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41

GATE Civil 2022 Set 2 | Question: 10
In a certain month, the reference crop evapotranspiration at a location is $6 \; \text{mm/day.}$ If the crop coefficient and soil coefficient are $1.2$ and $0.8,$ respectively, the actual evapotranspiration in $\text{mm/day}$ is $5.76$ $7.20$ $6.80$ $8.00$

In a certain month, the reference crop evapotranspiration at a location is $6 \; \text{mm/day.}$ If the crop coefficient and soil coefficient are $1.2$ and $0.8,$ respect...

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42

GATE Civil 2023 Set 2 | Question: 46
A $2\text{D}$ thin plate with modulus of elasticity, $E=1.0 \mathrm{~N} / \mathrm{m}^{2}$, and Poisson's ratio, $\mu=0.5$, is in plane stress condition. The displacement field in the plate is given by $u=C x^{2} y$ and $v=0$ ... $\alpha$ (in $\mathrm{N} / \mathrm{m}^{4}$, in integer)?________________

A $2\text{D}$ thin plate with modulus of elasticity, $E=1.0 \mathrm{~N} / \mathrm{m}^{2}$, and Poisson's ratio, $\mu=0.5$, is in plane stress condition. The displacement ...

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43

GATE Civil 2023 Set 2 | Question: 29
In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ units, respectively. The principal stresses are ___________ . (round off to one ... $\sigma_{\mathrm{x}}=16.0 \mathrm{~MPa}, \sigma_y=138.5 \mathrm{~MPa}$

In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ ...

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44

GATE Civil 2023 Set 2 | Question: 14
The magnetic bearing of the sun for a location at noon is $ 183^{\circ} \; 30^{\prime}$. If the sun is exactly on the geographic meridian at noon, the magnetic declination of the location is ____________. $3^{\circ} \; 30^{\prime} ~ \mathrm{W}$ ... $93^{\circ} \; 30^{\prime} ~ \mathrm{W}$ $93^{\circ} \; 30^{\prime} ~ \mathrm{E}$

The magnetic bearing of the sun for a location at noon is $ 183^{\circ} \; 30^{\prime}$. If the sun is exactly on the geographic meridian at noon, the magnetic declinatio...

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45

GATE Civil 2023 Set 2 | Question: 13
Which of the following is equal to the stopping sight distance? (braking distance required to come to stop) $+$ (distance travelled during the perception-reaction time) (braking distance required to come to stop) $-$ (distance ... the perception-reaction time) (braking distance required to come to stop) (distance travelled during the perception-reaction time)

Which of the following is equal to the stopping sight distance?(braking distance required to come to stop) $+$ (distance travelled during the perception-reaction time) (b...

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46

GATE Civil 2023 Set 2 | Question: 23
The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mathrm{B}$ is mercury with a specific gravity of $13.6.$ ... as $9.81 \mathrm{~m} / \mathrm{s}^2$ and atmospheric pressure as $101.3 ~ \mathrm{kN} / \mathrm{m}^2$ ]

The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mat...

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47

GATE Civil 2023 Set 2 | Question: 22
An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $\mathrm{kPa}$, in integer) of the soil is ______________.

An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $...

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48

GATE Civil 2023 Set 2 | Question: 24
For the elevation and temperature data given in the table, the existing lapse rate in the environment is _______________ $\text{C}^{\circ} / 100 \mathrm{~m}$ ...

For the elevation and temperature data given in the table, the existing lapse rate in the environment is _______________ $\text{C}^{\circ} / 100 \mathrm{~m}$ (round off t...

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49

GATE Civil 2023 Set 2 | Question: 55
A system of seven river segments is shown in the schematic diagram. The $\mathrm{R}_{\mathrm{i}}$ 's, $\mathrm{Q}_{\mathrm{i}}$ 's, and $\mathrm{C}_{\mathrm{i}}$ 's $(\mathrm{i}=1$ to 7) are the river ... concentration (in $\mathrm{kg} / \mathrm{m}^3$, rounded off to two decimal place) of the pollutant in the river segment $7?$ ___________

A system of seven river segments is shown in the schematic diagram. The $\mathrm{R}_{\mathrm{i}}$ 's, $\mathrm{Q}_{\mathrm{i}}$ 's, and $\mathrm{C}_{\mathrm{i}}$ 's $(\ma...

