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if f(x+y)=f(x)g(y)+g(x)f(y) and g(x+y)=g(x)g(y)-f(x)f(y) prove that f(0)=0 and g(0)=1 ...

p is the probability that a man aged x years will die in a year.find the probability that out of n men A1,A2,.......,An each aged x years,A1 will die in a year and will be first to die. ...

1) The rate of diffusion of 2 gases 'A' and 'B' are in the ratio 16:3. If the ratio of their masses present in the mixture is 2:3, then find (i) The ratio of their molar masses (ii) The ratio of their moles present inside the ...

How do we differentiate between the compounds containing SO32- and SO42- anions? in all books i've seen ,both the anions ( SO32- and SO42-) have same tests and both give same products. ...

1) How can we say that entropy is a function of probability of thermodynamic sate? 2) Ludwig-Boltzmann statement for Second law of thermodynamics(SLOT): "Nature tends to pass from less probable to more probable state" How is ...

If F''(x) + F(x) = 0 F'(0) = 0 F(0) = 0 prove that F(x) = 0 for all real x ...

Out of H-H and D-D which is having higher bond enthalpy and why? ...

A uniform cylinder of radius R is spinning about its axis to an angular velocity w0 and then placed in a corner.The coefficient of friction beween the orner walls and the cylinder is k.How many turns will the cylinder accompl ...

find the area of the ellipse given by the equation x2/a2 + y2/b2 = 1 ...

How do we separate ethane from monochloroethane physically... like in a reactor? The given situation is that monochloroethane is being produced by chlorination of ethane.. i want more of product.. so i am applying le chatteli ...

Derive the moment of inertia of a rectangular plate having sides a and b about an axis passing through one end and perpendicular to the plate. ...

The lowering of vapour pressure of the solvent takes place ...

lim(x→0) (sin xn)/x = pi/180 for n=? ...

Range of the function f(x)=ln[cosxcosx+1],xE(0,pi/2) (A)(ln(1+e 1/e ),ln2) (B)(ln(1+ 1/e 1/e )ln2) (C)(0,ln2) (D)None of these Ans.(B) is the correct choice. ...

A chem problem:A is immiscible in B; B is immiscible in C; please give an example such that A is immiscible in C. My chem teacher said A=water, B=oil, and C=Hg. However, Hg is an outlier! So, are there any other examples? ...

can anyone plz explain me why electron gain enthalpy denoted by reacton: X + e- → X- of all elements is mostly negative in value.This means that X- is more stable than X for most elements .How? plz explain. ...

q1)fna and gna exist and are not equal for some n . Further if f(a)g(x) - f(a) - g(a)f(x) +g(a) =4 g(x) - f(x) then value of n is: ans is 4 how?? lim ( 1+24+34+........n4 - lim 1+23+33+........n3 ) n→∞ n 5 Q2)expansion of ...

*Image* The side of the square is 1 unit and the circles have diameter as 1 unit.. ...

voltmeters V1 and V2 are connected in series across a d.c. line . V1 reads 80V and has a per volt resistance of 200 ohm , V2 has a total resistance of 32000 ohm . the line voltage is ...

Figure below shows six concentric conducting spheres A,B,C,D,E and F with radii R,2R,3R,4R,5R and 6R respectively.Conducting spheres B and C & D and E are connected using conducting wires as shown in figure.Find the equivalen ...

Prove that 100400 can be written as the sum of two squares of integers....!! Such an easy one....... but a good one though.......!! ...

1.If A and B are two distinct matries such that A3=B3 and A2B=B2A,find the det(A3+B3) and det(A2+B2). 2.Suppose A and B are two non-singular matrices such that B≠I,A6=I and AB2=BA.find the least value of k for Bk=I. ...

If x1,x2 are the roots of x2-3x+a=0, and x3,x4 are those of the equationx2-12x++b=0, and x1,x2,x3 and x4 are in increasing G.P.,find a and b. ...

Q. Why do capacitors block D.C Current and allow A.C Current ? Ans: *Image* :-B........lol........ ...

Show that C12 - 2C22 + 3C32............-2n.C2n2 = (-1)n-1.nCn where Cr stands for 2nCr ...

*Image* ...

A cylinder of Radius R lies on a horizontal surface. What is the minimum possible speed with which a stone can be projected so that it is just able to cross the cylinder? ...

A force F1=Aj is applied to a point whose radius vector r1=ai,while a force F2=Bi is applied to the point whose position vector r2=bj.Both radius vectors are determined relative to the origin of co-ordinates O,i andj are the ...

I don't know how to solve it, But I thought it will be nicer for those who know how to solve it : *Image* ...

for x in [-pi,pi] solve: *Image* this is wat my book says....but i m surprised by equation -cos x =cos x??? experts help!!!! ...