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Webpage for Calculus:
Recent questions tagged calculus
0
votes
1
answer
121
Mathematics for Natural Science
Simplify $(A\cup B)\cap (A\cup B')\cap (A - B)$ for a given non empty sets $A$ and $B$, where $(A\cap B) = \varnothing .$
kidussss
asked
in
Combinatory
Jul 29, 2022
by
kidussss
231
views
discrete-mathematics
mathematical-logic
calculus
set-theory
1
vote
2
answers
122
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 8, 2022
by
kidussss
779
views
limits
calculus
0
votes
1
answer
123
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
306
views
calculus
differentiation
0
votes
2
answers
124
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
427
views
calculus
limits
0
votes
3
answers
125
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
kidussss
asked
in
Calculus
Jul 7, 2022
by
kidussss
436
views
calculus
differentiation
0
votes
0
answers
126
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
294
views
calculus
1
vote
2
answers
127
No of solution of the given equation
The Number of Points $x \in \Re$ for which $\sin ^{2} x-3x=5$ is , 0 1 more than one but finite $\infty$
Kabir5454
asked
in
Mathematical Logic
May 15, 2022
by
Kabir5454
270
views
nptel-quiz
calculus
1
vote
1
answer
128
NIELIT 2022 April Scientist B | Section B | Question: 88
The secant method formula for finding the square root of a real number $\text{R}$ from the equation $x^{2} - \text{R} = 0$ is: $x_{i+1} = \frac{x_{i}.x_{i-1}}{x_{i} + x_{i+1}}$ $x_{i+1} = \frac{x_{i}.x_{i-1} + \text{R}}{x_{i} + x_{i-1}}$ ... $x_{i+1} = \frac{2x_{i}^{2} + x_{i}.x_{i-1} - \text{R}}{x_{i} + x_{i-1}}$
soujanyareddy13
asked
in
Others
Apr 12, 2022
by
soujanyareddy13
1.0k
views
nielit2022apr-scientistb
calculus
9
votes
4
answers
129
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
6.2k
views
gatecse-2022
numerical-answers
calculus
limits
1-mark
0
votes
0
answers
130
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 13, 2022
by
AlgoHuman
265
views
calculus
engineering-mathematics
maxima-minima
0
votes
2
answers
131
Calculus self doubt
Calculus looks difficult for me. Any resources to learn calculus for GATE
kabilan45
asked
in
Calculus
Nov 25, 2021
by
kabilan45
500
views
engineering-mathematics
calculus
self-doubt
0
votes
0
answers
132
Applied Test Series
What is the correct procedure to solve this limit ?
LRU
asked
in
Calculus
Nov 5, 2021
by
LRU
316
views
test-series
engineering-mathematics
calculus
limits
4
votes
1
answer
133
GATE CSE 1995 | Question: 7(B)
Compute without using power series expansion $\displaystyle \lim_{x \to 0} \frac{\sin x}{x}.$
admin
asked
in
Calculus
Apr 25, 2021
by
admin
1.4k
views
gate1995
calculus
limits
numerical-answers
1
vote
0
answers
134
TIFR CSE 2021 | Part A | Question: 8
Consider the sequence $y_{n}=\frac{1}{\int_{1}^{n}\frac{1}{\left ( 1+x/n \right )^{3}}dx}$ for $\text{n} = 2,3,4, \dots$ Which of the following is $\text{TRUE}$? The sequence $\{y_{n}\}$ does not have a limit as $n\rightarrow \infty$ ... and is equal to $0$. The sequence $\{y_{n}\}$ first increases and then decreases as $\text{n}$ takes values $2, 3, 4, \dots$
soujanyareddy13
asked
in
Calculus
Mar 25, 2021
by
soujanyareddy13
349
views
tifr2021
calculus
limits
16
votes
3
answers
135
GATE CSE 2021 Set 2 | Question: 25
Suppose that $f: \mathbb{R} \rightarrow \mathbb{R}$ is a continuous function on the interval $[-3, 3]$ and a differentiable function in the interval $(-3,3)$ such that for every $x$ in the interval, $f’(x) \leq 2$. If $f(-3)=7$, then $f(3)$ is at most __________
Arjun
asked
in
Calculus
Feb 18, 2021
by
Arjun
6.1k
views
gatecse-2021-set2
numerical-answers
calculus
continuity
1-mark
4
votes
2
answers
136
GATE CSE 2021 Set 1 | Question: 20
Consider the following expression.$\displaystyle \lim_{x\rightarrow-3}\frac{\sqrt{2x+22}-4}{x+3}$The value of the above expression (rounded to 2 decimal places) is ___________.
