Ques:- Do like doing things in a new way? Do you think it is worth it?
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:- A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Recent Answer : Added by Caroline On 2022-09-18 09:01:42:
360
Ques:- How much expenditure on petrol and diesel in india per day?
Ques:- If second no is twice the first no and first no is thrice the third no.Their avg is 20.Find the greatest no?
Recent Answer : Added by Admin On 2020-05-17 12:01:46:
let the third no be x ,
then the first no is 3x ,
second no is 2*3x ie 6x
average is (3x+6x+x )/3 = 20
10x/3 = 20
x= 60/10 = 6
third no is 6 , second is 6x = 36, first no is 3x = 18
largest no is 36 i.e second no
Ques:- What is Sensex?What is Nifty ?Difference between these two
Ques:- 280% of 3940 = ?
A. 10132
B. 11032
C. 11230
D. 11320
Recent Answer : Added by jaya aishu On 2022-05-17 09:07:18:
Ques:- If FRAGRANCE is written as SBHSBODFG, how can IMPOSING be written?
Ques:- How u describe urself?tell us about urself?
Ques:- Consider a function which, for a given whole number n, returns the number of ones required when writing out all numbers between 0 and n. For example, f(13)=6. Notice that f(1)=1. What is the next largest n such that f(n)=n?
Recent Answer : Added by Admin On 2020-05-17 12:01:41:
#1: N = 1, f(N) = 1
#2: N = 199981, f(N) = 199981
#3: N = 199982, f(N) = 199982
#4: N = 199983, f(N) = 199983
#5: N = 199984, f(N) = 199984
#6: N = 199985, f(N) = 199985
#7: N = 199986, f(N) = 199986
#8: N = 199987, f(N) = 199987
#9: N = 199988, f(N) = 199988
#10: N = 199989, f(N) = 199989
#11: N = 199990, f(N) = 199990
#12: N = 200000, f(N) = 200000
#13: N = 200001, f(N) = 200001
#14: N = 1599981, f(N) = 1599981
#15: N = 1599982, f(N) = 1599982
Ques:- Are problems in life temporary?
Ques:- Looking back, what would you do differently in your life?
Ques:- The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Recent Answer : Added by Sonali On 2020-11-17 15:27:47:
31
Ques:- Explain your organization chart and your position in the same?
Ques:- 7^101+18^101 is a multiple of a.15 b.25 c.35 d.45
Recent Answer : Added by Khagesh On 2022-10-17 15:58:03:
25
Ques:- Pointing to a man on the stage, Rita said, ” He is the brother of the daughter of the wife of my husband.” How is the man on the stage related to Rita?
Recent Answer : Added by anjali On 2022-12-20 12:54:01:
brother
Ques:- Age difference between two brothers is 3 years. After 6 years the ratio between the age is 9:8 What are their ages?
Recent Answer : Added by Manpreet Singh Kambo On 2021-10-12 12:53:04:
Previous their age was 21 and 18 respectively
Presently, after 6 years the age is 27 and 24.
Ques:- Tell Me About Your Self & Family Background.
Ques:- “Command” opposite?
Recent Answer : Added by Admin On 2020-05-17 12:01:19:
obey
Ques:- What are the differences between Pascal and C.
Recent Answer : Added by Admin On 2020-05-17 12:02:26:
c-> structured oriented lang
Pascal-> Procedure oriented lang
Ques:- At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Recent Answer : Added by md nizam On 2022-12-20 12:54:18:
4%
Ques:- Can you share your salary expectations?
Ques:- If they ask tell about yourself, from where i have to start. Give an answer with an example?
Ques:- A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says “At least and of the statements on this sheet are true.” Which statements are true and which are false?
Ques:- My education qualification
Ques:- Tell me the most embarrasing moment of your life
To provide the best experiences, we use technologies like cookies to store and/or access device information. Consenting to these technologies will allow us to process data such as browsing behavior or unique IDs on this site. Not consenting or withdrawing consent, may adversely affect certain features and functions.
Functional
Always active
The technical storage or access is strictly necessary for the legitimate purpose of enabling the use of a specific service explicitly requested by the subscriber or user, or for the sole purpose of carrying out the transmission of a communication over an electronic communications network.
Preferences
The technical storage or access is necessary for the legitimate purpose of storing preferences that are not requested by the subscriber or user.
Statistics
The technical storage or access that is used exclusively for statistical purposes.The technical storage or access that is used exclusively for anonymous statistical purposes. Without a subpoena, voluntary compliance on the part of your Internet Service Provider, or additional records from a third party, information stored or retrieved for this purpose alone cannot usually be used to identify you.
Marketing
The technical storage or access is required to create user profiles to send advertising, or to track the user on a website or across several websites for similar marketing purposes.
(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