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Recent questions tagged calculus

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331

Prince Sindhiya asked in Calculus Apr 11, 2018

by Prince Sindhiya

289 views

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0 answers

332

Prince Sindhiya asked in Calculus Apr 11, 2018

by Prince Sindhiya

255 views

0 votes

0 answers

333

Problems in Calculus Of One Variable by I.A. Maron
Prove that 0.101001000...1000....01 is irrational. can i get the exact solution.

pmshukla96 asked in Calculus Apr 10, 2018

211 views

3 votes

2 answers

334

ISI2017-MMA-14
Let $(v_n)$ be a sequence defined by $v_1 = 1$ and $v_{n+1} = \sqrt{v_n^2 +\left(\dfrac{1}{5}\right)^n}$ for $n\geq1$. Then $\displaystyle{\lim_{n \rightarrow \infty}v_n}$ is $\sqrt{5/3}$ $\sqrt{5/4}$ $1$ $\text{non existent}$

jjayantamahata asked in Calculus Mar 27, 2018

by jjayantamahata

1.4k views

3 votes

3 answers

335

ISI2017-MMA-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

jjayantamahata asked in Calculus Mar 27, 2018

by jjayantamahata

2.0k views

1 vote

1 answer

336

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 $(0,1)$

jjayantamahata asked in Mathematical Logic Mar 15, 2018

by jjayantamahata

791 views

1 vote

2 answers

337

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?

Mk Utkarsh asked in Calculus Mar 14, 2018

646 views

3 votes

1 answer

338

Mathematics GATE 2018 EE: 18
Let $f$ be a real-valued function of a real variable defined as $f(x) = x - [ x ]$ , where $ [ x ]$ denotes the largest integer less than or equal to $x$. The value of ${\LARGE \int}_{0.25}^{1.25} \! f(x) \, \mathrm{d}x$ is _________ (upto $2$ decimal places).

Lakshman Bhaiya asked in Calculus Feb 21, 2018

by Lakshman Bhaiya

2.8k views

3 votes

1 answer

339

Mathematics GATE 2018 EE: 11
Let $f$ be a real-valued function of a real variable defined as $f(x) = x^{2}$ for $x\geq0$ and $f(x) = -x^{2}$ for $x < 0$.Which one of the following statements is true? $f(x) \text{is discontinuous at x = 0}$ ... $f(x) \text{is differentiable but its first derivative is not differentiable at x = 0} $

Lakshman Bhaiya asked in Calculus Feb 21, 2018

by Lakshman Bhaiya

3.0k views

1 vote

1 answer

340

Mathematics GATE 2018 CH: 6
The figure which represents $y = \dfrac{sin x}{x}$ for $x>0$ ($x$ in radians) is

Lakshman Bhaiya asked in Calculus Feb 20, 2018

by Lakshman Bhaiya

772 views

1 vote

1 answer

341

Mathematics GATE 2018 CH: 33
If $y = e^{-x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .

Lakshman Bhaiya asked in Calculus Feb 20, 2018

by Lakshman Bhaiya

931 views

28 votes

4 answers

342

GATE CSE 2018 | Question: 16
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____

gatecse asked in Calculus Feb 14, 2018

16.0k views

0 votes

1 answer

343

Integral calculus - +2 maths book
When evaluating definite integrals for odd functions the answer will come as 0 as equal areas symmetric to x-axis will cancel out and give 0.But then should we take the modulus values and add?If area is asked then definitely we should do that.Please have ... answer as 0 but if I take mod values by splitting intervals then I get the answer as 2 log 2 which is given.

Surajit asked in Calculus Feb 13, 2018

795 views

1 vote

0 answers

344

Virtual Gate Test Series: Calculus - Definite Integration
$\int \limits_0^1 (1 + y^2)^{-1.5} dy=?$

Utsav09 asked in Calculus Jan 31, 2018

484 views

2 votes

1 answer

345

Calculus Limit
Find the value of Here I got till $lim_{x \rightarrow \infty} \frac{4^2 + \frac{3^x}{4^x}}{4^{-2}}$. But how to proceed further?

