Recent questions and answers in Calculus - GATE CSE Doubts

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PREVIOUS YEAR MATH SELF DOUBT
https://gateoverflow.in/41/gate2012-9 WHY (7pi)/4 IS NOT CONSIDERED?

asked 7 hours ago in Calculus by eyeamgj (27 points) | 4 views

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SELF DOUBT:LINEAR ALGEBRA
Number of $n$x$n$ matrices that can be constructed with $m$ different matrix elements According to me it should be $m^{n*n}$. Is it correct? and the follow up question with this concept in use All elements of a $2$x$2$ matrix " ... what is the probability that the determinant of this matrix is positive? My answer to the above problem is → $3/16$ Please verify both

asked 4 days ago in Calculus by Debapaul (615 points) | 12 views

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1 answer

Calculus (limits & continuity and differentiability) Dinesh khattar

answered 5 days ago in Calculus by blackcloud (55 points) | 18 views

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1 answer

MADE EASY maths 2020
I tried forming a series as $1+5x+15x^2+35x^3+...$ but i cant find how to approach next?

answered Jan 12 in Calculus by shashin (1.2k points) | 54 views

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1 answer

GATE FORUM: FUNCTION

answered Jan 7 in Calculus by Vimal Patel (817 points) | 29 views

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ACE TestSeries Question-2
Anyone please clarify..

asked Jan 5 in Calculus by Shivateja MST (96 points) | 19 views

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ACE Full Length Test
If k=0 is a root of the characteristic equation of u” + au’ +bu =0 then b=_______ Anyone please clarify,what is the concept this question is related to?

asked Jan 5 in Calculus by Shivateja MST (96 points) | 6 views

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Mathematics-Syllabus doubt
Is it necessary to read Convergence and Divergence and their related tests of Improper Integrals,Volume of solids of revolution,length of arc of a curve for GATE ? It seems there are no questions in these from past few years. Anyone please clarify.

asked Dec 27, 2019 in Calculus by Shivateja MST (96 points) | 17 views

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Self doubt-GATE2008 Question-Maxima and minima
https://gateoverflow.in/3341/gate2008-it-31 Just a slight modification to this question if it would have been : f(x)={25/8x when (0,3/2]} and f(x)={x when (3/2,4]} then the minimum value would have been 1.5? because at f(3/2)=2.08333 now the right hand limit lim(x->(3/2)+) is lim(x->(3/2)+)(x)=1.5 so the minimum value is 1.5?Am I correct?

asked Dec 4, 2019 in Calculus by Doraemon (91 points) | 16 views

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gradeup quiz maths
Consider a company, where a team is having seven different tasks. We have to complete these tasks with only four employees. Among these tasks, one task is tougher than other tasks. Similarly, we have one employee that is better than among other employees ... each employee is assigned at least one task and the most difficult task is assigned to the best employee is __________ _?

asked Nov 29, 2019 in Calculus by Akash Papnai (13 points) | 17 views

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TOC: ACE Test
Which of the following is non-inherently unambiguous language? $\left ( A \right ) L=wxw^{r}|w.x\in \left ( 0+1 \right )^{*}$ $\left ( B \right ) L=wxw^{r}|w\in \left ( 0+1 \right )^{*}$ $\left ( C \right ) L=ww^{r}|w\in \left ( 0+1 \right )^{*}$ $(D)$ None of above

asked Nov 15, 2019 in Calculus by srestha (636 points) | 18 views

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Lagrange Multiplier
The maximum value of the function. $f(x,y,z)=(x−1/3)^{2}+(y−1/3)^{2}+(z−1/3)^{2}$ Subject to the constraints $x+y+z=1, x\geq 0,y\geq 0,z\geq 0$ The question has been asked here but I was trying to solve it ... of maximum value. Can we solve this question using Lagrange Multiplier? The actual answer to this question is 2/3. @ShaikMasthan @srestha mam, please check this out

asked Nov 15, 2019 in Calculus by Nirmal Gaur (6 points) | 17 views

+1 vote

1 answer

Gatebook TS: Calculus
$Q:$ How many distinct values of x satisfy the equation $sinx=\dfrac{x}{3}$ where x is in radians.

