Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Recent questions and answers in Calculus
0
votes
1
answer
1
Mathematics for Natural Science
Determine the domain of the function $f(x) = |x – 2|$
Amartya007
answered
in
Calculus
Mar 13
by
Amartya007
106
views
calculus
0
votes
1
answer
2
Maths for natural science
Determine the domain of the function $f(x)=\left | x \right |+1$
Amartya007
answered
in
Calculus
Mar 13
by
Amartya007
133
views
calculus
functions
2
votes
1
answer
3
#Made Easy
Find the value of $\lim_{x \rightarrow 0 } \dfrac{x \tan2x - 2x\tan x}{(1-\cos 2x)^2} \rule{1 in}{.5 pt}.$
Amartya007
answered
in
Calculus
Mar 12
by
Amartya007
151
views
calculus
limits
1
vote
1
answer
4
ISI2015-MMA-81
If $f$ is continuous in $[0,1]$ then $\displaystyle \lim_ {n \to \infty} \sum_{j=0}^{[n/2]} \frac{1}{n} f \left(\frac{j}{n} \right)$ (where $[y]$ is the largest integer less than or equal to $y$) does not exist exists and is equal to $\frac{1}{2} \int_0^1 f(x) dx$ exists and is equal to $ \int_0^1 f(x) dx$ exists and is equal to $\int_0^{1/2} f(x) dx$
KAUNIL
answered
in
Calculus
Mar 10
by
KAUNIL
244
views
isi2015-mma
limits
definite-integral
non-gate
0
votes
1
answer
5
ISI2015-MMA-73
$f(x)$ is a differentiable function on the real line such that $\underset{x \to \infty=}{\lim} f(x) =1$ and $\underset{x \to \infty=}{\lim} f’(x) =\alpha$. Then $\alpha$ must be $0$ $\alpha$ need not be $0$, but $\mid \alpha \mid <1$ $\alpha >1$ $\alpha < -1$
KAUNIL
answered
in
Calculus
Mar 9
by
KAUNIL
285
views
isi2015-mma
calculus
limits
differentiation
0
votes
2
answers
6
limits
the value of $lim_{x-> 0}(1-sinx.cosx)^{cosec2x}$ is: A $e^{2}$ B $e^{-2}$ C$e^{1/2}$ D $e^{-1/2}$
wizard_2004
answered
in
Calculus
Mar 4
by
wizard_2004
130
views
limits
1
vote
2
answers
7
GATE CSE 2023 | Question: 21
The value of the definite integral \[ \int_{-3}^{3} \int_{-2}^{2} \int_{-1}^{1}\left(4 x^{2} y-z^{3}\right) \mathrm{d} z \mathrm{~d} y \mathrm{~d} x \] is _________. (Rounded off to the nearest integer)
ankitgupta.1729
answered
in
Calculus
Feb 16
by
ankitgupta.1729
797
views
gatecse-2023
calculus
definite-integral
numerical-answers
1-mark
2
votes
2
answers
8
GATE CSE 2023 | Question: 18
Let $\qquad f(x)=x^{3}+15 x^{2}-33 x-36$ be a real-valued function. Which of the following statements is/are $\text{TRUE}?$ $f(x)$ does not have a local maximum. $f(x)$ has a local maximum. $f(x)$ does not have a local minimum. $f(x)$ has a local minimum.
Hira Thakur
answered
in
Calculus
Feb 16
by
Hira Thakur
819
views
gatecse-2023
calculus
maxima-minima
multiple-selects
1-mark
0
votes
2
answers
9
GATE CSE 2023 | Memory Based Question: 11
Let $f(x)=x^3+15 x^2-33 x-36$ be a real valued function. Which statement is/are TRUE? $f(x)$ has a local maximum. $f(x)$ does NOT have a local maximum. $f(x)$ has a local minimum. $f(x)$ does NOT have a local minimum.
