Recent questions tagged calculus

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1

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

asked 11 hours ago in Calculus by Ayush Upadhyaya Boss (10.2k points) | 30 views

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0 answers

2

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 (135 points) | 22 views

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1 answer

3

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 (135 points) | 28 views

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4

ISI 2014 MMA - 5

asked Jun 12 in Calculus by Sammohan Ganguly (417 points) | 52 views

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1 answer

5

ISI 2014 MMA- 7

asked Jun 12 in Calculus by Sammohan Ganguly (417 points) | 58 views

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1 answer

6

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 (6.3k points) | 83 views

+1 vote

1 answer

7

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 (88.7k points) | 86 views

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0 answers

8

Limits
$\displaystyle\lim_{x \to 0} \left[ \dfrac{log(1+x)}{x} \right] ^{\dfrac{1}{x}} $

asked May 29 in Mathematical Logic by Nymeria (415 points) | 61 views

+2 votes

2 answers

9

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 (88.7k points) | 104 views

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1 answer

10

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 (157 points) | 79 views

+1 vote

1 answer

11

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 (811 points) | 54 views

+1 vote

1 answer

12

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) | 62 views

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1 answer

13

Mean Value Theorem ( Lagrange's), How to take Domain in this type of questions?)

asked Apr 30 in Calculus by Karan Dodwani (53 points) | 50 views

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3 answers

14

Integration
$\int \left ( \sin\theta \right )^{\frac{1}{2}}d\theta$

asked Apr 24 in Calculus by srestha Veteran (88.7k points) | 92 views

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0 answers

15

ISI 2017 MMA 25
For a,b $\in \mathbb{R}$ and b > a , the maximum possible value of the integral $\int_{a}^{b}(7x-x^{2}-10)dx$ is A) $\frac{7}{2}$ B) $\frac{9}{2}$ C) $\frac{11}{2}$ D) none of these

asked Apr 24 in Calculus by Tesla! Boss (16.1k points) | 79 views

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0 answers

16

Calculus Integration
$\int_{3}^{7}((x-3)(7-x))^{\frac{1}{4}}$

asked Apr 24 in Calculus by kd..... (255 points) | 55 views

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1 answer

17

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 (16.1k points) | 105 views

0 votes

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

asked Apr 23 in Calculus by Tesla! Boss (16.1k points) | 95 views

0 votes

1 answer

19

Maths calculus
a)π/√2 B) √π/2 C) π/2 D)√(π/2

asked Apr 11 in Calculus by Prince Sindhiya Active (1.1k points) | 56 views

0 votes

1 answer

20

Maths calculus

asked Apr 11 in Calculus by Prince Sindhiya Active (1.1k points) | 48 views

0 votes

0 answers

21

Maths calculus

asked Apr 11 in Calculus by Prince Sindhiya Active (1.1k points) | 55 views

0 votes

0 answers

22

Problems in Calculus Of One Variable by I.A. Maron

asked Apr 10 in Calculus by pmshukla96 (49 points) | 37 views

+2 votes

1 answer

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.

asked Mar 27 in Calculus by jjayantamahata Active (1.5k points) | 52 views

+1 vote

1 answer

24

ISI-2014
Consider the function for all $x \in (0,1),$ $\begin{equation}f(x) =\begin{cases}x &\text{if x is rational}\\1-x & \text{otherwise.}\end{cases} \end{equation}$ 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

+1 vote

2 answers

25

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 (12.8k points) | 116 views

+1 vote

1 answer

26

GATE 2018 Maths - 18(Electrical Engineering)

asked Feb 21 in Calculus by Lakshman Patel RJIT Loyal (7.8k points) | 103 views

+2 votes

1 answer

27

GATE 2018 Maths - 11(Electrical Engineering)

asked Feb 21 in Calculus by Lakshman Patel RJIT Loyal (7.8k points) | 148 views

+1 vote

1 answer

28

GATE 2018 Maths - 6 (Chemical Engineering)

asked Feb 20 in Calculus by Lakshman Patel RJIT Loyal (7.8k points) | 135 views

+1 vote

1 answer

29

GATE 2018 Maths - 33 (Chemical Engineering)

asked Feb 20 in Calculus by Lakshman Patel RJIT Loyal (7.8k points) | 135 views

+5 votes

6 answers

30

GATE2018-16
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____

asked Feb 14 in Calculus by gatecse Boss (18k points) | 1.8k views

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