1
GATE ECE 2018
Numerical
+1
-0.33
Taylor series expansion of $$f\left( x \right) = \int\limits_0^x {{e^{ - \left( {{{{t^2}} \over 2}} \right)}}} dt$$ around 𝑥 = 0 has the form
f(x) = $${a_0} + {a_1}x + {a_2}{x^2} + ...$$
The coefficient $${a_2}$$ (correct to two decimal places) is equal to _______.
f(x) = $${a_0} + {a_1}x + {a_2}{x^2} + ...$$
The coefficient $${a_2}$$ (correct to two decimal places) is equal to _______.
Your input ____
2
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
As $$x$$ varies from $$- 1$$ to $$3,$$ which of the following describes the behavior of the function $$f\left( x \right) = {x^3} - 3{x^2} + 1?$$
3
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
How many distinct values of $$x$$ satisfy the equation $$sin(x)=x/2,$$ where $$x$$ is in radians ?
4
GATE ECE 2016 Set 3
Numerical
+1
-0
The integral $$\int\limits_0^1 {{{dx} \over {\sqrt {\left( {1 - x} \right)} }}} $$ is equal ________.
Your input ____
Questions Asked from Calculus (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2022 (1)
GATE ECE 2019 (1)
GATE ECE 2018 (2)
GATE ECE 2016 Set 2 (2)
GATE ECE 2016 Set 3 (1)
GATE ECE 2016 Set 1 (1)
GATE ECE 2015 Set 3 (2)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 4 (1)
GATE ECE 2014 Set 3 (2)
GATE ECE 2014 Set 2 (2)
GATE ECE 2010 (1)
GATE ECE 2008 (2)
GATE ECE 2007 (4)
GATE ECE 2005 (1)
GATE ECE 1997 (1)
GATE ECE 1995 (2)
GATE ECE 1994 (1)
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics