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Relations and Functions
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If , Y = $ x^4 - \ frac$ {x$^3} ${3} when denotes the number of hours worked and denotes the amount (in Rupees) earned. Then find the value of (in interval) for which the income remains increasing? Explain the importance of earning in life?
cbse
class12
valuebasedproblems2012
relations-and-functions
ch1
q16
math
sec-b
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asked
Jan 24, 2013
by
shanthinig
retagged
Mar 19, 2014
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0
votes
0
answers
If performance of the students ‘y’ depends on the number of hours ‘x’ of hard work done per day is given by the relation. Y = 4 x -$ \frac {x^2} {2} $ Find the number of hours, the students work to have the best performance. ‘Hours of hard work are necessary for success’ Justify.
asked
Jan 24, 2013
by
shanthinig
cbse
class12
valuebasedproblems2012
relations-and-functions
ch1
q17
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sec-a
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0
votes
0
answers
A car parking company has 500 subscribers and collects fixed charges of Rs.300 per subscriber per month. The company proposes to increase the monthly subscription and it is believed that for every increase of Re.1, one subscriber will discontinue the service. What increase will bring maximum income of the company? What values are driven by this problem?
asked
Jan 24, 2013
by
shanthinig
cbse
valuebasedproblems2012
relations-and-functions
q14
ch1
sec-b
0
votes
0
answers
Check whether the function f (x) =$ x^{100}$ + sin x-1 is strictly increasing or strictly decreasing or none of both on $(-1,1)$ . Should the nature of a man be like this function? Justify your answers
asked
Jan 24, 2013
by
shanthinig
cbse
valuebasedproblems2012
relations-and-functions
ch1
q15
additionalproblem
sec-b
0
votes
0
answers
(i)A sum of rupees ten thousand is put into three investments at the rate of 10%, 12% and 15% p.a. The combined income of first and second investment is Rs. 620 more of the income of third investment. If the combined income is Rs. 2420, then find the investment in each using matrices.(ii)"One can buy many things with very little savings".Explain the importance of savings in student's life.
asked
Jan 27, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q13
math
0
votes
0
answers
Three shopkeepers A, B, C are using polythene, handmade bags (prepared by prisoners), and newspaper’s envelope as carry bags. it is found that the shopkeepers A, B, C are using (20,30,40) , (30,40,20,) , (40,20,30) polythene , handmade bags and newspapers envelopes respectively. The shopkeepers A, B, C spent Rs.250, Rs.220 & Rs.200 on these carry bags respectively .Find the cost of each carry bags using matrices. Keeping in mind the social & environmental conditions, which shopkeeper is better? & why?
asked
Jan 24, 2013
by
shanthinig
cbse
class12
valuebasedproblems2012
relations-and-functions
ch1
q5
math
sec-c
0
votes
0
answers
If $a\in R$ and the equation $-3 (x-[x])^2 + 2(x-[x])+a^2 = 0$, (where $[x]$ denotes the greatest integer $\leq x$) has no integral solution, then all possible values lie in the interval:
asked
Apr 6, 2014
by
balaji.thirumalai
jeemain
math
class12
ch1
relations-and-functions
jeemain-2014
types
of
functions
q33
medium
0
votes
0
answers
Prove that $f: \text{R} \rightarrow \text{R}$ is a bijection given by $f(x) = x^3 + 3$. Find $f^{-1}(x)$. Does the truthfulness and honesty may have any relation?
asked
Jan 24, 2013
by
pady_1
cbse
class12
additionalproblem
valuebasedproblems2012
ch1
q1
math
sec-b
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