1
GATE ECE 2017 Set 1
Numerical
+2
-0
A three dimensional region $$R$$ of finite volume is described by $$\,\,{x^2} + {y^2} \le {z^3},\,\,\,0 \le z \le 1$$
Where $$x, y, z$$ are real. The volume of $$R$$ correct to two decimal places is __________.
Where $$x, y, z$$ are real. The volume of $$R$$ correct to two decimal places is __________.
Your input ____
2
GATE ECE 2017 Set 2
Numerical
+2
-0
The minimum value of the function $$f\left( x \right) = {1 \over 3}x\left( {{x^2} - 3} \right)\,\,$$ in the interval $$ - 100 \le x \le $$ $$100$$ occurs at $$x=$$ __________.
Your input ____
3
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The values of the integrals $$\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dy} } \right)} dx\,\,$$ and $$\,\,\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dx} } \right)} dy\,\,$$ are
4
GATE ECE 2016 Set 1
Numerical
+2
-0
The integral $$\,\,{1 \over {2\pi }}\int {\int_D {\left( {x + y + 10} \right)dxdy\,\,} } $$ where $$D$$ denotes the disc: $${x^2} + {y^2} \le 4,$$ evaluates to _________.
Your input ____
Questions Asked from Calculus (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2024 (1)
GATE ECE 2023 (2)
GATE ECE 2022 (2)
GATE ECE 2018 (1)
GATE ECE 2017 Set 1 (2)
GATE ECE 2017 Set 2 (2)
GATE ECE 2016 Set 1 (2)
GATE ECE 2016 Set 3 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (2)
GATE ECE 2014 Set 4 (1)
GATE ECE 2014 Set 3 (1)
GATE ECE 2014 Set 1 (2)
GATE ECE 2009 (1)
GATE ECE 2008 (2)
GATE ECE 2007 (1)
GATE ECE 2000 (1)
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
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
Communications
Electromagnetics
General Aptitude