Arjun
asked
in
Calculus
Feb 18, 2021
by
Arjun
6.3k
views
gatecse-2021-set1
calculus
limits
numerical-answers
1-mark
0
votes
0
answers
137
TIFR-2016-Maths-A: 4
Let $f:\mathbb{R}\rightarrow \mathbb{R}$ be the function defined by $f\left ( x \right )=\frac{\sin \: x}{\left | x \right |+\cos \: x}$. Then $f$ is differentiable at all $x\in\mathbb{R}$ $f$ is not differentiable at $x=0$ $f$ is differentiable at $x=0$ but ${f}'$ is not continuous at $x=0$ $f$ is not differentiable at $x=\frac{\pi }{2}.$
soujanyareddy13
asked
in
Others
Aug 30, 2020
by
soujanyareddy13
169
views
tifrmaths2016
differentiation
calculus
0
votes
0
answers
138
TIFR-2018-Maths-A: 5
True/False Question : The function $f\left ( x \right )=cos\left ( e^{x} \right )$ is not uniformly continuous on $\mathbb{R}$.
soujanyareddy13
asked
in
Calculus
Aug 29, 2020
by
soujanyareddy13
201
views
tifrmaths2018
true-false
calculus
continuity
3
votes
2
answers
139
NIELIT 2016 MAR Scientist C - Section B: 2
The function $f(x)=x^{5}-5x^{4}+5x^{3}-1$ has one minima and two maxima two minima and one maxima two minima and two maxima one minima and one maxima
admin
asked
in
Calculus
Apr 2, 2020
by
admin
714
views
nielit2016mar-scientistc
calculus
maxima-minima
2
votes
1
answer
140
NIELIT 2016 MAR Scientist C - Section B: 10
$\underset{x \rightarrow 0}{\lim} \dfrac{x^{3}+x^{2}-5x-2}{2x^{3}-7x^{2}+4x+4}=?$ $-0.5$ $(0.5)$ $\infty$ None of the above
admin
asked
in
Calculus
Apr 2, 2020
by
admin
430
views
nielit2016mar-scientistc
engineering-mathematics
calculus
limits
1
vote
1
answer
141
NIELIT 2016 MAR Scientist C - Section B: 11
$\displaystyle \int_{0}^{\dfrac{\pi}{2}} \sin^{7}\theta \cos ^{4} \theta d\theta=?$ $16/1155$ $16/385$ $16\pi/385$ $8\pi/385$
admin
asked
in
Calculus
Apr 2, 2020
by
admin
340
views
nielit2016mar-scientistc
engineering-mathematics
calculus
definite-integral
1
vote
0
answers
142
NIELIT 2016 MAR Scientist C - Section B: 12
$\displaystyle \lim_{x \rightarrow a}\frac{1}{x^{2}-a^{2}} \displaystyle \int_{a}^{x}\sin (t^{2})dt=$? $2a \sin (a^{2})$ $2a$ $\sin (a^{2})$ None of the above
admin
asked
in
Calculus
Apr 2, 2020
by
admin
311
views
nielit2016mar-scientistc
engineering-mathematics
calculus
1
vote
2
answers
143
NIELIT 2016 MAR Scientist C - Section B: 13
$\displaystyle \lim_{x \rightarrow 0}\frac{1}{x^{6}} \displaystyle \int_{0}^{x^{2}}\frac{t^{2}dt}{t^{6}+1}=$? $1/4$ $1/3$ $1/2$ $1$
admin
asked
in
Calculus
Apr 2, 2020
by
admin
400
views
nielit2016mar-scientistc
calculus
1
vote
1
answer
144
NIELIT 2016 MAR Scientist C - Section B: 17
A ladder $13$ feet long rests against the side of a house. The bottom of the ladder slides away from the house at a rate of $0.5$ ft/s. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is $5$ ... $-\dfrac{5}{24} \text {ft/s} \\$ $-\dfrac{5}{12} \text{ ft/s}$
admin
asked
in
Calculus
Apr 2, 2020
by
admin
401
views
nielit2016mar-scientistc
engineering-mathematics
calculus
2
votes
1
answer
145
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 18
What is the maximum value of the function $f(x) = 2x^{2} – 2x + 6$ in the interval $[0,2]?$ $6$ $10$ $12$ $5,5$
admin
asked
in
Calculus
Apr 1, 2020
by
admin
626
views
nielit2017oct-assistanta-cs
engineering-mathematics
calculus
maxima-minima
0
votes
1
answer
146
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 19
The value of the Integral $I = \displaystyle{}\int_{0}^{\pi/2} x^{2}\sin x dx$ is $(x+2)/2$ $2/(\pi-2)$ $\pi – 2$ $\pi + 2$
admin
asked
in
Calculus
Apr 1, 2020
by
admin
462
views
nielit2017oct-assistanta-cs
engineering-mathematics
calculus
definite-integral
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