Recent questions in Calculus

+1 vote

2 answers

1

Differential calculus
If f(x) = |x-1| + |x-2| is not derivable at x = (a) x = 0 (b) x = 1,2 (c) x = 3 (d) none

asked 18 hours ago in Calculus by Dhanraj vishwakarma (165 points) | 17 views

0 votes

0 answers

2

anyone explain this limit question self made :P

asked 2 days ago in Calculus by sumit goyal 1 Loyal (2.5k points) | 50 views

0 votes

0 answers

3

Maxima minima
Can a function obtain local maxima or minima at end point of its domain?

asked Sep 13 in Calculus by sachin! Active (1k points) | 16 views

0 votes

1 answer

4

self doubt
Which of the following is true: (a) differentiable and continous (d) none of these (c) not differentiable but continous (b) neither differentiable nor continous

asked Sep 9 in Calculus by Kaluti Active (2.3k points) | 34 views

0 votes

0 answers

5

Area Bounded By Curve
Let f(x)=x−(1/2) and A denote the area of region bounded by f(x) and the x-axis, when x varies from -1 to 1. A is nonzero and finite??

asked Sep 8 in Calculus by Shubhanshu Boss (5.9k points) | 36 views

+2 votes

0 answers

6

Limits
someone please explain how to solve these kind of questions. i am familiar with one variable and do not know how to solve for more than one variables

asked Sep 8 in Calculus by sandeepjkh Active (1k points) | 48 views

0 votes

0 answers

7

Continuity
If the function f(x) = [(x-2)3/a] sin(x-2) + a cos(x-2) , [∙] denotes greatest integer function, is continuous & differentiable in (4,6) then find ‘a’ range? (A) a ϵ (-∞,∞) (B) a ϵ [64, ∞) (C) a ϵ [128, ∞) (D) Not defined

asked Sep 6 in Calculus by Sonu Kumar 1 (95 points) | 20 views

0 votes

0 answers

8

Continuity and Differentiability

asked Sep 6 in Calculus by Sonu Kumar 1 (95 points) | 25 views

0 votes

1 answer

9

limit
solve following $\lim_{x->0} e^{ax}- e^{-ax}/ log(1+bx)$

asked Aug 30 in Calculus by sid1221 Active (1.6k points) | 40 views

0 votes

0 answers

10

ME , GATE2006
Assuming $i=\sqrt{-1}$ and t is real number , $\int_{0}^{\Pi /3} e^{it}dt$ given ans is $\sqrt{3}/2 + i/2 , and i am getting \sqrt{3}/2-i/2$ i solved first put $e^{it}= cost +isint$ then and integrate , but in solution they first integrate $e^{it}$ then put the value of it ... but ans different ... why is this happening .. am i missing something ??

asked Aug 29 in Calculus by sid1221 Active (1.6k points) | 26 views

0 votes

1 answer

11

MATHS
Limit x tends to infinity then what is the value of (tanx-x)/(sinx)

asked Aug 21 in Calculus by tajar (85 points) | 55 views

+1 vote

0 answers

12

maxima minima problem
The greatest value of the function f(x) = 2 sin x + sin 2x on the interval [ 0,3pi/2 ] is ____ .

asked Aug 10 in Calculus by Vicky rix Loyal (3.7k points) | 73 views

+3 votes

3 answers

13

calculus problem on limits

asked Aug 8 in Calculus by Vicky rix Loyal (3.7k points) | 60 views

+1 vote

1 answer

14

calculus problem on limits
1) 2) Answer for 1) infinity 2) 1/sqrt(3) please verify

asked Aug 8 in Calculus by Vicky rix Loyal (3.7k points) | 37 views

+1 vote

1 answer

15

doubt in calculus
What is the difference between monotonically increasing and strictly increasing ??? are they both same or different ???

asked Aug 5 in Calculus by Vicky rix Loyal (3.7k points) | 19 views

+1 vote

0 answers

16

self doubt
compute the integral here $\int_{0}^{1} (x*logx)^{50}dx$

asked Jul 31 in Calculus by Kaluti Active (2.3k points) | 42 views

+1 vote

0 answers

17

GATE 2015-2_26 Re-ask
Consider this question:- http://gateoverflow.in/8124/gate2015-2_26 Please clarify my doubts:- I have drawn its graph and I am getting an open graph without any bounded region. In this, the 2nd point says that f is not bounded in ... comparing with the graph I am getting infinite area since the area is not bounded. Then how the third point is true?