closed
ankitgupta.1729
answered
in
Calculus
Feb 8
by
ankitgupta.1729
433
views
memorybased-gatecse2023
goclasses
calculus
maxima-minima
1
vote
0
answers
10
DRDO CSE 2022 Paper 1 | Question: 4
Let the function $f(x)$ be defined as follows. \[f(x)=\left\{\begin{array}{ll} x^{2} & x \leq 1 \\ 2 a x^{2}+bx + c & 1 < x \leq 2 \\ x + 2d & x>1 \end{array}\right.\] Find the values of $a, b, c$ and $d$ such that $f$ is continuous and differentiable everywhere.
admin
asked
in
Calculus
Dec 15, 2022
by
admin
42
views
drdocse-2022-paper1
calculus
continuity-and-differentiability
5-marks
descriptive
3
votes
2
answers
11
TIFR-2011-Maths-A-25
The function $f(x) = \begin{cases} 0 & \text{if x is rational} \\ x& \text{if x is irrational} \end{cases}$ is not continuous anywhere on the real line.
Keval ahir
answered
in
Calculus
Oct 22, 2022
by
Keval ahir
428
views
tifrmaths2011
calculus
continuity
0
votes
0
answers
12
[email protected]
2022 Test Series
Answer -3.7
SKMAKM
asked
in
Calculus
Oct 22, 2022
by
SKMAKM
171
views
zeal
test-series
numerical-answers
1
vote
2
answers
13
TIFR-2011-Maths-A-2
$\lim_{x \rightarrow 0} \sin \left(1/x^{2}\right)$ equals. $1$ $0$ $\infty$ Oscillates
Keval ahir
answered
in
Calculus
Oct 20, 2022
by
Keval ahir
370
views
tifrmaths2011
calculus
limits
0
votes
0
answers
14
Internet
For f(x)=√x x€[0,b] the number c satisfying mean value therom is c=1
Katyayani0306
asked
in
Calculus
Sep 21, 2022
by
Katyayani0306
123
views
continuity
calculus
1
vote
3
answers
15
ISRO2006-ECE calculus
shuham kumar
answered
in
Calculus
Sep 20, 2022
by
shuham kumar
436
views
isro-ece
engineering-mathematics
calculus
integration
0
votes
2
answers
16
ISRO 2009-ECE Engineering Mathematics
There is a function f(x), such that f(0) = 1 and f ' (0)= -1 and f(x) is positive for all values of x. Then, a) f"(x) < 0 for all x b) -1 < f'' (x) < 0 for all x c) -2 < f '' (x) < -1 for all x d) None of the above
shuham kumar
answered
in
Calculus
Sep 20, 2022
by
shuham kumar
284
views
isro-ece
engineering-mathematics
calculus
3
votes
1
answer
17
Calculus
It should be 1 and 3 ?? please correct me if I'm wrong.
shuham kumar
answered
in
Calculus
Sep 20, 2022
by
shuham kumar
701
views
engineering-mathematics
calculus
2
votes
1
answer
18
Continuity and Differentiability of root mod function
1) Consider f(x) = $|x|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 2) Consider f(x) = $|x-1|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 3) Find the value of $f(x) = \int_{-2}^{2}|1-x^4|dx$. I am getting 8/5, but answer is 12.
