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201

GATE Civil 2024 Set 1 | Question: 19
The elements that DO NOT increase the strength of structural steel are Carbon Manganese Sulphur Chlorine

The elements that DO NOT increase the strength of structural steel areCarbonManganeseSulphurChlorine

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202

GATE Civil 2024 Set 1 | Question: 20
Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section becomes under-reinforced? Area of tension reinforcement ... compression reinforcement is increased. Area of tension reinforcement is decreased. Area of compression reinforcement is decreased.

Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section...

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203

GATE Civil 2024 Set 1 | Question: 21
The primary air pollutant(s) is/are Sulfur dioxide Lead Ozone Sulphuric acid

The primary air pollutant(s) is/areSulfur dioxideLeadOzoneSulphuric acid

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204

GATE Civil 2024 Set 1 | Question: 22
Consider the data of $f(x)$ given in the table. \begin{array}{|c|c|c|c|} \hline i & 0 & 1 & 2 \\ \hline x_{i} & 1 & 2 & 3 \\ \hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 \\ \hline ... value of $f(1.5)$ estimated using second-order Newton's interpolation formula is $\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

Consider the data of $f(x)$ given in the table.\begin{array}{|c|c|c|c|}\hline i & 0 & 1 & 2 \\\hline x_{i} & 1 & 2 & 3 \\\hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 ...

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205

GATE Civil 2024 Set 1 | Question: 23
The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\text{A}$ to $\text{I}$ indicate joints of the frame. If the axial deformations are neglected, the degree of kinematic indeterminacy is $\_\_\_\_\_\_$. (in integer).

The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\tex...

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206

GATE Civil 2024 Set 1 | Question: 24
An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content is $17 \%$ ... $\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content...

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207

GATE Civil 2024 Set 1 | Question: 25
A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ ... $\_\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ day. Un...

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208

GATE Civil 2024 Set 1 | Question: 26
What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ? $1,2,5$ $1,3,4$ $-5,1,2$ $-5,-1,2$

What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ?$1,2,5$$1,3,4$$-5,1,2$$-5,-1,2$

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209

GATE Civil 2024 Set 1 | Question: 27
A vector field $\vec{p}$ and a scalar field $r$ are given by \[ \begin{aligned} \vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x^{2}\right) \hat{\jmath}+\left(2 z^{2}-3 x z+x^{2}\right) \ ... $\text{P}$ is TRUE and $\text{Q}$ is FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE Both $\mathrm{P}$ and $\mathrm{Q}$ are TRUE

A vector field $\vec{p}$ and a scalar field $r$ are given by\[\begin{aligned}\vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x...

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210

GATE Civil 2024 Set 1 | Question: 28
Find the correct match between the plane stress states and the Mohr's circles. $\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$ $\text{(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)}$ $\text{(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)}$ $\text{(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)}$

Find the correct match between the plane stress states and the Mohr's circles.$\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$$\text{(P)-(III); (Q)-(II); (R...

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211

GATE Civil 2024 Set 1 | Question: 29
The beam shown in the figure is subjected to a uniformly distributed downward load of intensity $q$ between supports $\text{A}$ and $\text{B}$ ... $\mathrm{RA}=\frac{q l}{2} ; \mathrm{RB}=q l ; \mathrm{RC}=\frac{q l}{2}$

The beam shown in the figure is subjected to a uniformly distributed downward load of intensity $q$ between supports $\text{A}$ and $\text{B}$.Considering ...

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212

GATE Civil 2024 Set 1 | Question: 30
A homogeneous shaft $\text{PQR}$ with fixed supports at both ends is subjected to a torsional moment $\mathrm{T}$ at point $\mathrm{Q}$, as shown in the figure. The polar moments of inertia of the portions $\text{PQ}$ and $\text{QR}$ of the shaft with circular ... the ratio of the lengths $\mathrm{L}_{1} / \mathrm{L}_{2}$ is $0.50$ $0.25$ $4.00$ $2.00$

A homogeneous shaft $\text{PQR}$ with fixed supports at both ends is subjected to a torsional moment $\mathrm{T}$ at point $\mathrm{Q}$, as shown in the fi...