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50

GATE Civil 2024 Set 2 | GA Question: 10
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is $120^{\circ}$ $60^{\circ}$ $90^{\circ}$ $180^{\circ}$

Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unc...

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Arjun asked Feb 16

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51

GATE Civil 2022 Set 2 | Question: 24
A flood control structure having an expected life of $n$ years is designed by considering a flood of return period $T$ years. When $T = n,$ and $n \rightarrow \infty,$ the structure’s hydrologic risk of failure in percentage is _______________. (round off to one decimal place)

A flood control structure having an expected life of $n$ years is designed by considering a flood of return period $T$ years. When $T = n,$ and $n \rightarrow \infty,$ th...

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52

GATE Civil 2023 Set 2 | Question: 7
Muller-Breslau principle is used in analysis of structures for ___________. drawing an influence line diagram for any force response in the structure writing the virtual work expression to get the equilibrium equation superposing the load ... response in the structure relating the deflection between two points in a member with the curvature diagram in-between

Muller-Breslau principle is used in analysis of structures for ___________.drawing an influence line diagram for any force response in the structure writing the virtual w...

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53

GATE Civil 2023 Set 1 | Question: 8
A possible slope failure is shown in the figure. Three soil samples are taken from different locations $\text{(I, II}$ and $\text{III)}$ of the potential failure plane. Which is the most appropriate shear strength test for each of the sample to identify the failure mechanism? Identify the ... $\text{I-S, II-Q, III-R}$ $\text{I-P, II-R, III-Q}$

A possible slope failure is shown in the figure. Three soil samples are taken from different locations $\text{(I, II}$ and $\text{III)}$ of the potential failure plane. W...

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54

GATE Civil 2022 Set 2 | Question: 26
Consider the polynomial $f(x) = x^{3} - 6x^{2} + 11x - 6$ on the domain $S$ given by $1 \leq x \leq 3.$ The first and second derivatives are $f'(x)$ and $f''(x).$ Consider the following statements: The given polynomial is zero at ... $\text{I}$ and $\text{IV}$ are correct. Only statements $\text{II}$ and $\text{IV}$ are correct.

Consider the polynomial $f(x) = x^{3} – 6x^{2} + 11x – 6$ on the domain $S$ given by $1 \leq x \leq 3.$ The first and second derivatives are $f’(x)$ and $f’’(x)...

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55

GATE Civil 2024 Set 1 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous to [break $\rightarrow$ raze $\_\_\_\_\_\_ $ $\rightarrow$ ] Which one of the given options is appropriate to fill the blank? obfuscate obliterate fracture fissure

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous ...

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56

GATE Civil 2023 Set 2 | Question: 21
The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a temperature of $100{ }^{\circ} \mathrm{C}$ and the other three sides ... $T_{0}$ is _____________ (rounded off to two decimal places).

The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a tempe...

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57

GATE Civil 2023 Set 1 | Question: 4
A singly reinforced concrete beam of balanced section is made of $\text{M20}$ grade concrete and $\text{Fe 415}$ ... $0.0038 $ $0.0020$ and $0.0018$ $0.0035$ and $0.0041$ $0.0020$ and $0.0031$

A singly reinforced concrete beam of balanced section is made of $\text{M20}$ grade concrete and $\text{Fe 415}$ grade steel bars. The magnitudes of the maximum compressi...

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58

GATE Civil 2023 Set 1 | Question: 49
A $12$-hour storm occurs over a catchment and results in a direct runoff depth of $100 \mathrm{~mm}.$ The time-distribution of the rainfall intensity is shown in the figure (not to scale). The $\phi \text {-index}$ of the storm is (in $\mathrm{mm}$, rounded off to two decimal places) ___________________.

A $12$-hour storm occurs over a catchment and results in a direct runoff depth of $100 \mathrm{~mm}.$ The time-distribution of the rainfall intensity is shown in the figu...

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59

GATE Civil 2022 Set 2 | Question: 30
Match the following in $\textbf{Column X}$ with $\textbf{Column Y}:$ ... $\text{(P)-(I), (Q)-(II), (R)-(V), (S)-(VI)}$

Match the following in $\textbf{Column X}$ with $\textbf{Column Y}:$$\begin{array} {|l|l|} \hline \qquad \qquad \qquad \qquad \qquad \textbf{Column X} & \textbf{Column Y}...

