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Previous year question hub

Calculus - Engineering Mathematics - Electrical Engineering Previous Year Questions

Practice Calculus - Engineering Mathematics - Electrical Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

25Papers
18Years
92Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 66 71.7%
Medium 26 28.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 69 75%
Numerical Answer Type (NAT) 17 18.5%
MSQ 6 6.5%

Subject weightage

Top subjects by unique question coverage.

Electrical Engineering
92 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
92 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
92 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Electrical Engineering (EE) 2025
1 Qs
Electrical Engineering (EE) 2024
3 Qs
Electrical Engineering (EE) 2023
3 Qs
Electrical Engineering (EE) 2022
3 Qs
Electrical Engineering (EE) 2021
3 Qs
Electrical Engineering (EE) 2020
5 Qs
Electrical Engineering (EE) 2019
3 Qs
Electrical Engineering (EE) 2018
5 Qs
Electrical Engineering (EE) 2017 [Session 2]
4 Qs
Electrical Engineering (EE) 2017 [Session 1]
3 Qs
Electrical Engineering (EE) 2016 [Session 1]
2 Qs
Electrical Engineering (EE) 2016 [Session 2]
1 Qs
Electrical Engineering (EE) 2014 [Session 2]
3 Qs
Electrical Engineering (EE) 2014 [Session 1]
2 Qs
Electrical Engineering (EE) 2014 [Session 3]
1 Qs
Electrical Engineering (EE) 2013 [Session 1]
8 Qs
Electrical Engineering (EE) 2013 [Session 2]
7 Qs
Electrical Engineering (EE) 2013 [Session 3]
6 Qs
Electrical Engineering (EE) 2013 [Session 4]
6 Qs
Electrical Engineering (EE) 2012
4 Qs
Electrical Engineering (EE) 2011
6 Qs
Electrical Engineering (EE) 2010
4 Qs
Electrical Engineering (EE) 2009
4 Qs
Electrical Engineering (EE) 2008
3 Qs
Electrical Engineering (EE) 2007
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Electrical Engineering (EE) 202520251View paper
Electrical Engineering (EE) 202420243View paper
Electrical Engineering (EE) 202320233View paper
Electrical Engineering (EE) 202220223View paper
Electrical Engineering (EE) 202120213View paper
Electrical Engineering (EE) 202020205View paper
Electrical Engineering (EE) 201920193View paper
Electrical Engineering (EE) 201820185View paper
Electrical Engineering (EE) 2017 [Session 1]20173View paper
Electrical Engineering (EE) 2017 [Session 2]20174View paper
Electrical Engineering (EE) 2016 [Session 1]20162View paper
Electrical Engineering (EE) 2016 [Session 2]20161View paper
Electrical Engineering (EE) 2014 [Session 1]20142View paper
Electrical Engineering (EE) 2014 [Session 2]20143View paper
Electrical Engineering (EE) 2014 [Session 3]20141View paper
Electrical Engineering (EE) 2013 [Session 1]20138View paper
Electrical Engineering (EE) 2013 [Session 2]20137View paper
Electrical Engineering (EE) 2013 [Session 3]20136View paper
Electrical Engineering (EE) 2013 [Session 4]20136View paper
Electrical Engineering (EE) 201220124View paper
Electrical Engineering (EE) 201120116View paper
Electrical Engineering (EE) 201020104View paper
Electrical Engineering (EE) 200920094View paper
Electrical Engineering (EE) 200820083View paper
Electrical Engineering (EE) 200720072View paper

All Calculus previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2007
Divergence of the vector field \(V(x,y,z) = -(x \cos xy + y)\mathbf{i} + (y \cos xy)\mathbf{j} + (\sin z^2 + x^2 + y^2)\mathbf{k}\) is
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2
2007 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2007
The integral \(\frac{1}{2\pi}\int_{0}^{2\pi} \sin(t-\tau)\cos\tau d\tau\) equals
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3
2008 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2008
Consider function \( f(x) = (x^2 - 4)^2 \) where \( x \) is a real number. Then the function has
Open complete paper
4
2008 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2008
Equation \( e^x - 1 = 0 \) is required to be solved using Newton’s method with an initial guess \( x_0 = -1 \). Then, after one step of Newton’s method, estimate \( x_1 \) of the solution will be given by
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5
2008 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2008
A differential equation \( \frac{dx}{dt} = e^{-2t} u(t) \) has to be solved using trapezoidal rule of integration with a step size h=0.01 s. Function \( u(t) \) indicates a unit step function. If \( x(0-) = 0 \), then value of \( x \) at \( t=0.01 \) s will be given by:
Open complete paper
6
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009
\( f(x,y) \) is a continuous function defined over \( (x,y) \in [0,1] \times [0,1] \). Given the two constraints, \( x > y^2 \) and \( y > x^2 \), the volume under \( f(x,y) \) is
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7
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009

A cubic polynomial with real coefficients

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8
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009
Let \( x^2 - 117 = 0 \). The iterative steps for the solution using Newton-Raphson's method is given by
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9
2009 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2009
\( \mathbf{F}(x,y) = (x^2 + xy) \hat{a}_x + (y^2 + xy) \hat{a}_y \). It's line integral over the straight line from \( (x,y) = (0,2) \) to \( (x,y) = (2,0) \) evaluates to
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10
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010
The value of the quantity P, where \( P = \int_{0}^{1} x e^{x} dx \), is equal to
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11
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010
At t = 0, the function f(t) = \frac{\sin t}{t} has
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12
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

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13
2010 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2010

If 137 + 276 = 435 how much is 731 + 672?

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14
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
Solution of the variables \(x_1\) and \(x_2\) for the following equations is to be obtained by employing the Newton-Raphson iterative method.
equation (i) \(10x_2 \sin x_1 - 0.8 = 0\)
equation (ii) \(10x_2^2 - 10x_2 \cos x_1 - 0.6 = 0\)
Assuming the initial values \(x_1 = 0.0\) and \(x_2 = 1.0\), the Jacobian matrix is
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15
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
The function \(f(x) = 2x - x^2 + 3\) has
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16
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
The sum of n terms of the series 4+44+444+.... is
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17
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.
The distances covered during four laps of the journey are listed in the table below
LapDistance (kilometres)Average speed (kilometres per hour)
P1515
Q7545
R4075
S1010
From the given data, we can conclude that the fuel consumed per kilometre was least during the lap
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18
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?
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19
2011 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2011
Given that f(y) = | y | / y , and q is any non-zero real number, the value of | f(q) - f(-q) | is
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20
2012 · Electrical Engineering · Engineering Mathematics · Calculus
Electrical Engineering (EE) 2012
The maximum value of f(x) = x^3 - 9x^2 + 24x + 5 in the interval [1, 6] is
(A) 21
(B) 25
(C) 41
(D) 46
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Showing 20 of 85 questions