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2601
GATE ECE 2014 Set 4 | Question: 54
Gven $\overrightarrow{F} = z \hat{a}_x + x \hat{a}_y + y \hat{a}_z$. If $S$ represents the portion of the sphere $x^2 +y^2+z^2=1$ for $z \geq 0$, then $\int _s \nabla \times \overrightarrow{F} \cdot \overrightarrow{ds}$ is __________.
Gven $\overrightarrow{F} = z \hat{a}_x + x \hat{a}_y + y \hat{a}_z$. If $S$ represents the portion of the sphere $x^2 +y^2+z^2=1$ for $z \geq 0$, then $\int _s \nabla \ti...
Milicevic3306
16.0k
points
228
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-4
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2602
GATE ECE 2014 Set 4 | Question: 55
If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the electrostatic potential is $xy^3 – yz^2$ $2xy^3-xyz^2$ $y^3+xyz^2$ $2xy^3-3xyz^2$
If $\overrightarrow{E} = -(2y^3 – 3yz^2)\hat{x} – (6xy^2-3xz^2) \hat{y}+(6xyz) \hat{z}$ is the electric field in a source free region, a valid expression for the ele...
Milicevic3306
16.0k
points
172
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-4
electrostatics
electromagnetics
+
–
0
votes
0
answers
2603
GATE ECE 2014 Set 3 | GA Question: 1
India is a country of rich heritage and cultural diversity. Which one of the following facts best supports the claim made in the above sentence? India is a union of $28$ states and $7$ union territories. India has a population of ... India is home to $22$ official languages and thousands of dialects. The Indian cricket team draws players from over ten states.
“India is a country of rich heritage and cultural diversity.”Which one of the following facts best supports the claim made in the above sentence?India is a union of $...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2014-ec-3
verbal-ability
verbal-reasoning
+
–
0
votes
0
answers
2604
GATE ECE 2014 Set 3 | GA Question: 2
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupeehas ____________.depresseddepreciatedappreciatedstabilized
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2014-ec-3
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
2605
GATE ECE 2014 Set 3 | GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
'Advice' is ________________.a verba nounan adjectiveboth a verb and a noun
Milicevic3306
16.0k
points
73
views
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2014-ec-3
verbal-ability
english-grammar
+
–
0
votes
0
answers
2606
GATE ECE 2014 Set 3 | GA Question: 4
The next term in the series $81, 54, 36, 24, \dots$ is ________
The next term in the series $81, 54, 36, 24, \dots$ is ________
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2014-ec-3
analytical-aptitude
logical-reasoning
sequence-series
numerical-answers
+
–
0
votes
0
answers
2607
GATE ECE 2014 Set 3 | GA Question: 5
In which of the following options will the expression $P < M$ be definitely true? $M < R > P > S$ $M > S < P < F$ $Q < M < F = P$ $P = A < R < M$
In which of the following options will the expression $P < M$ be definitely true?$M < R P S$$M S < P < F$$Q < M < F = P$$P = A < R < M$
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2014-ec-3
analytical-aptitude
logical-reasoning
inequality
+
–
0
votes
0
answers
2608
GATE ECE 2014 Set 3 | GA Question: 6
Find the next term in the sequence: $7G, 11K, 13M$,____ $15Q$ $17Q$ $15P$ $17P$
Find the next term in the sequence:$7G, 11K, 13M$,____$15Q$$17Q$$15P$$17P$
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2014-ec-3
analytical-aptitude
logical-reasoning
sequence-series
+
–
0
votes
0
answers
2609
GATE ECE 2014 Set 3 | GA Question: 7
The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are: Butterflies are birds There are more tigers in this forest than red ants All reptiles in this forest are either snakes or crocodiles Elephants are ... (ii), (iii) and (iv) (i), (iii) and (iv) only (i), (ii) and (iii) only
The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are:Butterflies are birdsThere a...
Milicevic3306
16.0k
points
91
views
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2014-ec-3
numerical-ability
data-interpretation
pie-chart
+
–
0
votes
0
answers
2610
GATE ECE 2014 Set 3 | GA Question: 8
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2014-ec-3
numerical-ability
boat-streams
numerical-answers
+
–
0
votes
0
answers
2611
GATE ECE 2014 Set 3 | GA Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour ... a profit of Rs. $10$ lakhs in $2012$, at what price (in $Rs$.) was each air purifier sold?
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportati...
Milicevic3306
16.0k
points
98
views
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2014-ec-3
numerical-ability
data-interpretation
pie-chart
numerical-answers
+
–
0
votes
0
answers
2612
GATE ECE 2014 Set 3 | GA Question: 10
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ________
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five d...
