Recent questions and answers in Calculus

0 votes

0 answers

1

GATE EE 2018
[closed]

asked 3 hours ago in Calculus by aditi19 Active (2.2k points) | 4 views

0 votes

0 answers

2

#maths #limit

asked 15 hours ago in Calculus by Manan Shah (29 points) | 21 views

+3 votes

2 answers

3

Lagrange 's Mean Value Theorem 2
If f ' (x) =$\frac{8}{x^{}2+3x+4}$ and f(0) =1 then the lower and upper bounds of f(1) estimated by Langrange 's Mean Value Theorem are ___

answered 3 days ago in Calculus by Mounodeep (11 points) | 488 views

0 votes

0 answers

4

aai 2018

asked 5 days ago in Calculus by pream sagar Junior (921 points) | 20 views

0 votes

0 answers

5

GATE 2016 MA Limits

asked 6 days ago in Calculus by Balaji Jegan Active (4.3k points) | 15 views

0 votes

0 answers

6

GATE 2016 MA Calculus

asked 6 days ago in Calculus by Balaji Jegan Active (4.3k points) | 16 views

0 votes

0 answers

7

GATE 2013 MA Calculus

asked Dec 12 in Calculus by Balaji Jegan Active (4.3k points) | 7 views

0 votes

0 answers

8

GATE 2013 MA Calculus

asked Dec 12 in Calculus by Balaji Jegan Active (4.3k points) | 8 views

0 votes

0 answers

9

GATE 2013 MA Calculus

asked Dec 12 in Calculus by Balaji Jegan Active (4.3k points) | 8 views

0 votes

0 answers

10

Self Doubt
Plese explain me this series

asked Dec 11 in Calculus by HeadShot Active (3.7k points) | 36 views

+1 vote

0 answers

11

GATE 2007 MA Calculus

asked Dec 11 in Calculus by Balaji Jegan Active (4.3k points) | 18 views

+2 votes

1 answer

12

TIFR GS 2019
How to solve it$?$ $\int_{0}^{1}\frac{x^{300}}{(x^{3}+x^{2}+1)}dx$ a.0.00 b.0.33 c.0.02 d.0.03 d.0.04 two decimal digit

answered Dec 10 in Calculus by rahulvats1996 (49 points) | 365 views

0 votes

0 answers

13

diffrentiability test
which of the following are differentiable at x=0 $X^{3}$ 2. | $X^{3}$ |

asked Dec 9 in Calculus by hitendra singh Active (1.5k points) | 29 views

+11 votes

5 answers

14

GATE2017-1-28
The value of $\lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$ is $0$ is $-1$ is $1$ does not exist

answered Dec 6 in Calculus by Things To Know (Thin Active (1.2k points) | 1.9k views

+5 votes

2 answers

15

TIFR2011-A-4
Consider the problem of maximizing $x^{2}-2x+5$ such that $0< x< 2$. The value of $x$ at which the maximum is achieved is: $0.5$ $1$ $1.5$ $1.75$ None of the above.

answered Dec 4 in Calculus by HeadShot Active (3.7k points) | 343 views

0 votes

0 answers

16

NIELIT SB_2018_20
For the function f(z) = $1/((z^{2})(e^{z}-1)), z=0$ is a pole of order (a) 1 (b) 2 (c ) 3 (d) None

asked Dec 3 in Calculus by manu.ratheesh (29 points) | 31 views

0 votes

0 answers

17

NIELIT SB_2018_23
The general solution of differential equation is $\frac{dy}{dx} = (1+y^2)(e^{-x^{2}}-2xtan^{-1}y) $

asked Dec 3 in Calculus by manu.ratheesh (29 points) | 32 views

+1 vote

3 answers

18

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 $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}-\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$

answered Dec 3 in Calculus by Shobhit Joshi Active (1.1k points) | 186 views

+31 votes

3 answers

19

GATE2012-9
Consider the function $f(x) = \sin(x)$ in the interval $x =\left[\frac{\pi}{4},\frac{7\pi}{4}\right]$. The number and location(s) of the local minima of this function are One, at $\dfrac{\pi}{2}$ One, at $\dfrac{3\pi}{2}$ Two, at $\dfrac{\pi}{2}$ and $\dfrac{3\pi}{2}$ Two, at $\dfrac{\pi}{4}$ and $\dfrac{3\pi}{2}$

answered Dec 2 in Calculus by sidlewis (493 points) | 3k views

+7 votes

2 answers

20

GATE1996-1.6
The formula used to compute an approximation for the second derivative of a function $f$ at a point $X_0$ is $\dfrac{f(x_0 +h) + f(x_0 – h)}{2}$ $\dfrac{f(x_0 +h) - f(x_0 – h)}{2h}$ $\dfrac{f(x_0 +h) + 2f(x_0) + f(x_0 – h)}{h^2}$ $\dfrac{f(x_0 +h) - 2f(x_0) + f(x_0 – h)}{h^2}$

answered Dec 1 in Calculus by sidlewis (493 points) | 930 views

0 votes

0 answers

21

Doubt : Continuity
Somewhere I found that ( on Google i guess, don't remember the exact site ) $\left | f(x)\right |$ is always continuous . But $\left | \frac{1}{x-1}\right |$ is discontinuous at [email protected]$ $x=1$ . Why this happens ?

