Ques:- Afte done your graduation. how long time you spent. what did you do in this time?
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:- Tell me something about yourself in brief
Ques:- Two computers each produced 48000 public utility bills in a day. One computer printed bills at the rate of 9600 an hour and the other at the rate of 7800 an hour. When the first computer finished its run, how many bills did the other computer still have to print?
Recent Answer : Added by vinita On 2022-08-14 16:33:14:
9000
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:- Julius and Vincent are brothers. “We are born within the same hour,” says Julius, “on the same day of the same year.” “But,” says Vincent, “we are no twins!” How is this possible?
Recent Answer : Added by maki On 2021-10-25 03:53:34:
yea may be they are brothers only by father or by mother
Ques:- How many days required if you are selected to joining our company?
Ques:- The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Recent Answer : Added by SHWETA On 2021-11-26 16:30:43:
4500 sal of jan
Ques:- What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Ques:- The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?
Ques:- Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
Ques:- If 12 men shakes hand from each other then what will be the total no. of hand shakes exchanged.?
Ques:- There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Recent Answer : Added by nilu On 2021-10-08 16:31:44:
5/9
Ques:- Two ladies and two men are playing cards and are seated at North, East, South and West of a table. No lady is facing East. Persons sitting opposite to each other are not of the same sex. One man is facing South. Which directions are the ladies facing?
Recent Answer : Added by Saumyadipta Sarkar On 2022-03-09 16:41:20:
M
M. L
L
Ques:- A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Recent Answer : Added by Raja On 2022-11-15 16:37:18:
30mins
Let the total time taken to fill the tank be x minutes.
Then, work done by B in half hour + work done by (A+B) in half hour =1.
(
40
1
×
2
x
)+(
60
1
+
40
1
)×
2
x
=1
⇒
80
x
+
48
x
=1
⇒
240
3x+5x
=1
⇒8x=240
⇒x=30 min
Ques:- If you throw a red stone into the blue sea what it will become?
Recent Answer : Added by Mubeena kabeer On 2021-04-15 17:10:50:
A wet stone
Ques:- If in a certain language, NATURE is coded as MASUQE, how is FAMINE coded in that code ?
Recent Answer : Added by Nagarjuna On 2022-10-27 17:33:14:
EALIME
Ques:- A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Ques:- Do you consider your progress on the job representative of your ability? Why?
Ques:- A father said to his son, “I was as old as you are at present at the time of your birth.” If the father’s age is 38 years now, the son’s age five years back was?
Recent Answer : Added by George On 2021-06-10 07:10:14:
38 / 2 = 19 – 5 = 14 years old
Ques:- A man walks 6 km to the east and then turns to the south and walks 5km. Again he turns to the east and walks 6 km. Next, he northwards and walks 10km. How far is he now from his starting point?
Recent Answer : Added by NARANA GOWDA A On 2022-09-02 17:03:00:
13km
Ques:- When have you demonstrated leadership skills?
Ques:- If a passenger train takes twice to cross a freight train to overtake than to cross each other in opposite direction find how many times faster is passenger train than the freight train
Recent Answer : Added by Admin On 2020-05-17 12:01:07:
TWICE
Ques:- Evaluate the sum of all even integers between 99 and 301?
Recent Answer : Added by Jagadeesh On 2022-09-15 16:37:00:
Summation of 301 – summation of 99
=41550
Summation of n=((n*n+1)/2)
Ques:- The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is?
Ques:- Find out the wrong number in a given series.
3, 7, 15, 39, 63, 127, 255, 511
A. 7
B. 15
C. 39
D. 67
Recent Answer : Added by Bharath Teja On 2022-08-14 16:25:25:
(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