asked Jul 28 in Calculus by Shubhanshu Boss (5.9k points) | 34 views

+1 vote

1 answer

18

Proof Results in Limits
Proof these results in limits 1. $\lim_{x\rightarrow0}(1+x)^{1/x} = e$ 2. $\lim_{x\rightarrow0}(1+nx)^{1/x} = e^n$ 3. $\lim_{x\rightarrow\infty }(1+\frac{1}{x})^{x} = e$ 4. $\lim_{x\rightarrow\infty }(1+\frac{a}{x})^{x} = e^a$

asked Jul 28 in Calculus by Shubhanshu Boss (5.9k points) | 34 views

+1 vote

1 answer

19

Doubt in calculus
How to solve question 1 without reduction formula. Q1> $\int_{0}^{ \Pi /2}sin^6xcos^2xdx$ Q2> $\lim_{x\rightarrow0}\frac{1-cos^2}{2x^4}$

asked Jul 28 in Calculus by Shubhanshu Boss (5.9k points) | 28 views

+1 vote

1 answer

20

Calculus: Need Explanation
Q1> $\lim_{x->0} xlogx$ Q2> $\lim_{x\rightarrow Inf} \frac{sin x}{ x}$ for first question why we can't take: $\frac{x^{2} log x}{x}$

asked Jul 28 in Calculus by Shubhanshu Boss (5.9k points) | 33 views

+1 vote

0 answers

21

Maths
http://gateoverflow.in/?qa=blob&qa_blobid=3841640957822066036 Can someone show a step wise simplification for this

asked Jul 19 in Calculus by nick17india (53 points) | 36 views

+1 vote

0 answers

22

#limits
$F(x)= \frac{(4^{x}-1)^{3}}{sin(\frac{x}{p})ln(1+\frac{x^{2}}{3})}$ $( x \neq 0)$ $F(x)=k. (X=0)$ Value of p for which $f(x)$ is continuous?

asked Jul 16 in Calculus by Aishwarya Mehrotra (21 points) | 43 views

+1 vote

0 answers

23

Calculas Prepration Query
Hello folks, I've no prior knowledge or exposure to Calculus. Now, while coming to GATE exam, can someone point me where to prepare it especially videos (which are strictly according to gate syllabus) because whatever video lectures I see contains so much material that it will take me months to complete. Thanks.

asked Jul 2 in Calculus by iarnav Loyal (3.4k points) | 53 views

0 votes

0 answers

24

[Linear Algebra]
What is the effect of elementary operations on eigen vectors ? I know eigen values are not preserved with elementary operations,so as eigen vectors are generated by eigen values so they should change,But i am not sure.

asked Jul 1 in Calculus by rahul sharma 5 Veteran (11.2k points) | 22 views

0 votes

1 answer

25

Calculus maxima minima
True / false ? In continuous function if we have three stationary points then always it will be case that either one is maxima and two are minima or one is minima and two are maxima ? I think it is true but i am concerned about constant fucntion

asked Jun 30 in Calculus by rahul sharma 5 Veteran (11.2k points) | 70 views

+1 vote

1 answer

26

[Engineering Maths] Calculus
What can we say about e^-x ? a. Function is increasing at increasing rate b. Function is decreasing at increasing rate c. Function is increasing at decreasing rate d. Function is decreasing at decreasing rate

asked Jun 24 in Calculus by rahul sharma 5 Veteran (11.2k points) | 73 views

+1 vote

1 answer

27

gate-2018
I am not good in calculus. Can anyone suggest me any maths books, for practicing calculus(useful for gate)

asked Jun 20 in Calculus by tanmaytarun (25 points) | 49 views

0 votes

1 answer

28

maths
Q.9 (B) 4 (C) 7 (D) 8 Consider the function f(x) = sin(x) in the interval x  [π/4, 7π/4]. The number and location(s) of the local minima of this function are (A) One, at π/2 (B) One, at 3π/2 (C) Two, at π/2 and 3π/2 (D) Two, at π/4 and 3π/2

asked Jun 19 in Calculus by akankshadewangan24 Loyal (3.1k points) | 36 views

+2 votes

2 answers

29

Generating Function-Rosen
Find the coefficient of x10 $\left ( 1+x^{2}+x^{4}+........ \right )\left ( 1+x^{4}+x^{8}+..... \right )\left ( 1+x^{6}+x^{12}..... \right )$

asked Jun 9 in Calculus by srestha Veteran (58.4k points) | 95 views

+1 vote

1 answer

30

Calculus
The interval in which $f(x) = \cot^{-1}x + x$ increases, is (a) $R$ (b)$(0,\infty )$ (c)$R-[n-\pi]$ (d)None of these

asked May 22 in Calculus by Aditya GN (83 points) | 58 views

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