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60

GATE Civil 2022 Set 1 | Question: 53
At a traffic intersection, cars and buses arrive randomly according to independent Poisson processes at an average rate of $4$ vehicles per hour and $2$ vehicles per hour, respectively. The probability of observing at least $2$ vehicles in $30$ minutes is ___________________. (round off to two decimal places)

At a traffic intersection, cars and buses arrive randomly according to independent Poisson processes at an average rate of $4$ vehicles per hour and $2$ vehicles per hour...

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61

GATE Civil 2022 Set 2 | Question: 23
In a triaxial unconsolidated undrained $\text{(UU)}$ test on a saturated clay sample, the cell pressure was $100 \; \text{kPa}.$ If the deviatoric stress at failure was $150 \; \text{kPa},$ then the undrained shear strength of the soil is ___________ $\text{kPa}.$ (in integer)

In a triaxial unconsolidated undrained $\text{(UU)}$ test on a saturated clay sample, the cell pressure was $100 \; \text{kPa}.$ If the deviatoric stress at failure was $...

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62

GATE Civil 2023 Set 1 | Question: 48
A vertical trench is excavated in a clayey soil deposit having a surcharge load of $30 \mathrm{~kPa}$. A fluid of unit weight $12 \mathrm{~kN} / \mathrm{m}^3$ is poured in the trench to prevent collapse as the excavation proceeds. ... $\mathrm{m}$, rounded off to two decimal places)?________________

A vertical trench is excavated in a clayey soil deposit having a surcharge load of $30 \mathrm{~kPa}$. A fluid of unit weight $12 \mathrm{~kN} / \mathrm{m}^3$ is poured i...

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63

GATE Civil 2023 Set 2 | Question: 4
A circular solid shaft of span $L=5 \mathrm{~m}$ is fixed at one end and free at the other end. A torque $T=100 \mathrm{~kN}$ ... $\text{Statement i)}$ is wrong, but $\text{Statement ii)}$ is correct Both the statements are wrong

A circular solid shaft of span $L=5 \mathrm{~m}$ is fixed at one end and free at the other end. A torque $T=100 \mathrm{~kN}$.m is applied at the free end. The shear modu...

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64

GATE Civil 2023 Set 1 | Question: 38
For the function $f(x)=e^{x}|\sin x|; x \in \mathbb{R},$ which of the following statements is/are TRUE? The function is continuous at all $x$ The function is differentiable at all $x$ The function is periodic The function is bounded

For the function $f(x)=e^{x}|\sin x|; x \in \mathbb{R},$ which of the following statements is/are TRUE? The function is continuous at all $x$The function is differentiabl...

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65

GATE Civil 2024 Set 2 | GA Question: 2
Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements $1$ and $2$? Only ... $\text{II}$ and $\text{III}$ Only $\text{I}$ and $\text{III}$ Only $\text{III}$

Statements:1. All heroes are winners.2. All winners are lucky people.Inferences:I. All lucky people are heroes.II. Some lucky people are heroes.III. Some winners are hero...

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66

GATE Civil 2023 Set 1 | Question: 45
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about the horizontal axis $(X-X)$ passing through the centroid is _________ (round off to nearest integer).

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about th...

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67

GATE Civil 2022 Set 2 | Question: 25
The base length of the runway at the mean sea level $\text{(MSL)}$ is $1500 \; \text{m}.$ If the runway is located at an altitude of $300 \; \text{m}$ above the $\text{(MSL)},$ the actual length (in $\text{m}$) of the runway to be provided is ____________. (round off to the nearest integer)

The base length of the runway at the mean sea level $\text{(MSL)}$ is $1500 \; \text{m}.$ If the runway is located at an altitude of $300 \; \text{m}$ above the $\text{(M...

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Arjun asked Feb 15, 2022

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68

GATE Civil 2022 Set 2 | Question: 54
It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fine aggregate are $2.6$ and $2.4,$ respectively. The bulk specific gravity of the mix is $2.3.$ The percentage air voids in the mix is _______________. (round off to the nearest integer)

It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fi...

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69

GATE Civil 2022 Set 1 | Question: 6
Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this ... $x = 0, y = 3a$ $x = 2a, y = 2a$ $x = -a, y = 2a$ $x = -2a, y = a$

Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the poi...