Milicevic3306
16.0k
points
74
views
Milicevic3306
asked
Mar 26, 2018
Quantitative Aptitude
gate2014-ec-3
numerical-ability
probability
numerical-answers
+
–
0
votes
0
answers
2613
GATE ECE 2014 Set 3 | Question: 1
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2014-ec-3
calculus
maxima-minima
numerical-answers
+
–
0
votes
0
answers
2614
GATE ECE 2014 Set 3 | Question: 2
Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively? $\frac{dy}{dx}+xy= e^{-x}$ $\frac{dy}{dx}+xy= 0$ $\frac{dy}{dx}+xy= e^{-y}$ $\frac{dy}{dx}+ e^{-y}= 0$
Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively?$\frac{dy}{dx}+...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 26, 2018
Differential Equations
gate2014-ec-3
differential-equations
+
–
0
votes
0
answers
2615
GATE ECE 2014 Set 3 | Question: 3
Match the application to appropriate numerical method. ... $P1-M3,P2-M1,P3-M4,P4-M2$ $P1-M4,P2-M1,P3-M3,P4-M2$ $P1-M2,P2-M1,P3-M3,P4-M4$
Match the application to appropriate numerical method.$\begin{array}{ll} \underline{\text{Application}} & \underline{\text{Numerical} \mid \text{Method}} \\ \text{P1: Nu...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2014-ec-3
numerical-methods
+
–
0
votes
0
answers
2616
GATE ECE 2014 Set 3 | Question: 4
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is $0.067$ $0.073$ $0.082$ $0.091$
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is$0.067$$0.073$$0.082$$0.091$
Milicevic3306
16.0k
points
91
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
+
–
0
votes
0
answers
2617
GATE ECE 2014 Set 3 | Question: 5
If $z= xy \text{ ln} (xy)$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}= 0 \\$ $y\frac{\partial z}{\partial x}= x\frac{\partial z}{\partial y} \\$ $x\frac{\partial z}{\partial x}= y\frac{\partial z}{\partial y} \\$ $y\frac{\partial z}{\partial x}+x\frac{\partial z}{\partial y}= 0$
If $z= xy \text{ ln} (xy)$, then$x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}= 0 \\$$y\frac{\partial z}{\partial x}= x\frac{\partial z}{\partial y} \\$$x...
Milicevic3306
16.0k
points
128
views
Milicevic3306
asked
Mar 26, 2018
Differential Equations
gate2014-ec-3
differential-equations
partial-differential-equations
+
–
0
votes
0
answers
2618
GATE ECE 2014 Set 3 | Question: 6
A series $RC$ circuit is connected to a $DC$ voltage source at time $t= 0$. The relation between the source voltage $V_{s},$ the resistance $R$, the capacitance $C$, and the current $i(t)$ is given below. $V_{s}= R \: i(t)+\frac{1}{c}\int ^{t}_{o}i(u)du$. Which one of the following represents the current $i(t)$?
A series $RC$ circuit is connected to a $DC$ voltage source at time $t= 0$. The relation between the source voltage $V_{s},$ the resistance $R$, the capacitance $C$, and ...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
+
–
0
votes
0
answers
2619
GATE ECE 2014 Set 3 | Question: 7
In the figure shown, the value of the current $I$ (in Amperes) is __________.
In the figure shown, the value of the current $I$ (in Amperes) is __________.
Milicevic3306
16.0k
points
91
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2620
GATE ECE 2014 Set 3 | Question: 8
In MOSFET fabrication, the channel length is defined during the process of isolation oxide growth channel stop implantation poly-silicon gate patterning lithography step leading to the contact pads
In MOSFET fabrication, the channel length is defined during the process ofisolation oxide growthchannel stop implantationpoly-silicon gate patterninglithography step lead...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
analog-circuits
mosfet
+
–
0
votes
0
answers
2621
GATE ECE 2014 Set 3 | Question: 9
A thin $P$-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional to the minority carrier mobility the minority carrier recombination lifetime the majority carrier concentration the excess minority carrier concentration
A thin $P$-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional tothe minority carrier...
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
electronic-devices
silicon
+
–
0
votes
0
answers
2622
GATE ECE 2014 Set 3 | Question: 10
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$/s$ is _________
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$$/s$ is ...
Milicevic3306
16.0k
points
70
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
diffusion
+
–
0
votes
0
answers
2623
GATE ECE 2014 Set 3 | Question: 11
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistance high input resistance and low output resistance low input resistance and high output resistance low input resistance and low output resistance
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistancehigh input resistance and low output resistancelow input...
