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

asked 6 days ago in Calculus by Rahul_Rathod_ (381 points) | 14 views

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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) = 1-x3-x9 is decreasing function for all values of x where x 0. Which of the above statements are TRUE. A-S1 only B-S2 only C-Both S1 and S2 D-Neither S1 nor S2

asked Sep 15 in Mathematical Logic by bts1jimin (67 points) | 17 views

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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

+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

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1 answer

5

Calculus-Self 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

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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

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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

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8

ISI 2014 MMA - 5

asked Jun 12 in Calculus by Sammohan Ganguly (435 points) | 59 views

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1 answer

9

ISI 2014 MMA- 7

asked Jun 12 in Calculus by Sammohan Ganguly (435 points) | 65 views

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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

+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

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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

+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

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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

+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

+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

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

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

0 votes

0 answers

19

ISI2017-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 $\frac{7}{2}$ $\frac{9}{2}$ $\frac{11}{2}$ none of these

asked Apr 24 in Calculus by Tesla! Boss (16.6k points) | 89 views

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0 answers

20

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

asked Apr 24 in Calculus by kd..... (285 points) | 65 views

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

+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

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

0 votes

1 answer

24

Maths calculus

asked Apr 11 in Calculus by Prince Sindhiya Active (2.6k points) | 50 views

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0 answers

25

Maths calculus

asked Apr 11 in Calculus by Prince Sindhiya Active (2.6k points) | 57 views

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0 answers

26

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

asked Apr 10 in Calculus by pmshukla96 (49 points) | 38 views

+2 votes

2 answers

27

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) | 74 views

+1 vote

1 answer

28

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

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

+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

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