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70

GATE Civil 2023 Set 1 | Question: 17
Identify the waterborne diseases caused by viral pathogens: Acute anterior poliomyelitis Cholera Infectious hepatitis Typhoid fever

Identify the waterborne diseases caused by viral pathogens: Acute anterior poliomyelitisCholera Infectious hepatitis Typhoid fever

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71

GATE Civil 2023 Set 1 | Question: 12
The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$ ... $-0^{\circ} 30^{\prime} 00^{\prime \prime}$ $+0^{\circ} 30^{\prime} 00^{\prime \prime}$

The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$, respectiv...

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72

GATE Civil 2022 Set 1 | Question: 19
Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P}{x_{n}} \right ), \:\:\:n = 1, 2, 3, 4, 5$ For ... $P = 10$, the numerical value of $x_{5}$ is ___________________. (round off to three decimal places)

Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $$x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P...

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Arjun asked Feb 15, 2022

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73

GATE Civil 2022 Set 1 | Question: 15
The matrix $M$ is defined as $M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $Q = M^{3} - 4M^{2} - 2M$ which of the following is/are the eigenvalues(s) of matrix $Q$? $15$ $25$ $-20$ $-30$

The matrix $M$ is defined as $$M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $$Q = M^{3} - 4M^{2} - 2M$$...

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74

GATE Civil 2023 Set 2 | Question: 10
Identify the cross-drainage work in the figure. Super passage Aqueduct Siphon aquedut Level crossing

Identify the cross-drainage work in the figure. Super passage Aqueduct Siphon aquedutLevel crossing

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75

GATE Civil 2023 Set 1 | Question: 54
The wastewater inflow to an activated sludge plant is $0.5 \mathrm{~m}^3 / \mathrm{s}$, and the plant is to be operated with a food to microorganism ratio of $0.2 \mathrm{~mg} / \mathrm{mg}-\mathrm{d}$. The concentration of ... organic matter in the tank, the volume of aeration tank (in $\mathrm{m}^3$, in integer) required for the plant is____________.

The wastewater inflow to an activated sludge plant is $0.5 \mathrm{~m}^3 / \mathrm{s}$, and the plant is to be operated with a food to microorganism ratio of $0.2 \mathrm...

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76

GATE Civil 2023 Set 2 | Question: 41
Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE? the Stability decreases initially and then increases the Flow increases monotonically the air voids $(V A)$ increases initially and then decreases the voids filled with bitumen $(V F B)$ increases monotonically

Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?the Stability decreases...

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77

GATE Civil 2023 Set 2 | Question: 53
The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured during a field campaign at the middle of each segment width. The discharge computed by the velocity area ...

The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured d...

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78

GATE Civil 2022 Set 2 | Question: 28
For the square steel beam cross-section shown in the figure, the shape factor about $z - z$ axis is $S$ and the plastic moment capacity is $M_{p}.$ Consider yield stress $f_{y} = 250 \; \text{MPa}$ and $a = 100 \; \text{mm}.$ The values of $S$ and $M_{p}$ (rounded-off to one ... $S = 1.5, M_{p} = 58.9 \; \text{kN-m}$ $S = 1.5, M_{p} = 100.2 \; \text{kN-m}$

For the square steel beam cross-section shown in the figure, the shape factor about $z – z$ axis is $S$ and the plastic moment capacity is $M_{p}.$ Consider yield stres...

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Arjun asked Feb 15, 2022

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79

GATE Civil 2023 Set 2 | Question: 52
A catchment may be idealized as a circle of radius $30 \mathrm{~km}$. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced), as shown in the figure (not to scale). The annual rainfall ... , what is the average rainfall (in $\text{mm,}$ rounded off to two decimal places) over the catchment in that year?___________

A catchment may be idealized as a circle of radius $30 \mathrm{~km}$. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced...

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80

GATE Civil 2023 Set 1 | Question: 15
The following function is defined over the interval $[-L, L]:$ $ f(x)=p x^{4}+q x^{5} .$ ... $q$ $b_{n}, n=1,2, \cdots, \infty$ depend on $p$ $b_{n}, n=1,2, \cdots, \infty$ depend on $q$

The following function is defined over the interval $[-L, L]:$ $$ f(x)=p x^{4}+q x^{5} .$$If it is expressed as a Fourier series, $$f(x)=a_{0}+\sum_{n=1}^{\infty}\left\{a...

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