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1 . What is a " convex " function ? 2 . Prove that " y = x 2 " is a convex function . 3 . Out of 15 persons , 6 are girls while 9 are boys . We want the boys to form a line with increasing heights , and also the girls , but t ...

1)∫ x2-1/(x2+1)(√x4+1) dx 2)∫sin-1( 2x+2/√(4x2+8x+13) )dx ...

Q: A satellite orbiting the earth at a height ' r ' from the surface with velocity ' v ', starts losing energy at a constant rate of " C ". Find the time taken by the satellite to reach the surface of earth. Take Me as Mass o ...

1. Find the equation of the cirlce whose centre is (3,-1) and which cuts off an intercept of length 6 from the line 2x - 5y + 18 = 0 first of all what is meant by "which cuts off an intercept of length 6 from the the line 2x ...

If A2 - A+ I =0 then the inverse of A is 1. A+I 2.A 3.A-I 4.I-A ...

i just could not understand the formation of crystals. the unit cube of CsCl is made of one Cs at the centre with eight Cl around it. our teacher explained it that the Cl atoms at the corners are shared and so the net no. of ...

I wanna know what happens when a Grignard reacts with a carboxylic acid. does it just take the O of the OH bond? or does it attack the compound like it attacks aldehydes and keetons? ...

Prove the following identities:- (1-cos2A)/sin2A - sin2A/(1+cos2A) = tanA Is the question correct??? ...

the diagram shows a metre with the wire 'AB' having uniform resistance per unit length.when the switch 'S' is open, AJ is the balance length and when the switch is closed, AJ' is the balance length. is AB = 4 m and AJ = 2m th ...

a cubical box of side L is kept on a cylinder of radius R. what is the largetest value of L for the box to be stable? ...

If A=sin2x +cos4x,then for all real x: a. 3/4 ≤A≤ 13/16 b. 3/4 ≤A≤1 c. 13/16 ≤A≤1 d.1≤A≤2 please provide a detailed solution to the above problem. Thank You. ...

Since I am posting after a long time , I am starting with a very elemental problem which is in fact incorrectly solved in Arihant ............... But I loved solving it ........... Find the number of 2 numbers " x " and " y " ...

can anybody tell what is allkylation??? like we find majaor and minor products from methyl---cyclohexene & cyclohexane attached via double bond to --CH2 .....this is done on the basis of allkylation..... ...

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1. The conversion of Nitriles into aldehydes is called ...

What are the main topics that we must cover in Atomic structure for JEE? This chapter is full of lengthy formulas, which are typical to keep in memory So what sort of topics must be focussed in this chapter? Please suggest... ...

how to take the intersection of these three inequalities 1> 6x^2 - 5x + 1 < 0 2> 3x^2 + 2x - 1 > 0 3> 2x^2 + x - 3 < 0 please help i m muddledersection of these three inequalities 1> 6x^2 - 5x + 1 < 0 ...

Two sides of a square lie on lines 3x+4y=1 and 3x+4y=6, find the area. ...

*Image* identify incorrect statements for the given reaction, 1) it's intra molecular ester formation 2)product can be resolved into optically active compounds(BTW, what do we mean by this?pls elaborate) 3) the product format ...

Let " x " and " y " be positive integers such that " xy " divides " x 2 + y 2 + 1 " . Prove that - x 2 + y 2 + 1/xy = 3 . I will add some more if I see that people are taking interest in this . ...

given that a2 + b2+ c2 = 8 prove that a3 + b3 + c 3 ≥ 16 2/3 . ...

Let N0 denote the set of nonnegative integers. Find all functions from N0 to itself such that. \ f(m+f(n)) = f(f(m))+f(n)\qquad\text{for all}\; m, n\in\mathbb{N}_{0}. \ ...

If the velocity of an electron moving in the first Bohr's Orbit of hydrogen has to reduced to 7.27 X 105m,it should be shifted by??? ...

$\textbf{find no. of Integral solution of the equation}\\\\ $\mathbf{x^6 + 3x^4 + 3x^2 + 28 = x^9 - 3x^8 + 3x^7 - x^6}$ ...

One end of a carpet is nailed to an inclined wedge. Carpet starts to open by rolling purely on the inclined plane. As the time passes potential energy decreases and increase in kinetic energy results. Where does this energy g ...

1. In a race course there are 5 tracks .In how many minimum number of chances can you find out the fastest three horses, if there were 25 horses initially. 2. Can you use all 9 numerals - 1, 2, 3, 4, 5, 6, 7, 8 and 9 - above ...

100 mL of aqueous solution of glucose with osmotic pressure 1.2 atm at 25°C is mixed with 300 mL of aquous solution of urea at 2.4 atm at 25°C. the osmotic pressure of the mixture will be 1. 1.1 atm 2. 2.6 atm 3. 1.68 atm 4 ...

problem:Find all function G from the set of natural numbers to natural numbers such that (g(m) +n)(g(n)+m) is a perfect square for all m,n (natural numbers) . solution: Lets take g(m) = m+ f(m) The given expression equals (m+ ...

More iits should be set up in odisha. ...

Q. What are the chain isomers of cyclopentane? Ans: Methylcyclobutane and 1,2-Dimethylcyclopropane. Why not 1,1 - dimethylcyclopropane? ...