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213

GATE Civil 2024 Set 1 | Question: 31
A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of $30^{\circ}$. The inclinations of failure planes with respect to the major principal plane for Rankine's active and passive earth pressure conditions, ... $30^{\circ}$ and $60^{\circ}$ $60^{\circ}$ and $30^{\circ}$

A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of $30^{\circ}$. The inclinations of failure...

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214

GATE Civil 2024 Set 1 | Question: 32
A flow velocity field $\vec{V}: \vec{V}(x, y)$ for a fluid is represented by \[ \vec{V}=3 \hat{\imath}+(5 x) \hat{\jmath} \] In the context of the fluid and the flow, which one of the following ... fluid is incompressible and the flow is irrotational. The fluid is compressible and the flow is rotational The fluid is compressible and the flow is irrotational.

A flow velocity field $\vec{V}: \vec{V}(x, y)$ for a fluid is represented by\[\vec{V}=3 \hat{\imath}+(5 x) \hat{\jmath}\]In the context of the fluid and the f...

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215

GATE Civil 2024 Set 1 | Question: 33
For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air pollutants. The emission standard (based on $11 \%$ Oxygen) for $\mathrm{HCl}$ ... is lesser than the emission standard. No compliance, as the Oxygen is greater than $11 \%$ in the flue gas.

For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air...

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216

GATE Civil 2024 Set 1 | Question: 34
The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is $1875$ $938$ $2075$ $1038$

The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-densi...

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217

GATE Civil 2024 Set 1 | Question: 35
A map is prepared with a scale of $1: 1000$ and a contour interval of $1 \mathrm{~m}$. If the distance between two adjacent contours on the map is $10 \mathrm{~mm}$, the slope of the ground between the adjacent contours is $30 \%$ $10 \%$ $35 \%$ $40 \%$

A map is prepared with a scale of $1: 1000$ and a contour interval of $1 \mathrm{~m}$. If the distance between two adjacent contours on the map is $10 \...

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218

GATE Civil 2024 Set 1 | Question: 36
Which of the following statement(s) is/are CORRECT? Swell potential of soil decreases with an increase in the shrinkage limit. Both loose and dense sands with different initial void ratios can attain similar void ... other corrections. In electrical resistivity tomography, the depth of current penetration is half of the spacing between the electrodes.

Which of the following statement(s) is/are CORRECT?Swell potential of soil decreases with an increase in the shrinkage limit.Both loose and dense sands ...

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219

GATE Civil 2024 Set 1 | Question: 37
The return period of a large earthquake for a given region is $200$ years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it will be exceeded at least once in $50$ years is $\_\_\_\_\_\_$ $\%$ (rounded off to the nearest integer).

The return period of a large earthquake for a given region is $200$ years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it wil...

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220

GATE Civil 2024 Set 1 | Question: 38
A $2 \mathrm{~m} \times 2 \mathrm{~m}$ tank of $3 \mathrm{~m}$ height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At $t=0$ ... grams) in the tank at $75 \%$ of its capacity is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

A $2 \mathrm{~m} \times 2 \mathrm{~m}$ tank of $3 \mathrm{~m}$ height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. A...

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221

GATE Civil 2024 Set 1 | Question: 39
The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical axial rigidity. A to $\mathrm{M}$ indicate the joints of the truss. The truss has pin supports at ... $\mathrm{L}$ is $\_\_\_\_\_\_$ (rounded off to $1$ decimal place).

The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical...

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222

GATE Civil 2024 Set 1 | Question: 40
An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force of $1000 \mathrm{kN}$ acting at the bottom kern point of the beam cross-section. Also consider ... $\text{B}2$ is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force o...

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223

GATE Civil 2024 Set 1 | Question: 41
The initial cost of an equipment is Rs. $1,00,000$. Its salvage value at the end of accounting life of $5$ years is Rs. $10,000$. The difference in depreciation (in Rs.) computed using 'double-declining balance method' and 'straight line method' of depreciation in Year-$2$ is $\_\_\_\_\_\_$ (in positive integer).