answered Nov 15, 2019 in Calculus by pranay562 (912 points) | 43 views

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Gate limit questions
Find limit of given graph

asked Nov 14, 2019 in Calculus by amit166 (138 points) | 15 views

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1 answer

Limit best questions
$\lim_{x\rightarrow \infty }2[ \sqrt{n+6} \sqrt{n+10}-n]$ find value

answered Nov 13, 2019 in Calculus by pranay562 (912 points) | 12 views

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1 answer

Math problems limits
$\lim_{x\rightarrow \infty }x^{sinx} find$

answered Nov 13, 2019 in Calculus by pranay562 (912 points) | 13 views

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Math questions
$\lim_{x\rightarrow 0^{+}}0^{x}$ find value

asked Nov 13, 2019 in Calculus by amit166 (138 points) | 6 views

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Gate previous years question
https://gateoverflow.in/423/gate2008-25 Why we have not done 3rd derivative test..3rd derivative will give different results

asked Nov 12, 2019 in Calculus by nandani17 (29 points) | 18 views

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1 answer

Uppcl 2019 AE
Find area enclosed by curve $y=x^{2}-2$ and y=-x

answered Nov 6, 2019 in Calculus by srestha (636 points) | 25 views

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1 answer

Made Easy Engineering Mathematics Subject wise test series 2020

answered Oct 26, 2019 in Calculus by Satbir (4.1k points) | 38 views

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Calculus- Limits (Source- practice question from ravindrababu ravula)

asked Oct 25, 2019 in Calculus by ranarajesh495 (7 points) | 22 views

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practice questions from ravindra babu ravula
In the above question, i could not understand the highlighted area as there were supposed to be only 2 terms that is- cosx, -xsinx, but in the above solution 3 terms are there- x, cosx, -xsinx. I am not able figure out from where did x term came from?

asked Oct 25, 2019 in Calculus by ranarajesh495 (7 points) | 52 views

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TIFR question 2018
$f(x) =\ lim_{ x-> \infty}\frac{ (xlogx+x)^5 (1+2/x)^x}{(x+1/x)^5(logx+1/logx)^6}$

asked Oct 23, 2019 in Calculus by Bharat patra (6 points) | 12 views

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Gatebook:Calculus
The area of triangle is calculated by the formula . If the angle A is measure with 1% error. Find the % error in area. (A) (B) (C) (D)

asked Oct 7, 2019 in Calculus by Sambhrant Maurya (335 points) | 20 views

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Gatebook: Calculus
The area enclosed between the parabola and straight line is (A) (B) (C) (D)

asked Oct 7, 2019 in Calculus by Sambhrant Maurya (335 points) | 9 views

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Calculus doubt
How to draw graph of f(x)= xsinx+cosx with any proper source to understand.

asked Sep 11, 2019 in Calculus by mb14 (13 points) | 6 views

+1 vote

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Gate calculus linit
$\lim_{x-> \infty } \left (\frac{x+a }{x+b} \right ) ^{(x+b)}$

asked Sep 8, 2019 in Calculus by krati litoriya (7 points) | 51 views

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3 answers

Limit x tends to 0 (3COSX +2 SIN3X)^1/X
Limit (3cosx+2sin3x)^1/x X-->0

answered Aug 28, 2019 in Calculus by Bikram (1.2k points) | 24 views

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3 answers

Engg. Mathematics CS 2020 Gate Syllabus
In the CS 2020 gate syllabus, only the word integration is mentioned. So, do we just have to consider only Definite and Indefinite integrals or we should be studying on multiple integrals and gamma / beta integration too just like the ECE syllabus ?

answered Aug 28, 2019 in Calculus by Bikram (1.2k points) | 23 views

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logical reasoning
a professor gave five projects -1, 2, 3, 4 and 5 to five students-S, C, L, M and R as part of an internal group assessment program. He gave it to them at 7 p.m.the following table gives the time taken by each of them in finishing the different assignments ... . What is the cumulative time taken by all of them if they finish it in the minimum possible time? 7 hrs 7.5 hrs 9 hrs none

asked Jul 3, 2019 in Calculus by gate_forum (6 points) | 17 views

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Gateforum Test Series
https://csedoubts.gateoverflow.in/?qa=blob&qa_blobid=4121230089690385477

asked Jun 27, 2019 in Calculus by Dipanshu Rana (34 points) | 14 views

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1 answer

Narsing deo Graph Theory:VectorSpaces-6-10
Prove that in any vector space, the null vector $0$ is orthogonal to every vector in the space.

answered Jun 23, 2019 in Calculus by Debargha Bhattacharj (1.5k points) | 69 views

+1 vote

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GATE CE 2010
Will the answer be option a) or option d) ?

asked Jun 18, 2019 in Calculus by Aishvarya Akshaya Vi (7 points) | 31 views

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