Recent questions and answers in Calculus

0 votes

0 answers

1

virtual gate
i have solved it by putting the values

asked 6 hours ago in Calculus by Prince Sindhiya Active (3.6k points) | 9 views

0 votes

1 answer

2

limits
Find the limit $\operatorname { lit } _ { x \rightarrow 1 } \left\{ \left( \frac { 1 + x } { 2 + x } \right) ^ { \left( \frac { 1 - \sqrt { x } } { 1 - x } \right) } \right\}$

answered 1 day ago in Calculus by raahul (141 points) | 46 views

0 votes

1 answer

3

Gilbert Strang Doubt
Locate the inflection points and region where f(x) is concave up or down f(x)=$-x^3+x^2+x$

answered 1 day ago in Calculus by Magma Active (5.1k points) | 14 views

0 votes

1 answer

4

Calculus-Definite Integral
What is the value of $\int_0^\pi log(1+cosx)dx$

answered 1 day ago in Calculus by Prateek Raghuvanshi Loyal (6.4k points) | 24 views

0 votes

1 answer

5

Maxima and Minima
Find the stationary points, maxima and minima f(x)=|x+1|+|x-1| , -3<=x<=2

answered 5 days ago in Calculus by Smishra95 Active (1.2k points) | 34 views

+14 votes

5 answers

6

GATE2010-5
What is the value of $\lim_{n \to \infty}\left(1 - \frac{1}{n}\right)^{2n}$ ? 0 $e^{-2}$ $e^{-1/2}$ 1

answered Oct 8 in Calculus by air1ankit Active (3.8k points) | 1.4k views

0 votes

1 answer

7

bs grewal calculus question
please solve .?

answered Oct 7 in Calculus by hitendra singh Junior (667 points) | 22 views

0 votes

1 answer

8

made easy
https://drive.google.com/open?id=0B-lVpY6h9rYKRE9pZzNIQlh5bFU in above notes page no 8,9 is the solution of above question true ?? please provide solution?

answered Oct 7 in Calculus by Manas Mishra Junior (811 points) | 32 views

0 votes

1 answer

9

Integration
Solve $\int_{0}^{\pi }sin^{5}\frac{x}{2}dx$

answered Oct 6 in Calculus by Manas Mishra Junior (811 points) | 32 views

0 votes

0 answers

10

Differentiability
$\varphi \left ( x \right )=x^{2}\cos \frac{1}{x}$ when $x\neq 0$ $=0$ when $x=0$ Is it differentiable at $x=0$? Is it continuous ?

asked Sep 30 in Calculus by srestha Veteran (98.3k points) | 10 views

0 votes

0 answers

11

Integration

asked Sep 29 in Calculus by Shivangi Parashar 2 (143 points) | 24 views

0 votes

0 answers

12

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) $lim_{x\rightarrow a} \frac{f(x)-f(a)}{x-a}$

asked Sep 16 in Calculus by Rahul_Rathod_ (383 points) | 16 views

0 votes

0 answers

13

limit

asked Sep 13 in Calculus by Rohit Kumar 2 (285 points) | 14 views

0 votes

0 answers

14

limit

asked Sep 13 in Calculus by Rohit Kumar 2 (285 points) | 10 views

0 votes

0 answers

15

definite integral when infinity is multiplied by zero

asked Sep 13 in Calculus by Rohit Kumar 2 (285 points) | 16 views

0 votes

0 answers

16

vectors x1= 5i-2j+k and x2=4i-j+2k are transformed into y1=ax1 and y2=ax2.

asked Sep 12 in Calculus by K NARASIMHA (7 points) | 10 views

0 votes

1 answer

17

integration
now if we use sin^2 x=(1-cos2x)/2 then we are not getting solution like this please check

answered Sep 12 in Calculus by arvin Loyal (9.4k points) | 33 views

0 votes

0 answers

18

limit

asked Sep 10 in Calculus by Rohit Kumar 2 (285 points) | 47 views

0 votes

0 answers

19

Find sequence's sum?
What is sum of the following series 1+ √2+ √3 +√4.....+√n ? Asymptotic answer will be okay too. [closed]

asked Sep 8 in Calculus by bts1jimin (87 points) | 19 views

0 votes

0 answers

20

What is sum of the sequence?
What is sum of the series 1+ √2+ √3 +√4.....+√n ? Assymptotic answer will be okay too. [closed]

asked Sep 8 in Calculus by bts1jimin (87 points) | 10 views

0 votes

1 answer

21

Area between curves
The area between the parabola $x^2 = 8y$ and the straight line y= 8 is . I am getting $128√2$.

