ?

A
$$a + b$$
B
$$a - b$$
C
$$a + b + c$$
D
$$abc$$
3
GATE CSE 1998
Subjective
+2
-0
Find the points of local maxima and minima if any of the following function defined in $$0 \le x \le 6,$$ $$\,\,\,\,f\left( x \right) = {x^3} - 6{x^2} + 9x + 15.$$
4
GATE CSE 1998
+1
-0.3
Which of the following is an example of spooled device?
A
The terminal used to enter the input data for the C program being executed.
B
An output device used to print the output of a number of jobs.
C
The secondary memory device in a virtual storage system.
D
The swapping area on a disk used by the swapper.
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