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
amplifier
analog-circuits
+
–
0
votes
0
answers
2624
GATE ECE 2014 Set 3 | Question: 12
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value of $R_{C}$ (in $k \Omega$) is ________
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-3
numerical-answers
electronic-devices
p-n-p-transistor
+
–
0
votes
0
answers
2625
GATE ECE 2014 Set 3 | Question: 13
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
Milicevic3306
16.0k
points
380
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
numerical-answers
analog-circuits
diodes
+
–
0
votes
0
answers
2626
GATE ECE 2014 Set 3 | Question: 14
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is __________
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is ________...
Milicevic3306
16.0k
points
194
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-3
numerical-answers
analog-circuits
voltage-reference-circuits
+
–
0
votes
0
answers
2627
GATE ECE 2014 Set 3 | Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
The circuit shown in the figure is a Toggle Flip FlopJK Flip FlopSR LatchMaster-Slave D Flip Flop
Milicevic3306
16.0k
points
190
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
sequential-circuit
flip-flops
+
–
0
votes
0
answers
2628
GATE ECE 2014 Set 3 | Question: 17
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal low-pass filter with cut-off frequency of $20 Hz$. The frequency/frequencies present in the reconstructed signal is/are $5$ Hz and $15$ Hz only $10$ Hz and $15$ Hzonly $5$ Hz, $10$ Hz and $15$Hz only $5$ Hz only
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal low-pass filter with cut-off frequency of $20 Hz$. The frequency/frequencie...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
electromagnetics
cut-off-frequency
+
–
0
votes
0
answers
2629
GATE ECE 2014 Set 3 | Question: 18
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$the...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
continuous-time-signals
+
–
0
votes
0
answers
2630
GATE ECE 2014 Set 3 | Question: 19
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) at which $y(t)$ should be sampled to recover $m(t)$ is _______.
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) a...
Milicevic3306
16.0k
points
193
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
numerical-answers
digital-communications
communications
+
–
0
votes
0
answers
2631
GATE ECE 2014 Set 3 | Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is$\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$$G_{1}G_{2}+G_{1}+1$$G_{1...
Milicevic3306
16.0k
points
179
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2632
GATE ECE 2014 Set 3 | Question: 21
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $-2$, then the value of the output at steady state is _______.
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2633
GATE ECE 2014 Set 3 | Question: 22
The phase response of a passband waveform at the receiver is given by $\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$ where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the ... $\frac{\alpha\beta }{\alpha +\beta } \\$ $\alpha \\$ $\beta$
The phase response of a passband waveform at the receiver is given by $$\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$$where $f_{c}$ is the centre frequency, and $...
Milicevic3306
16.0k
points
73
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
electromagnetics
+
–
0
votes
0
answers
2634
GATE ECE 2014 Set 3 | Question: 23
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency from the carrier frequency $f_{c}$ is $\beta _{1}f_{1}+\beta _{2}f_{2}$ $\beta _{1}f_{2}+\beta _{2}f_{1}$ $\beta _{1}+\beta _{2}$ $f _{1}+f _{2}$
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-3
digital-communications
frequency-modulation
communications
+
–
0
votes
0
answers
2635
GATE ECE 2014 Set 3 | Question: 24
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __________.
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
numerical-answers
electromagnetics
cut-off-frequency
+
–
0
votes
0
answers
2636
GATE ECE 2014 Set 3 | Question: 25
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the characteristic impedance $Z_{0}$ of the cable and the input impedance ... $Z_{R}\neq Z_{0}$ Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the ...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-3
electromagnetics
impedance
+
–
0
votes
0
answers
2637
GATE ECE 2014 Set 3 | Question: 26
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2014-ec-3
calculus
maxima-minima
numerical-answers
+
–
0
votes
0
answers
2638
GATE ECE 2014 Set 3 | Question: 27
Which one of the following statements is NOT true for a square matrix $A$? If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of it If $A$ is real symmetric, the eigenvalues of $A$ are always real and positive If $A$ ... $A$ are positive, all the eigenvalues of $A$ are also positive
Which one of the following statements is NOT true for a square matrix $A$?If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of itIf $A$ is real...
Milicevic3306
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Milicevic3306
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Linear Algebra
gate2014-ec-3
linear-algebra
matrices
eigen-values
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2639
GATE ECE 2014 Set 3 | Question: 28
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
Milicevic3306
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86
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Milicevic3306
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Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
expectation
numerical-answers
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0
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0
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2640
GATE ECE 2014 Set 3 | Question: 29
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2...
Milicevic3306
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135
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Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-3
probability-and-statistics
probability
independent-events
random-variable
uniform-distribution
numerical-answers
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