shuham kumar
answered
in
Calculus
Sep 20, 2022
by
shuham kumar
738
views
limits
continuity
function
calculus
1
vote
2
answers
19
NIELIT 2016 MAR Scientist B - Section B: 5
The greatest and the least value of $f(x)=x^4-8x^3+22x^2-24x+1$ in $[0,2]$ are $0,8$ $0,-8$ $1,8$ $1,-8$
neel19
answered
in
Calculus
Sep 16, 2022
by
neel19
420
views
nielit2016mar-scientistb
engineering-mathematics
calculus
maxima-minima
1
vote
2
answers
20
GATE Overflow | Mock GATE | Test 1 | Question: 19
Evaluate the limit: $ \lim_{x \to -3} \frac{\sqrt{2x+22}-4}{x+3}$ $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$
MANSI_SOMANI
answered
in
Calculus
Sep 13, 2022
by
MANSI_SOMANI
766
views
go-mockgate-1
limits
calculus
0
votes
0
answers
21
TIFR CSE 2022 | Part A | Question: 6
Let $f$ be a polynomial of degree $n \geq 3$ all of whose roots are non-positive real numbers. Suppose that $f(1)=1$. What is the maximum possible value of $f^{\prime}(1)?$ $1$ $n$ $n+1$ $\frac{n(n+1)}{2}$ $f^{\prime}(1)$ can be arbitrarily large given only the constraints in the question
Lakshman Patel RJIT
asked
in
Calculus
Sep 1, 2022
by
Lakshman Patel RJIT
139
views
tifr2022
calculus
maxima-minima
0
votes
0
answers
22
TIFR CSE 2022 | Part A | Question: 14
Suppose $w(t)=4 e^{i t}, x(t)=3 e^{i(t+\pi / 3)}, y(t)=3 e^{i(t-\pi / 3)}$ and $z(t)=3 e^{i(t+\pi)}$ are points that move in the complex plane as the time $t$ varies in $(-\infty, \infty)$. Let $c(t)$ ... $\frac{1}{2 \pi}$ $2 \pi$ $\sqrt{3} \pi$ $\frac{1}{\sqrt{3} \pi}$ $1$
Lakshman Patel RJIT
asked
in
Calculus
Sep 1, 2022
by
Lakshman Patel RJIT
119
views
tifr2022
calculus
differentiation
1
vote
0
answers
23
Engineering Mathematics
Please verify the solution(the differentiation part ),
Overflow04
asked
in
Calculus
Aug 21, 2022
by
Overflow04
201
views
calculus
ace-test-series
0
votes
0
answers
24
Mathematics for Natural Science
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$
kidussss
asked
in
Calculus
Jul 29, 2022
by
kidussss
158
views
calculus
1
vote
2
answers
25
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
kidussss
asked
in
Calculus
Jul 9, 2022
by
kidussss
406
views
limits
calculus
0
votes
1
answer
26
Applied Mathematics Derivative
Please find derivation of the following equation. Let $f(x)=e^{x^{2}}\ln x,$ then find, ${f}'(x)$.
kidussss
asked
in
Calculus
Jul 8, 2022
by
kidussss
149
views
calculus
differentiation
0
votes
2
answers
27
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$
kidussss
asked
in
Calculus
Jul 8, 2022
by
kidussss
175
views
calculus
limits
0
votes
2
answers
28
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
kidussss
asked
in
Calculus
Jul 8, 2022
by
kidussss
172
views
calculus
differentiation
0
votes
0
answers
29
iit kanpur Calculas practice question
Does there exist a differentiable function f : [0, 2] → R satisfying f(0) = −1, f(2) = 4 and f’(x) ≤ 2 for all x ∈ [0, 2]?
Kabir5454
asked
in
Calculus
May 16, 2022
by
Kabir5454
137
views
calculus
0
votes
1
answer
30
Calculus by Spivak 4th edition Chapter 10 problem 9
AngshukN
asked
in
Calculus
May 3, 2022
by
AngshukN
126
views
1
vote
0
answers
31
#ISI2021
Let f(x-y) = $\frac{f(x)}{f(y)}$ for all x,y $\epsilon$ R and f’(0) = p, f’(5) = q. Then the value of f’(-5) is q -q $\frac{p}{q}$ $\frac{p^2}{q}$
Jeetu Bhaiya
asked
in
Calculus
Feb 24, 2022
by
Jeetu Bhaiya
144
views
7
votes
4
answers
32
GATE CSE 2022 | Question: 24
The value of the following limit is ________________. $\lim_{x \rightarrow 0^{+}} \frac{\sqrt{x}}{1-e^{2\sqrt{x}}}$
Arjun
asked
in
Calculus
Feb 15, 2022
by
Arjun
2.6k
views
gatecse-2022
numerical-answers
calculus
limits
1-mark
0
votes
0
answers
33
Global and Local Minimum
Suppose that we have an objective function X ⊆ R^n → R and Y ⊂ X. Which of the following are correct: Every global minimizer of f in X is global minimizer in Y Every local minimizer of f in Y is local minimizer in X My answer is that 1) and 2) are correct. I want to check if my answers are correct or we can prove something other with some example.
