Ques:- Im aruna. im coming from Anagapathur near pallavaram. Now i studying in Bsc (IT) , annamalai university in chennai.
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:- X and Y starts a business with Rs.8000 each, and after 4 months, Y withdraws half of his capital . How should they share the profits at the end of the 18 months?
Recent Answer : Added by Admin On 2022-09-29 16:03:06:
x:y=18:11
Ques:- 1,2,3,5,?,10,15,30
Recent Answer : Added by Admin On 2020-05-17 12:04:34:
these r all factors of 30
1*30=30
2*15=30
3*10=30
5*6=30
like that
Ques:- What is the future of NOC Engineers?
Ques:- A tank is filled in 5 hours by three pipes X, Y and Z. The pipe Z is twice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the tank?
Recent Answer : Added by sahana u k On 2022-04-02 07:00:59:
35 hours
Ques:- How flexible are you in work timings? You will have to work beyond your work timings.
Ques:- Are you familiar with collaboration tools? Whichcommunication method do you prefer for talk, email and chat?
Ques:- How prepare for Group discussion topics?help me giving some GD topics and answers for that?
Ques:- P, Q and R completed a piece of work, P worked for 6 days, Q for 9 days and R for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of R, if their total earning was Rs.1480?
Ques:- There are four dogs/ants/people at four corners of a square of unit distance. At the same instant all of them start running with unit speed towards the person on their clockwise direction and will always run towards that target. How long does it take for them to meet and where?
Recent Answer : Added by Admin On 2020-05-17 12:01:43:
They will meet at the center of the square…as the
direction vector of all the ants/people change according to
the first person.
The independent path of each person taken will be spiral in
nature.
Ques:- In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets are there?
A. 104
B. 845
C. 897
D. 949
Recent Answer : Added by narendra On 2022-09-18 09:02:47:
D
Ques:- How many tangents can be drawn with in three circles if they do not lie with in each other
Recent Answer : Added by Admin On 2020-05-17 12:01:17:
we can draw 12 tangents, 4 for 2 circles and 12 for 3
circles
Ques:- About the work experience and job profile handled.
Ques:- Who is your Favorite Musician
Ques:- If anand is the father of Roopa then Anand is the ——-of Roopa’s father.
Recent Answer : Added by Pinnapureddy praneetha Reddy On 2021-12-15 16:05:43:
name
Ques:- Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Recent Answer : Added by DK BOSS On 2021-07-17 10:05:29:
Answer:
11 days.
Step-by-step explanation:
In the question,
Time taken by Ramesh to finish a piece of work = 20 days
Time taken by Sushil to finish a work = 25 days
Time for which they worked together = 5 days
Sushil left after = 5 days
So,
One day work of Ramesh is,
One day work of Sushil is,
So,
Work done in 5 days is given by,
Therefore, Remaining work is given by,
Now, as the Sushil left the remaining work was done by Ramesh,
Time taken by Ramesh for the remaining work is,
Therefore, the remaining work will be completed in 11 days by Ramesh.
Ques:- How would you plant 4 trees equidistant from each other in a piece of land?
Recent Answer : Added by PRIDHVI R On 2021-06-03 00:13:17:
Placing three trees in triangle and placing the fourth tree in center
Ques:- 3 persons started placementpapers with a capital of Rs.3000 . B invest Rs.600 less than A, C invest Rs.300 less than B. Then what is the share amount of B in a profit of Rs.886 ?
Recent Answer : Added by Admin On 2020-05-17 12:04:24:
Rs.265.80
Ques:- How did you become interested in the position of cabin crew?
Ques:- A and B entered into a speculation. A put in Rs.500 and B put in Rs.450. At the end of 4 months A withdrew half of his capital and at the end of 6 months B withdrew half of his capital, then C entered with a capital of Rs.700. At the end of 12 months, in what ratio would the profit be divided?
A. 80 : 81 : 84
B. 80 : 81 : 85
C. 81 : 81 : 84
D. 81 : 81 : 85
Recent Answer : Added by Admin On 2022-09-23 18:55:36:
A. 80 : 81 : 84
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Ques:- It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Recent Answer : Added by Admin On 2022-09-29 15:28:07:
One day work = 1 / 20
One mans one day work = 1 / ( 20 * 75)
Now:
No. Of workers = 50
One day work = 50 * 1 / ( 20 * 75)
The total no. of days required to complete the work = (75 * 20) / 50 =
30
Ques:- What do you find are the most difficult decisions to make?
Ques:- A man can row three-quarters of a kilometre against the stream in (11 + 1/4)Minutes and down the stream in (7 + 1/2) Minutes. The speed (in km/hr) of the man in still water is:
Ques:- What characteristics are most important in a good manager?
Ques:- Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
(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