Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
Ques:- How to handle in critical position?
Ques:- About man power management planning
Ques:- 441 : 361 :: 729 : __
Recent Answer : Added by Ram On 2021-12-24 16:17:32:
625
Ques:- How much salary do you expect?
Ques:- A coin is tossed live times. What is the probability that there is at the least one tail?
Ques:- Of the 50 researchers in a workgroup 40% will be assigned to Team A and the remaining 60% to Team B. However, 70% of the researchers prefer Team A and 30% prefer Team B. What is the least possible number of researchers who will not be assigned to the team they prefer?
A. 15
B. 20
C. 30
D. 35
Recent Answer : Added by Bob On 2022-08-14 16:29:34:
15
Ques:- Find out the wrong number in the series:
3, 8, 15, 24, 34, 48, 63
A. 15
B. 24
C. 34
D. 48
Recent Answer : Added by majd On 2022-08-14 16:44:45:
8-3 = 5
15-8 = 7
24-15 = 9
34-24 = 10 this one should be 35-24 = 11
48 – 34 = 14 based on the correction will be 48-35 = 13
63-48 = 15
the difference will create a series 5,7,9,11,13,15…..etc
Ques:- The H.C.F. and L.C.M. of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is
A. 24
B. 36
C. 48
D. 72
Recent Answer : Added by anonymous On 2022-03-09 16:38:02:
12*336/84=48
Ques:- Two employees were there. Employee one says to employee two — your work experience twice as me amp; employee2 to employee1 but two years before you said that your work experience is thrice as me. Employee2 said yes its also true. What are their work experience?…
Ques:- A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Recent Answer : Added by Akash Chandra Khan On 2022-01-08 16:06:55:
The probability will be
white ball = 5/9
red ball = 4/9
The answer can be 5/9 and 4/9 or 1
Ques:- Which is your dream company and why?
Ques:- Tell us something about you?
Ques:- The price for a pair of cuff links is Rs.1.00. The price for a 5 pair package of cuff links is Rs.3.40. The 5 pair package is what percent cheaper per paid than 5 pairs purchased separately?
A. 30%
B. 32%
C. 47%
D. 62%
Recent Answer : Added by Admin On 2022-09-25 04:09:54:
B. 32%
Ques:- Where did you find this job?
Ques:- A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Recent Answer : Added by Sanjeev Singh kushvaha On 2021-08-07 04:11:11:
350m
Ques:- In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. What is the speed of the boat in still water (in km/hr)?
Ques:- What is catalytic converter?
Ques:- Find out the wrong number in the series:
19, 26, 33, 46, 59, 74, 91
A. 26
B. 33
C. 46
D. 59
Recent Answer : Added by Vignesh . O On 2022-10-07 17:19:38:
Answer 33
Adding 7,9.13,15,17
Correct is 35
Ques:- How do you think our company competes with is competitor?
Ques:- Tell me a memmorable event in ur life.
Ques:- What is your work experience and how do you give your best to our company
Ques:- What will be the value of 25 mps in kmph?
Recent Answer : Added by MURUNGI ALIMAHAD On 2021-10-10 19:03:36:
10000
Ques:- Why have you done MBA?
Ques:- 1/(10 power 18) – 1/(10 power 20) = ?
Recent Answer : Added by Admin On 2020-05-17 11:59:42:
99/1020
Ques:- There are 4 cars . They all are coming from different directions. They have to cross through one square.They all arrive at the same time. Nobody stops . still there is no clash .note : They all are driving at a speed if 100 km/hr.options are:1) all cars take left2) all cars turn right3) two cars turn left and two turn right.tell me the answer with reason.
Ques:- Wat is ergonomics?
Ques:- A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?(a) 5 cms(b) 2 cms(c) 3 cms(d) 4 cms
Recent Answer : Added by Saeed On 2022-08-14 16:43:27:
2cm b)
Ques:- On cutting which solid parabola would be generated
Recent Answer : Added by Admin On 2020-05-17 12:01:12:
A parabola is obtained as the intersection of a cone with a
plane
5:6::7:10::6:5
=((5/6)/(7/10)/(6/5))
=((5/6)*(6/5)/(7/10))
=(1/(7/10))
=10/7