Recent questions tagged maxima-minima

+1 vote

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1

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

asked Jan 18 in Calculus by Shubhanshu Boss (14.9k points) | 92 views

+1 vote

1 answer

2

Test Series

asked Jan 12 in Calculus by vishal chugh Active (1.6k points) | 75 views

+4 votes

0 answers

3

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

asked Jan 4 in Calculus by Tuhin Dutta Loyal (7.6k points) | 168 views

+2 votes

0 answers

4

Maxima-Minima: ME GATE 2015
$At\ x\ =\ 0,\ the\ function\ f(x)\ =\ |x|\ has\ a\\ (a)Minimum\\(b)Maximum\\(c)a\ point\ of\ inflection\\(d)Neither\ a\ maxima\ nor\ a\ minima$

asked Jan 4 in Calculus by Tuhin Dutta Loyal (7.6k points) | 131 views

+1 vote

0 answers

5

Finding minima of function.
For what value of 'k' (in terms of $X_{i}$'s) following functions will attain their minimum value $\rightarrow$ $F_{1}(k)$ = $\sum_{i=0}^{n} \left | X_{i} - k \right |$ $F_{2}(k)$ = $\sum_{i=0}^{n}\left ( X_{i} - k \right )^{2}$ If possible, please provide some valid proof for supporting your answer ?

asked Nov 11, 2017 in Probability by Chhotu Boss (10.3k points) | 41 views

+1 vote

0 answers

6

Maths: maxima - minima (global minmum vs local minimum)

asked Nov 9, 2017 in Calculus by Manu Thakur Boss (39k points) | 135 views

0 votes

1 answer

7

Maths: maxima and minima
In this maxima - minima question, teacher says that critical point -2 doesn't belong to the interval [-3, 3], isn't this wrong or i am missing something?

asked Nov 9, 2017 in Calculus by Manu Thakur Boss (39k points) | 128 views

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0 answers

8

Maxima Minima
Find the maximum value of f(x). n is a constant f(x)= C(x,2) *$2^{n-x}$

asked Nov 6, 2017 in Calculus by rahul sharma 5 Boss (22.7k points) | 82 views

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0 answers

9

maxima , minima

asked Nov 6, 2017 in Calculus by Parshu gate Active (4.8k points) | 35 views

0 votes

1 answer

10

Previous year
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 Please explain how pie ... is points where slope is 0 for f(x) not the end points.End points is used for absolute minima/maxima ( as much as i have read in books that is).

asked Oct 14, 2017 in Mathematical Logic by Sayan Ghosh (145 points) | 74 views

+2 votes

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11

Maxima and minima
Could we always say that in case of local minima or maxima we do not consider the extreme points we only check for critical points while in case of absolute maxima we check both at end points as well as at critical point...Please correct me if I am wrong.

asked Oct 8, 2017 in Calculus by shivangi5 Active (1.4k points) | 170 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, 2017 in Calculus by Vicky rix Loyal (6.7k points) | 130 views

0 votes

1 answer

13

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, 2017 in Calculus by rahul sharma 5 Boss (22.7k points) | 122 views

+4 votes

1 answer

14

ISI 2004 MIII
Q12 The maximum possible value of xy2z3 subjected to condition x,y,z$\geq 0$ and x+y+z=3 is A) 1 B) $\frac{9}{8}$ C) $\frac{9}{4}$ D) $\frac{27}{16}$

asked Apr 4, 2017 in Calculus by Tesla! Boss (15.1k points) | 190 views

+17 votes

3 answers

15

GATE2017-2-GA-9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range [-5,5] is 0 1 2 3

asked Feb 14, 2017 in Numerical Ability by Arjun Veteran (339k points) | 3.3k views

+18 votes

4 answers

16

GATE2017-1-GA-8
The expression $\large \frac{(x+y) - |x-y|}{2}$ is equal to : The maximum of $x$ and $y$ The minimum of $x$ and $y$ 1 None of the above

asked Feb 14, 2017 in Numerical Ability by Arjun Veteran (339k points) | 2k views

+2 votes

0 answers

17

Maths: Local Maxima/Minima
Can you please check if the following solution is correct? if not please correct it.

asked Nov 19, 2016 in Calculus by Vijay Thakur Boss (17k points) | 326 views

+2 votes

1 answer

18

math

asked Oct 6, 2016 in Mathematical Logic by Prateek kumar Loyal (7.6k points) | 113 views