answered Sep 3 in Calculus by __A12 (55 points) | 12 views

+5 votes

2 answers

22

TIFR2011-A-11
$$\int_{0}^{1} \ln x\, \mathrm{d}x=$$ $1$ $-1$ $\infty $ $-\infty $ None of the above.

answered Aug 27 in Calculus by chandler bing (61 points) | 346 views

+2 votes

2 answers

23

ISI2017-13
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.

answered Aug 24 in Calculus by ankitgupta.1729 Loyal (7.6k points) | 79 views

+7 votes

3 answers

24

TIFR2015-A-11
Suppose that $f(x)$ is a continuous function such that $0.4 \leq f(x) \leq 0.6$ for $0 \leq x \leq 1$. Which of the following is always true? $f(0.5) = 0.5$. There exists $x$ between $0$ and $1$ such that $f(x) = 0.8x$. There exists $x$ between $0$ and $0.5$ such that $f(x) = x$. $f(0.5) > 0.5$. None of the above statements are always true.

answered Aug 15 in Calculus by Gyanu (57 points) | 331 views

+1 vote

2 answers

25

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

answered Aug 9 in Calculus by CJ147 (73 points) | 71 views

0 votes

1 answer

26

Calculus-Self Doubt
Is the function $f(x)=\frac{1}{x^{\frac{1}{3}}}$ continous in the interval [-1 0) ?

answered Aug 9 in Calculus by CJ147 (73 points) | 78 views

0 votes

1 answer

27

lt x→0(3cosx+2sin3x)^(1/x)

answered Aug 8 in Calculus by arvin Loyal (9.4k points) | 22 views

0 votes

1 answer

28

ugc net 2018 july -82
Which of the following statements is false about convex minimization problem? If a local minimum exists, then it is a global minimum the set of all global minimum is a convex set the set of all global minimum is concave set for each is strictly convex function, if the function has minimum, then the minimum is a unique

answered Aug 6 in Calculus by Shivang Agarwal (21 points) | 300 views

+12 votes

5 answers

29

GATE2011-31
Given $i = \sqrt{-1}$, what will be the evaluation of the definite integral $\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx$ ? $0$ $2$ $-i$ $i$

answered Jul 31 in Calculus by ramji (173 points) | 1.3k views

+1 vote

1 answer

30

Finding Maxima Minima
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____

answered Jul 19 in Calculus by Prateek Raghuvanshi Loyal (6.4k points) | 97 views

0 votes

2 answers

31

SELF DOUBT
0/infinity is determinent form or inderminent form while solving limits

answered Jul 6 in Calculus by kavya kamish upadhya (213 points) | 89 views

+1 vote

2 answers

32

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

answered Jun 26 in Calculus by Prateek Raghuvanshi Loyal (6.4k points) | 142 views

+7 votes

1 answer

33

ISI2017 MMA
Let S ⊆ R. Consider the statement: "There exists a continuous function f:S -> S such that f(x) != x for all x belongs to S." This statement is false if S equals A) [2,3] B) (2,3] c) [-3,-2] union [2,3] D) (-infinity to +infinity)

answered Jun 18 in Calculus by Kushagra Chatterjee Loyal (8.3k points) | 318 views

0 votes

1 answer

34

ISI 2014 MMA- 7

answered Jun 12 in Calculus by Subarna Das Boss (11.5k points) | 66 views

0 votes

0 answers

35

ISI 2014 MMA - 5

asked Jun 12 in Calculus by Sammohan Ganguly (435 points) | 60 views

0 votes

1 answer

36

Definite Integral
S = $\int_{0}^{2\Pi } \sqrt{4cos^{2}t +sin^{2}t} \, \, dt$ Please explain how to solve it.

answered Jun 11 in Calculus by srestha Veteran (98.3k points) | 104 views

0 votes

1 answer

37

Calculus

answered Jun 4 in Calculus by Prateek Raghuvanshi Loyal (6.4k points) | 62 views

+1 vote

1 answer

38

Limit
Puzzle $\lim_{y\rightarrow \alpha }\left (y-\left ( y^{2}+y \right )^{\frac{1}{2}}\right )$

answered May 30 in Calculus by Deepakk Poonia (Dee) Boss (18.7k points) | 101 views

+9 votes

3 answers

39

GATE2015-1-4
$\lim_{x\rightarrow \infty } x^{ \tfrac{1}{x}}$ is $\infty $ 0 1 Not defined

answered May 29 in Calculus by sutanay3 Active (2.9k points) | 1.5k views

+2 votes

2 answers

40

Limit
Is answer will be 1 or 5? $\lim_{x\rightarrow \alpha }\left ( \frac{x+6}{x+1} \right )^{x+4}$

answered May 26 in Calculus by abhishekmehta4u Boss (23.9k points) | 119 views

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