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ISI 2014 MMA 7
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ISI 2014 MMA  5
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Definite Integral
S = $\int_{0}^{2\Pi } \sqrt{4cos^{2}t +sin^{2}t} \, \, dt$ Please explain how to solve it.
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Jun 11
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Limit
Puzzle $\lim_{y\rightarrow \alpha }\left (y\left ( y^{2}+y \right )^{\frac{1}{2}}\right )$
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Deepakk Poonia (Dee)
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GATE201514
$\lim_{x\rightarrow \infty } x^{ \tfrac{1}{x}}$ is $\infty $ 0 1 Not defined
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May 29
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sutanay3
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gate20151
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7
Limit
Is answer will be 1 or 5? $\lim_{x\rightarrow \alpha }\left ( \frac{x+6}{x+1} \right )^{x+4}$
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ISRO2016 EC Calculus
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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?
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May 19
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Integration
$f\left ( x \right )=$$\int_{2}^{2}x^{\frac{2}{7}}dx$ Is this function f(x) is continuous, bounded and differentiable? (In exam hall is it possible to draw the graph for this function f(x), or some other procedure to follow to ans this)
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srestha
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integration
+13
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11
GATE2014347
The value of the integral given below is $$\int \limits_0^{\pi} \: x^2 \: \cos x\:dx$$ $2\pi$ $\pi$ $\pi$ $2\pi$
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May 17
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Calculus
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gate20143
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Doubt
A polynomial of degree 4 with real coefficients A) Can possibly have no extrema and no zero crossings B) May have up to four extrema and up to 3 zero crossings C) Cannot have more than three extrema and more than four zero crossings D) Will have an equal number of extrema and zero crossings
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May 14
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Calculus
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Karan Dodwani
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53
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+30
votes
6
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13
GATE2014147
A function $f(x)$ is continuous in the interval $[0,2]$. It is known that $f(0) = f(2) = 1$ and $f(1) = 1$. Which one of the following statements must be true? There exists a $y$ in the interval $(0,1)$ such that $f(y) = f(y+1)$ For every $y$ in the interval ... of the function in the interval $(0,2)$ is $1$ There exists a $y$ in the interval $(0,1)$ such that $f(y)$ = $f(2y)$
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May 13
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Calculus
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srestha
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gate20141
calculus
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+11
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4
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14
GATE201131
Given $i = \sqrt{1}$, what will be the evaluation of the definite integral $\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x  i \sin x} dx$ ? $0$ $2$ $i$ $i$
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May 11
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gate2011
calculus
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+10
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3
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15
GATE2017210
If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S. f’(\frac{1}{2}) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$, then the constants $R$ and $S$ are $\frac{2}{\pi}$ and $\frac{16}{\pi}$ $\frac{2}{\pi}$ and 0 $\frac{4}{\pi}$ and 0 $\frac{4}{\pi}$ and $\frac{16}{\pi}$
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May 9
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IIT M MS Question
Since given increasing,so $N'(t)>0$ but what will be $N''(t)$ for the slow rate part?
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May 7
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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
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May 7
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18
ISI MMA QROR
For n ≥ 1, let Gn be the geometric mean of { sin (π/2 . k/n) : 1 ≤ k ≤ n } Then lim n→∞ Gn is
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May 1
in
Calculus
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tathatj
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67
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trigonometry
complexnumber
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19
ISI 2016 MMA 24
let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a strictly increasing function. Then which one of the following is always true? A) The limits $\lim_{x\rightarrow a+} f(X)$ and $\lim_{x\rightarrow a} f(X)$ exist for all real number a B) if $f$ is differentiable at a ... that $f(x) < B$ for all real $x$ D) There cannot not be a real number $L$ such that $f(x) > L$ for all real $x$
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Apr 30
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Tesla!
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isi2016
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Mean Value Theorem ( Lagrange's), How to take Domain in this type of questions?)
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Apr 30
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Calculus
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meanvaluetheorem
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21
Integration
Evaluate $\Large\int_3^7 \sqrt[4]{(x3)(7x)} dx$
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Apr 28
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Calculus
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kd.....
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239
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22
Multiple integration
Evaluate $\Large\int_1^4\Large\int_\sqrt{y}^2(x^{2}+y^{2})dA $ by changing the order of integration
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Apr 28
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Calculus
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23
Integration
$\int \left ( \sin\theta \right )^{\frac{1}{2}}d\theta$
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Apr 25
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24
ISI 2017 MMA 25
For a,b $\in \mathbb{R}$ and b > a , the maximum possible value of the integral $\int_{a}^{b}(7xx^{2}10)dx$ is A) $\frac{7}{2}$ B) $\frac{9}{2}$ C) $\frac{11}{2}$ D) none of these
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Apr 24
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Tesla!