+2 votes

1 answer

19

math

asked Oct 6, 2016 in Mathematical Logic by Prateek kumar Loyal (7.6k points) | 130 views

+4 votes

1 answer

20

ISRO2009-50
The value of $x$ at which $y$ is minimum for $y=x^2 -3x +1 $ is -3/2 3/2 0 -5/4

asked Jun 15, 2016 in Calculus by jothee Veteran (98.8k points) | 1k views

+2 votes

2 answers

21

ISRO-2013-49
What is the least value of the function $f(x) = 2x^{2}-8x-3$ in the interval $[0, 5]$? $-15$ $7$ $-11$ $-3$

asked Apr 29, 2016 in Calculus by makhdoom ghaya Boss (39.7k points) | 1.6k views

+4 votes

2 answers

22

GATE2013-CE-6
$X$ and $Y$ are two positive real numbers such that $2X+Y \leq 6$ and $X + 2Y \leq 8.$For which of the following values of $(X,Y)$ the function $f(X,Y)=3X + 6Y$ will give maximum value ? $\left(\dfrac{4}{3} , \dfrac{10}{3}\right)$ $\left(\dfrac{8}{3} , \dfrac{20}{3}\right)$ $\left(\dfrac{8}{3} , \dfrac{10}{3}\right)$ $\left(\dfrac{4}{3} , \dfrac{20}{3}\right)$

asked Feb 16, 2016 in Numerical Ability by Akash Kanase Boss (42.4k points) | 258 views

+2 votes

1 answer

23

What will be the minimum value within a given range? GATEFORUM_MOCKS

asked Jan 29, 2016 in Calculus by Purple Active (3.5k points) | 203 views

+2 votes

2 answers

24

Solve
At $t=0$, the function $f(t)=\frac{\sin t}{t}$ has (A) a minimum (B) a discontinuity (C) a point of inflection (D) a maximum

asked Dec 21, 2015 in Calculus by Riya Roy(Arayana) Loyal (7.2k points) | 595 views

0 votes

1 answer

25

maxima-minima query
consider the following function f(x) = x3 /3+ x2 /2 -6x+1000 find the intervals on which f is increasing. Is my solution right approach for this kind of numerical?? Caption

asked Dec 15, 2015 in Calculus by khushtak Loyal (7.5k points) | 394 views

+7 votes

2 answers

26

TIFR2015-A-11
Suppose that $f(x)$ is a continuous function such that $0.4 \leq f(x) \leq 0.6$ for $0 \leq x \leq 1$. Which of the following is always true? $f(0.5) = 0.5$. There exists $x$ between $0$ and $1$ such that $f(x) = 0.8x$. There exists $x$ between $0$ and $0.5$ such that $f(x) = x$. $f(0.5) > 0.5$. None of the above statements are always true.

asked Dec 5, 2015 in Calculus by makhdoom ghaya Boss (39.7k points) | 287 views

+4 votes

0 answers

27

TIFR2015-A-10
Let $f(x), x\in \left[0, 1\right]$, be any positive real valued continuous function. Then $\lim_{n \rightarrow \infty} (n + 1) \int_{0}^{1} x^{n} f(x) \text{d}x$ equals. $max_{x \in \left[0, 1\right]} f(x)$ $min_{x \in \left[0, 1\right]} f(x)$ $f(0)$ $f(1)$ $\infty$

asked Dec 5, 2015 in Calculus by makhdoom ghaya Boss (39.7k points) | 134 views

+1 vote

2 answers

28

Find absolute minimum

asked Dec 4, 2015 in Calculus by Himanshu1 Boss (15.2k points) | 143 views

+5 votes

2 answers

29

TIFR 2015 Part A-11
Suppose f(x) is a continuous function such that $0.4\leq f(x) \leq 0.6 for 0 \leq x\leq 1.$. Which of the following is always true? a) f(0.5)=0.5 b) There exists x between 0 and 1 such that f(x)=0.8x c) There exists x between 0 and 0.5 such that f(x)=x d) f(0.5)>0.5 e) None of the above statements are always true answer given is b) How do we evaluate such ques?

asked Dec 1, 2015 in Calculus by UK Active (1.7k points) | 243 views

+4 votes

2 answers

30

What is the maximum value of $\dfrac{e^{\sin x}}{e^{\cos x}}$ where $x$ is a real number?

asked Nov 22, 2015 in Calculus by radha gogia Loyal (6.9k points) | 599 views

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