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Recent questions tagged calculus
Webpage for Calculus:
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1
calculus
what is difference between this and in questions if asked to find derivative or check differentiable or not, which formula should i use? 1) $lim_{h\rightarrow 0} \frac{f(a+h)f(a)}{h}$ 2) $lim_{x\rightarrow a} \frac{f(x)f(a)}{xa}$
asked
6 days
ago
in
Calculus
by
Rahul_Rathod_
(
381
points)

14
views
limits
calculus
0
votes
0
answers
2
S is increasing function or not?
Consider the following statements. S1: f(x) = x5 + 3x  1 is an increasing function for all values of x. S2: f(x) = 1x3x9 is decreasing function for all values of x where x 0. Which of the above statements are TRUE. AS1 only BS2 only CBoth S1 and S2 DNeither S1 nor S2
asked
Sep 15
in
Mathematical Logic
by
bts1jimin
(
67
points)

17
views
engineeringmathematics
functions
calculus
0
votes
0
answers
3
Maths: Limit question
Lim n>infinity (n*2^n)/e^n Detailed solution please?
asked
Sep 14
in
Mathematical Logic
by
chauhansunil20th
(
209
points)

15
views
limits
calculus
engineeringmathematics
+1
vote
1
answer
4
Finding Maxima Minima
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____
asked
Jul 19
in
Calculus
by
srestha
Veteran
(
96k
points)

90
views
engineeringmathematics
maximaminima
calculus
0
votes
1
answer
5
CalculusSelf Doubt
Is the function $f(x)=\frac{1}{x^{\frac{1}{3}}}$ continous in the interval [1 0) ?
asked
Jul 17
in
Calculus
by
Ayush Upadhyaya
Boss
(
12.5k
points)

74
views
engineeringmathematics
calculus
continuity
0
votes
0
answers
6
Differentiable
Why is a function not differentiable at x=k when f'(x) limits to infinity? Limit can be infinite too?
asked
Jun 25
in
Mathematical Logic
by
bts
(
149
points)

30
views
calculus
differentiability
continuity
engineeringmathematics
0
votes
1
answer
7
Derivative
What is the derivative of the following function at x=0? F(x)= x ^(1/3)
asked
Jun 25
in
Mathematical Logic
by
bts
(
149
points)

30
views
engineeringmathematics
calculus
0
votes
0
answers
8
ISI 2014 MMA  5
asked
Jun 12
in
Calculus
by
Sammohan Ganguly
(
435
points)

59
views
userisi2014
usermod
calculus
engineeringmathematics
0
votes
1
answer
9
ISI 2014 MMA 7
asked
Jun 12
in
Calculus
by
Sammohan Ganguly
(
435
points)

65
views
userisi2014
usermod
calculus
engineeringmathematics
0
votes
1
answer
10
Definite Integral
S = $\int_{0}^{2\Pi } \sqrt{4cos^{2}t +sin^{2}t} \, \, dt$ Please explain how to solve it.
asked
Jun 11
in
Calculus
by
ankitgupta.1729
Loyal
(
7.2k
points)

99
views
calculus
integration
engineeringmathematics
integrals
+1
vote
1
answer
11
Limit
Puzzle $\lim_{y\rightarrow \alpha }\left (y\left ( y^{2}+y \right )^{\frac{1}{2}}\right )$
asked
May 30
in
Calculus
by
srestha
Veteran
(
96k
points)

97
views
limits
calculus
engineeringmathematics
0
votes
0
answers
12
Limits
$\displaystyle\lim_{x \to 0} \left[ \dfrac{log(1+x)}{x} \right] ^{\dfrac{1}{x}} $
asked
May 29
in
Mathematical Logic
by
Nymeria
(
425
points)

63
views
engineeringmathematics
calculus
limits
+2
votes
2
answers
13
Limit
Is answer will be 1 or 5? $\lim_{x\rightarrow \alpha }\left ( \frac{x+6}{x+1} \right )^{x+4}$
asked
May 26
in
Calculus
by
srestha
Veteran
(
96k
points)

115
views
limits
calculus
engineeringmathematics
0
votes
1
answer
14
Regarding Preparation
I know this question has been asked many times, but yeah. I am weak in calculus and linear algebra and have never studied probability properly. Now according to internet suggestions, I should read Kreyzig or BS Grewal, but I will most probably want ... time for GATE 2019 should i watch lectures of Gilbert Strang, Stats 110 and calculus textbook, or should i stick to kreyzig?
asked
May 11
in
Calculus
by
mohitjarvissharma
(
351
points)

86
views
engineeringmathematics
calculus
linearalgebra
probability
preparation
+1
vote
1
answer
15
IIT M MS Question
Since given increasing,so $N'(t)>0$ but what will be $N''(t)$ for the slow rate part?
asked
May 7
in
Calculus
by
Sourajit25
Junior
(
959
points)