AlgoHuman
asked
in
Calculus
Feb 14, 2022
by
AlgoHuman
160
views
calculus
engineering-mathematics
maxima-minima
0
votes
1
answer
34
Made Easy Full length Test
Options Given were: (pi)/2 pi -(pi) none
Sagar475
asked
in
Calculus
Jan 24, 2022
by
Sagar475
209
views
1
vote
1
answer
35
Made Easy Test Series Engineering Maths
Dear Friends can any body tell me limit exists at 1 or not? as According to me the limit exists at 1 as both gives -1 at 1 but in madeeasy it’s given that the limit doesn’t exists...
Sagar475
asked
in
Calculus
Jan 18, 2022
by
Sagar475
202
views
0
votes
2
answers
36
Calculus self doubt
Calculus looks difficult for me. Any resources to learn calculus for GATE
kabilan45
asked
in
Calculus
Nov 25, 2021
by
kabilan45
282
views
engineering-mathematics
calculus
self-doubt
0
votes
0
answers
37
Applied Test Series
What is the correct procedure to solve this limit ?
LRU
asked
in
Calculus
Nov 5, 2021
by
LRU
203
views
test-series
engineering-mathematics
calculus
limits
0
votes
0
answers
38
math book
$\int_{0}^{1}\tan^{-1} (1-\frac{1}{x})$ d(x) find
amit166
asked
in
Calculus
Sep 25, 2021
by
amit166
197
views
integration
0
votes
1
answer
39
#mathematics
What is the difference between Integration and Summation? Which one produces a greater value in the same range?
Crackca
asked
in
Calculus
Sep 14, 2021
by
Crackca
146
views
integration
2
votes
0
answers
40
#calculus #limits
$\lim_{x\rightarrow a} f(x)^{g(x)} = e^{\lim_{x\rightarrow a}g(x)[f(x)-1]}$ Solve the below limit without using the above formula, $\lim_{x \rightarrow 0} ({\frac{sin x}{x}})^{\frac{sin x}{x - sin x}}$
dutta007sourish
asked
in
Calculus
Sep 7, 2021
by
dutta007sourish
195
views
To see more, click for all the
questions in this category
.
Subscribe to GATE CSE 2023 Test Series
Subscribe to GO Classes for GATE CSE 2023
Quick search syntax
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
Recent Posts
Central Pollution Control Board CPCB Various Post Recruitment 2023
MP Rajya Sahkari Apex Bank Various Post Recruitment 2023
NITIE MUMBAI throgh GATE
PGCIL recruitment 2023 – Apply Online For 138 Posts through GATE
Admission guidance for GATE CSE 2023
Subjects
All categories
General Aptitude
(2.6k)
Engineering Mathematics
(9.4k)
Discrete Mathematics
(6.5k)
Probability
(1.2k)
Linear Algebra
(909)
Calculus
(717)
Digital Logic
(3.3k)
Programming and DS
(5.9k)
Algorithms
(4.6k)
Theory of Computation
(6.7k)
Compiler Design
(2.3k)
Operating System
(5.0k)
Databases
(4.6k)
CO and Architecture
(3.8k)
Computer Networks
(4.7k)
Non GATE
(1.3k)
Others
(2.5k)
Admissions
(655)
Exam Queries
(847)
Tier 1 Placement Questions
(17)
Job Queries
(77)
Projects
(9)
Unknown Category
(866)
Recent questions and answers in Calculus
Recent Blog Comments
Please see the updated link.
Unfortunately there won't be a hardcopy coming...
this book is not available on amazon now, i want...
Yes
Hi! @AnkitMazumder14 bhaiya,Is python...