Shubhanshu asked in Calculus Jan 29, 2018

870 views

2 votes

2 answers

346

Integration
$\int_{-4}^{4}\left | x-3 \right |dx$

srestha asked in Calculus Jan 26, 2018

618 views

6 votes

1 answer

347

MadeEasy Test Series 2018: Calculus - Limits
The value of $\lim_{x\rightarrow \infty }\left ( \frac{4^{x+2} + 3^{x}}{4^{x-2}} \right )$ is ____________

sumit chakraborty asked in Calculus Jan 26, 2018

by sumit chakraborty

675 views

2 votes

1 answer

348

Limits
Find the value of above limit. How to approach with this type of infinity power infinity problems ?? im thinking like first we should convert this to 1 power infinity problem and then solve?? is it correct ?? please solve above que

Anjan asked in Mathematical Logic Jan 25, 2018

by Anjan

621 views

1 vote

2 answers

349

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

Tuhin Dutta asked in Calculus Jan 25, 2018

2.2k views

1 vote

0 answers

350

Integration area of curve
x 0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 f(x) 0 0.09 0.36 0.81 1.44 2.25 3.24 4.41 5.76 The value of the below integral computed using the continuous at x = 3? $\int_{0}^{3} f(x) dx$ a) 8.983 b) 9.003 c) 9.017 d) 9.045

Tuhin Dutta asked in Calculus Jan 25, 2018

608 views

3 votes

1 answer

351

vishal chugh asked in Calculus Jan 22, 2018

by vishal chugh

568 views

3 votes

1 answer

352

Calculus (LIMITS)
Answer is 1. I also know the procedure. My question is why isn't this formula working? Am I doing something wrong?

Nymeria asked in Calculus Jan 21, 2018

588 views

1 vote

0 answers

353

Maxima and Minima of 2 variable
Is the followIng case is possible rt-s^2 > 0 and r= 0?

Shubhanshu asked in Calculus Jan 18, 2018

1.1k views

3 votes

1 answer

354

Point of Inflexion

vishal chugh asked in Calculus Jan 18, 2018

by vishal chugh

626 views

4 votes

0 answers

355

Limits
What is the value of $\displaystyle \lim_{x\to \infty} \left(\frac{x}{2+x}\right)^{2x}?$

Shubhanshu asked in Calculus Jan 15, 2018

457 views

6 votes

1 answer

356

Continuity
If the function f(x) defined by $\left\{\begin{matrix} \frac{log(1+ ax) - log(1-bx)}{x} &, if x \neq 0\\ k & ,if x = 0 \end{matrix}\right.$ is continuous at x = 0, then value of k is A) b - a B) a - b C) a + b D) -a - b

Mk Utkarsh asked in Calculus Jan 15, 2018

982 views

2 votes

1 answer

357

Integration
$\int_{0}^{\frac{\pi }{2}}\frac{cosx}{2\sqrt{1-sinx}}dx=?$

srestha asked in Operating System Jan 11, 2018

676 views

2 votes

1 answer

358

MadeEasy Test Series: Calculus - Differentiability
At the point x = 1, the function

Kuldeep Pal asked in Calculus Jan 6, 2018

535 views

1 vote

0 answers

359

MadeEasy Test Series: Calculus - Maxima Minima
f(x) = 2x3 – 15x2 + 36x + 1 is increasing in the interval a) b) c)

Kuldeep Pal asked in Mathematical Logic Jan 6, 2018

310 views

5 votes

0 answers

360

Maxima-Minima: EC GATE 2014
$The\ maximum\ value\ of\\f(x)\ =\ 2x^3-9x^2+12x-3\ in\ the\ interval\ 0<=x<=3\ is\ $ _____________________

Tuhin Dutta asked in Calculus Jan 4, 2018

1.2k views

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Recent questions tagged calculus