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isi2017
calculus
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25
Integration CE 2013
Find the value of the integral $$\int_{0}^{\pi/6}cos^43\theta\ sin^36\theta\ d\theta$$ Please show the steps.(upload a pic of your solution) a) 0 b) 1/15 c) 8/3 d) 1
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Apr 24
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Calculus
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239
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85
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26
Calculus Integration
$\int_{3}^{7}((x3)(7x))^{\frac{1}{4}}$
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Apr 24
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Calculus
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kd.....
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239
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45
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calculus
engineeringmathematics
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0
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2
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27
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 $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
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Apr 23
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Tesla!
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isi2017
calculus
areaundercurve
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28
General Math
What is value of $\log _{2}10$? In general calculator $\ln _{2}10$ is giving 2.3.... But it should be 3. something right?
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Apr 20
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Calculus
by
srestha
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86.8k
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76
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discretemathematics
general
0
votes
2
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29
ISRO 2013 Integration [EE]
The integrating factor of equation sec 2 y dy/dx + x tan y = x3 is a) [e]x^2/2 b) [e] x^2/2 c) [e]x/2 d) [e]x/2
answered
Apr 20
in
Calculus
by
sampurnanand mishra
(
123
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199
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isro
isroee
engineeringmathematics
0
votes
2
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30
ISRO 2013 Functions [EE]
The minimum point of the function (x3 /3) x is at a) x= 1 b) x = 1 c) x = 0 d) x = 1/ √ 3
answered
Apr 20
in
Calculus
by
sampurnanand mishra
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123
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148
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isro
isroee
engineeringmathematics
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2
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31
definite integration
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Apr 16
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80
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0
votes
1
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32
Maths calculus
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Apr 13
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sonveer tomar 1
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48
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engineeringmathematics
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33
Maths calculus
a)π/√2 B) √π/2 C) π/2 D)√(π/2
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Apr 11
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Maths calculus
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Apr 11
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engineeringmathematics
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Problems in Calculus Of One Variable by I.A. Maron
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Apr 10
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Calculus
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35
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calculus
+6
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3
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36
GATE201322
Which one of the following functions is continuous at $x = 3?$ $f(x) = \begin{cases} 2,&\text{if $x = 3$ } \\ x1& \text{if $x > 3$}\\ \frac{x+3}{3}&\text{if $x < 3$ } \end{cases}$ $f(x) = \begin{cases} 4,&\text{if $x = 3$ } \\ 8x& \ ... \\ x4& \text{if $x > 3$} \end{cases}$ $f(x) = \begin{cases} \frac{1}{x^327}&\text{if $x \neq 3$ } \end{cases}$
answered
Apr 10
in
Calculus
by
himanshukumarpatel
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89
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1.2k
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gate2013
calculus
continuity
normal
+5
votes
2
answers
37
GATE20071
Consider the following two statements about the function $f(x)=\left\vert x\right\vert$: P. $f(x)$ is continuous for all real values of $x$. Q. $f(x)$ is differentiable for all real values of $x$ . Which of the following is TRUE? $P$ is true and $Q$ is false. $P$ is false and $Q$ is true. Both $P$ and $Q$ are true. Both $P$ and $Q$ are false.
answered
Apr 10
in
Calculus
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himanshukumarpatel
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89
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1k
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gate2007
calculus
continuity
differentiability
easy
+4
votes
4
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38
GATE19981.4
Consider the function $y=x$ in the interval $[1, 1]$. In this interval, the function is continuous and differentiable continuous but not differentiable differentiable but not continuous neither continuous nor differentiable
answered
Apr 10
in
Calculus
by
himanshukumarpatel
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89
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589
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gate1998
calculus
continuity
differentiability
easy
0
votes
0
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39
ISISAMPLE201419
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Apr 7
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jjayantamahata
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67
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+2
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1
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40
Calculus +2math book
If an = 1000*n /n!, for n = 1, 2, 3, ...., then the sequence {an } (a) doesn't have a maximum (b) attains maximum at exactly one value of n (c) attains maximum at exactly two values of n (d) attains maximum for infinitely many values of n
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Apr 1
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