56
views
calculus
maximaminima
functions
+1
vote
2
answers
16
How Ans. A is correct
At x = 0, the function f(x)=x has (A) a minimum (B) a maximum (C) a point of inflection (D) neither a maximum nor minimum
asked
May 7
in
Calculus
by
Karan Dodwani
(
53
points)

67
views
maximaminima
engineeringmathematics
calculus
usergate2019
usermod
0
votes
1
answer
17
Mean Value Theorem ( Lagrange's), How to take Domain in this type of questions?)
asked
Apr 30
in
Calculus
by
Karan Dodwani
(
53
points)

59
views
meanvaluetheorem
engineeringmathematics
calculus
lagranges
0
votes
3
answers
18
Integration
$\int \left ( \sin\theta \right )^{\frac{1}{2}}d\theta$
asked
Apr 24
in
Calculus
by
srestha
Veteran
(
96k
points)

96
views
calculus
integration
0
votes
0
answers
19
ISI2017MMA25
For a,b $\in \mathbb{R}$ and b > a , the maximum possible value of the integral $\int_{a}^{b}(7xx^{2}10)dx$ is $\frac{7}{2}$ $\frac{9}{2}$ $\frac{11}{2}$ none of these
asked
Apr 24
in
Calculus
by
Tesla!
Boss
(
16.6k
points)

89
views
isi2017mma
calculus
0
votes
0
answers
20
Calculus Integration
$\int_{3}^{7}((x3)(7x))^{\frac{1}{4}}$
asked
Apr 24
in
Calculus
by
kd.....
(
285
points)

65
views
calculus
engineeringmathematics
integration
0
votes
1
answer
21
ISI 2017 MMA 16
Let ($x_{n}$) be a sequence of a real number such that the subsequence ($x_{2n}$) and ($x_{3n}$) converge to limit K and L respectively. Then A) ($x_{n}$) always converge B) If K=L then ($x_{n}$) converge C) ($x_{n}$) may not converge but K=L D) it is possible to have K$\neq$L
asked
Apr 24
in
Linear Algebra
by
Tesla!
Boss
(
16.6k
points)

121
views
isi2017
calculus
engineeringmathematics
+1
vote
2
answers
22
ISI 2017 MMA 1
The area lying in the first quadrant and bounded by the circle $x^{2}+y^{2}=4$ and the lines $x= 0$ and $x=1$ is given by $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
asked
Apr 23
in
Calculus
by
Tesla!
Boss
(
16.6k
points)

128
views
isi2017
calculus
areaundercurve
0
votes
1
answer
23
Maths calculus
a)π/√2 B) √π/2 C) π/2 D)√(π/2
asked
Apr 11
in
Calculus
by
Prince Sindhiya
Active
(
2.6k
points)

59
views
engineeringmathematics
calculus
0
votes
1
answer
24
Maths calculus
asked
Apr 11
in
Calculus
by
Prince Sindhiya
Active
(
2.6k
points)

50
views
engineeringmathematics
calculus
0
votes
0
answers
25
Maths calculus
asked
Apr 11
in
Calculus
by
Prince Sindhiya
Active
(
2.6k
points)

57
views
engineeringmathematics
calculus
0
votes
0
answers
26
Problems in Calculus Of One Variable by I.A. Maron
asked
Apr 10
in
Calculus
by
pmshukla96
(
49
points)

38
views
calculus
+2
votes
2
answers
27
ISI201713
An even function $f(x)$ has left derivative $5$ at $x=0$. Then the right derivative of $f(x)$ at $x=0$ need not exist the right derivative of $f(x)$ at $x=0$ exists and is equal to $5$ the right derivative of $f(x)$ at $x=0$ exists and is equal to $5$ none of the above is necessarily true.
asked
Mar 27
in
Calculus
by
jjayantamahata
Active
(
1.5k
points)

74
views
isi2017
functions
calculus
+1
vote
1
answer
28
ISI2014
Consider the function for all $x \in (0,1),$ $\begin{equation}f(x) =\begin{cases}x &\text{if x is rational}\\1x & \text{otherwise.}\end{cases} \end{equation}$ Then, the function $f$ is everywhere continuous on $(0,1)$ continuous only on rational points in $(0,1)$ nowhere continuous on $(0,1)$ continuous only at a single point in $(0,1)$
asked
Mar 15
in
Mathematical Logic
by
jjayantamahata
Active
(
1.5k
points)

101
views
limits
calculus
+1
vote
2
answers
29
Derivatives in real life (Mooculus)
A light on the ground is 30 feet away from a building. A 4 foot tall man is walking from the light to the building at a rate of 3 feet per second. He is casting a shadow on the side of the building. At what rate is his shadow shrinking when he is 5 feet from the building?
asked
Mar 14
in
Calculus
by
Mk Utkarsh
Boss
(
16.9k
points)

119
views
maths
engineeringmathematics
calculus
+1
vote
1
answer
30
GATE 2018 Maths  18(Electrical Engineering)
asked
Feb 21
in
Calculus
by
Lakshman Patel RJIT
Loyal
(
8k
points)

116
views
gate2018
engineeringmathematics
calculus
integration
normal
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