The initial cost of an equipment is Rs. $1,00,000$. Its salvage value at the end of accounting life of $5$ years is Rs. $10,000$. The difference in depreciation (in Rs.) ...

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224

GATE Civil 2024 Set 1 | Question: 42
A slab panel with an effective depth of $250 \mathrm{~mm}$ is reinforced with $0.2 \%$ main reinforcement using $8 \mathrm{~mm}$ diameter steel bars. The uniform center-to-center spacing (in $\mathrm{mm}$ ) at which the $8 \mathrm{~mm}$ diameter bars are placed in the slab panel is $\_\_\_\_\_\_$. (rounded off to the nearest integer).

A slab panel with an effective depth of $250 \mathrm{~mm}$ is reinforced with $0.2 \%$ main reinforcement using $8 \mathrm{~mm}$ diameter steel bars. The uniform center-t...

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225

GATE Civil 2024 Set 1 | Question: 43
The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{~mm}$. After $300$ days of the construction of the building, primary consolidation settlement was reported ... $50 \%$ of $S_{c}$ will be $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{...

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226

GATE Civil 2024 Set 1 | Question: 44
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ ... for the critically stable condition of the slope is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ with respect to horizontal gr...

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227

GATE Civil 2024 Set 1 | Question: 45
A soil sample was consolidated at a cell pressure of $20 \mathrm{kPa}$ and a back pressure of $10 \mathrm{kPa}$ for $24$ hours during a consolidated undrained $\text{(CU)}$ triaxial test. The cell pressure was increased to $30 \mathrm{kPa}$ on the next ... s pore pressure parameter $B$ for the soil sample is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

A soil sample was consolidated at a cell pressure of $20 \mathrm{kPa}$ and a back pressure of $10 \mathrm{kPa}$ for $24$ hours during a consolidated undrained $\text{(CU)...

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228

GATE Civil 2024 Set 1 | Question: 46
The ordinates of a $1$-hour unit hydrograph $\text{(UH)}$ are given below. Time (hours) $0$ $1$ $2$ $3$ $4$ $5$ Ordinates of $1$-hour $\mathrm{UH}\left(\mathrm{m}^{3} / \mathrm{s}\right)$ $0$ $13$ $50$ $80$ $95$ $85$ Time (hours) $6$ $7$ ... $3$-hour $\text{UH}$ is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

The ordinates of a $1$-hour unit hydrograph $\text{(UH)}$ are given below.Time (hours)$0$$1$$2$$3$$4$$5$Ordinates of $1$-hour $\mathrm{UH}\left(\mathrm{m}^{3} / \mathrm{s...

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229

GATE Civil 2024 Set 1 | Question: 47
A standard round bottom triangular canal section as shown in the figure has a bed slope of $1$ in $200$. Consider the Chezy's coefficient as $150 \mathrm{~m}^{1 / 2} / \mathrm{s}$. The normal depth of flow, $y$ (in meters) for carrying a discharge of $20 \mathrm{~m}^{3} / \mathrm{s}$ is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

A standard round bottom triangular canal section as shown in the figure has a bed slope of $1$ in $200$. Consider the Chezy's coefficient as $150 \mathrm{~m}^{1 / 2} / \m...

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230

GATE Civil 2024 Set 1 | Question: 48
A spillway has unit discharge of $7.5 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$. The flow depth at the downstream horizontal apron is $0.5 \mathrm{~m}$. The tail water depth (in meters) required to form a hydraulic jump is $\_\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

A spillway has unit discharge of $7.5 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$. The flow depth at the downstream horizontal apron is $0.5 \mathrm{~m}$. The tail water d...

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231

GATE Civil 2024 Set 1 | Question: 49
A $5 \mathrm{~m} \times 5 \mathrm{~m}$ closed tank of $10 \mathrm{~m}$ height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use $\gamma_{w}=10 \mathrm{kN} / \mathrm{m}^{3}$ and Specific gravity of oil ... $\_\_\_\_\_\_$. (rounded off to the nearest integer).

A $5 \mathrm{~m} \times 5 \mathrm{~m}$ closed tank of $10 \mathrm{~m}$ height contains water and oil, and is connected to an overhead water reservoir as shown in the figu...