asked Nov 30 in Calculus by HeadShot Active (3.7k points) | 37 views

0 votes

1 answer

22

GradeUp quiz-Maxima minima

answered Nov 28 in Calculus by Lakshman Patel RJIT Boss (20.9k points) | 91 views

0 votes

1 answer

23

Integration
$\int_{0}^{1}\frac{x^{\alpha }-1}{logx}dx$ where $\alpha>0$

answered Nov 26 in Calculus by vikashbit055 (81 points) | 48 views

+3 votes

1 answer

24

differentiable
The function is defined as follows. Which of the following is true? (A) f is discontinuous at all (B) f is continuous only at x = 0 and differentiable only at x = 0. (C) f is continuous only at x=0 and non differentiable at all (D) f is continuous at all and non differentiable at all

answered Nov 25 in Calculus by vikashbit055 (81 points) | 194 views

0 votes

0 answers

25

Lebinitz Theorem
Find the nth derivative of the following y = x^3 sin 2x

asked Nov 25 in Calculus by IITB2020 (63 points) | 20 views

0 votes

1 answer

26

Maxima and Minima
Divide 75 into three parts such that their product is maximum.

answered Nov 24 in Calculus by `JEET Active (2.3k points) | 38 views

+18 votes

7 answers

27

GATE2015-2-26
Let $f(x)=x^{-\left(\frac{1}{3}\right)}$ and $A$ denote the area of region bounded by $f(x)$ and the X-axis, when $x$ varies from $-1$ to $1$. Which of the following statements is/are TRUE? $f$ is continuous in $[-1, 1]$ $f$ is not bounded in $[-1, 1]$ $A$ is nonzero and finite II only III only II and III only I, II and III

answered Nov 23 in Calculus by Ayush Upadhyaya Boss (19.2k points) | 3.5k views

0 votes

0 answers

28

Gilbert Strang
$\int_{1}^{∞}\frac{dx}{x^6+1}$

asked Nov 22 in Calculus by aditi19 Active (2.2k points) | 45 views

+1 vote

1 answer

29

Calculus-Integration
$\int x^7.e^{x^4}dx$ How to do this?

answered Nov 22 in Calculus by Lakshman Patel RJIT Boss (20.9k points) | 65 views

+1 vote

1 answer

30

Definite Integrals
Do read the comments from thebottom of the page :)

answered Nov 22 in Calculus by Lakshman Patel RJIT Boss (20.9k points) | 51 views

0 votes

0 answers

31

LImits

asked Nov 21 in Calculus by Lone Wolf Active (1.4k points) | 51 views

0 votes

0 answers

32

SELF DOUBT
https://gateoverflow.in/2608/gate1995-1-21 IN THE GRAPH WHY TWO EQUATIONS ARE TAKEN MEANS HOW X=Y AND COSX TWO DIFFERENT THINGS ARE TAKEN TO GET INTERSECTION POINT.

asked Nov 20 in Calculus by eyeamgj Loyal (6.3k points) | 14 views

0 votes

0 answers

33

Gilbert Strang
$\int_{}^{}\frac{x dx}{\sqrt{x^4-1}}$

asked Nov 14 in Calculus by aditi19 Active (2.2k points) | 29 views

0 votes

0 answers

34

integration
https://gateoverflow.in/610/gate1993-02-6 what is the integration of xtan-1 (1/x) in this question.

asked Nov 14 in Calculus by eyeamgj Loyal (6.3k points) | 16 views

+2 votes

1 answer

35

Got from friend
Find the limit of the given expression $\lim_{x\to\frac{\pi}{2}}\left ( \sec x-\frac{1}{1-\sin x} \right )$

answered Nov 14 in Calculus by Lakshman Patel RJIT Boss (20.9k points) | 157 views

0 votes

1 answer

36

Limit
Please try to answer without using any standard result as i cant remember them.

answered Nov 13 in Calculus by adarsh_1997 Active (2.4k points) | 28 views

0 votes

1 answer

37

Calculus - Limits
Answer is 1 but where it is going wrong the way I solved in following image.

answered Nov 13 in Calculus by Hemanth_13 Loyal (5.4k points) | 88 views

+1 vote

1 answer

38

Doubt Integration
Can some one please how to solve above integral using mentioned property or any other way?

answered Nov 7 in Calculus by Shubhanshu Boss (17.1k points) | 52 views

0 votes

0 answers

39

SELF DOUBT
https://gateoverflow.in/80571/gate1987-1-xxvi A CAN BE ALSO ANSWER?

asked Nov 6 in Calculus by eyeamgj Loyal (6.3k points) | 17 views

0 votes

0 answers

40

Test series

asked Nov 4 in Calculus by ank73811 Active (1.2k points) | 52 views

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