1
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
The Taylor's series expansion of sin $$x$$ is ______.
A
$$1 - {{{x^2}} \over {2!}} + {{{x^4}} \over {4!}} - ......$$
B
$$1 + {{{x^2}} \over {4!}} + {{{x^4}} \over {4!}} + ......$$
C
$$x + {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} + ......$$
D
$$x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - ......$$
2
GATE CE 1997
MCQ (Single Correct Answer)
+1
-0.3
If $$\varphi \left( x \right) = \int\limits_0^{{x^2}} {\sqrt t \,dt\,} $$ then $${{d\varphi } \over {dx}} = \_\_\_\_\_\_\_.$$
A
$$2\,{x^2}$$
B
$$\sqrt x $$
C
$$0$$
D
$$1$$
3
GATE CE 1997
MCQ (Single Correct Answer)
+1
-0.3
If $$y = \left| x \right|$$ for $$x < 0$$ and $$y=x$$ for $$x \ge 0$$ then
A
$${{dy} \over {dx}}$$ is discontinuous at $$x=0$$
B
$$y$$ is discontinuous at $$x=0$$
C
$$y$$ is not defined at $$x=0$$
D
Both $$y$$ and $${{dy} \over {dx}}$$ are discontinuous at $$x=0$$
4
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = {x^3} - 6{x^2} + 9x + 25$$ has
A
a maxima at $$x=1$$ and a minima at $$x=3$$
B
a maxima at $$x=3$$ and a minima at $$x=1$$
C
no maxima, but a minima at $$x=3$$
D
a maxima at $$x=1,$$ but no minima
GATE CE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12