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232

GATE Civil 2024 Set 1 | Question: 50
Activated carbon is used to remove a pollutant from wastewater in a mixed batch reactor, which follows first-order reaction kinetics. At a reaction rate of $0.38 /$ day, the time (in days) required to remove the pollutant by $95 \%$ is $\_\_\_\_\_\_\_$. (rounded off to $1$ decimal place).

Activated carbon is used to remove a pollutant from wastewater in a mixed batch reactor, which follows first-order reaction kinetics.At a reaction rate of $0.38 /$ day, t...

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233

GATE Civil 2024 Set 1 | Question: 51
A water treatment plant treats $25 \mathrm{MLD}$ water with a natural alkalinity of $4.0 \mathrm{mg} / \mathrm{L}$ (as $\mathrm{CaCO}_{3}$ ). It is estimated that, during coagulation of this water, $450 \mathrm{~kg} /$ ... $\mathrm{kg}$ ) required for this process per day is $\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

A water treatment plant treats $25 \mathrm{MLD}$ water with a natural alkalinity of $4.0 \mathrm{mg} / \mathrm{L}$ (as $\mathrm{CaCO}_{3}$ ). It is estimated that, during...

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234

GATE Civil 2024 Set 1 | Question: 52
The number of trains and their corresponding speeds for a curved Broad Gauge section with $437 \mathrm{~m}$ radius, are $20$ trains travel at a speed of $40 \mathrm{~km} / \mathrm{hr}$ $15$ ... the required equilibrium cant (in $\mathrm{mm}$ ) will be $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

The number of trains and their corresponding speeds for a curved Broad Gauge section with $437 \mathrm{~m}$ radius, are$20$ trains travel at a speed of $40 \mathrm{~km} /...

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235

GATE Civil 2024 Set 1 | Question: 53
The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represents unique identification of each vehicle. The mean speed (in $\mathrm{km} / \mathrm{hr}$ ) of the vehicles in the entire time-space domain is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represents unique identification of each vehicle.The mean s...

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236

GATE Civil 2024 Set 1 | Question: 54
The following data is obtained from an axle load survey at a site: Average rear axle load $=12000 \mathrm{~kg}$ Number of commercial vehicles $=800$ per day The pavement at this site would be reconstructed over a period of 5 years from the date of survey. The ... $\mathrm{msa}$ ) for the pavement design is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

The following data is obtained from an axle load survey at a site:Average rear axle load $=12000 \mathrm{~kg}$Number of commercial vehicles $=800$ per dayThe pavement at ...

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237

GATE Civil 2024 Set 1 | Question: 55
A bird is resting on a point $\mathrm{P}$ at a height of $8 \mathrm{~m}$ above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground surface and reaches a point $\mathrm{Q}$ ... the horizontal distance (in meters) between points $\mathrm{P}$ and $\mathrm{Q}$ is $\_\_\_\_\_\_$ (in integer).

A bird is resting on a point $\mathrm{P}$ at a height of $8 \mathrm{~m}$ above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground ...

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238

gate question from engineering mathematics in ordinary differential equation
for the differential equation ,d^2y/dx^2+3dy/dx+4y=3cos2x,then value of particular integral is

for the differential equation ,d^2y/dx^2+3dy/dx+4y=3cos2x,then value of particular integral is

saswati mahapatra

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saswati mahapatra asked Aug 28, 2023

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239

GATE Civil 2023 Set 2 | Question: 1
Let $\phi$ be a scalar field, and $\boldsymbol{u}$ be a vector field. Which of the following identities is true for $\operatorname{div}(\phi \boldsymbol{u})$ ...

Let $\phi$ be a scalar field, and $\boldsymbol{u}$ be a vector field. Which of the following identities is true for $\operatorname{div}(\phi \boldsymbol{u})$? $\operatorn...

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240

GATE Civil 2023 Set 2 | Question: 2
Which of the following probability distribution functions (PDFs) has the mean greater than the median? Function $1$ Function $2$ Function $3$ Function $4$

Which of the following probability distribution functions (PDFs) has the mean greater than the median?Function $1$Function $2$Function $3$Function $4$

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tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true