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1
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-0.3
By reversing the order of integration $$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$ may be represented as ______.
A
$$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$
B
$$\int\limits_0^2 {\int\limits_y^{\sqrt y } {f\left( {x,y} \right)dy\,dx} } $$
C
$$\int\limits_0^4 {\int\limits_{y/2}^{\sqrt y } {f\left( {x,y} \right)dy\,dx} } $$
D
$$\int\limits_{{x^2}}^{2x} {\int\limits_0^2 {f\left( {x,y} \right)dy\,dx} } $$
2
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-0.3
The third term in the taylor's series expansion of $${e^x}$$ about $$'a'$$ would be ________.
A
$${e^a}\left( {x - a} \right)$$
B
$${{{e^a}} \over 2}{\left( {x - a} \right)^2}$$
C
$${{{e^a}} \over 2}$$
D
$${{{e^a}} \over 6}{\left( {x - a} \right)^3}$$
3
GATE ECE 1994
MCQ (Single Correct Answer)
+1
-0.3
The function $$y = {x^2} + {{250} \over x}$$ at $$x=5$$ attains
A
Maximum
B
Minimum
C
Neither
D
$$1$$
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GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous
Network Theory
State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous
Control Systems
Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
Digital Circuits
Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Electronic Devices and VLSI
Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET
Analog Circuits
Bipolar Junction Transistor FET and MOSFET Oscillators Operational Amplifier 555 Timer Frequency Response Diodes Feedback Amplifier Power Amplifier
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Numerical Methods Transform Theory
Microprocessors
Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
Communications
Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise
Electromagnetics
Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves
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