`0^@C` = ________` ^@F`

What is the weight of 1 mole of a solute,0.132g of which in 29.7 g benzene gave a freezing point depression of 0.108^@C ? ( K_f for benzene = 5.12)

0^@C or 0^@F which one is lesser?

If f(x)=mx+c (m, c are constant), f(0)=1, f'(0) = 1 , then find the value of f(2)

At 25^(@)C,DeltaH_(f)^(0)= 0 for graphite, but for diamond DeltaH_(f)^(0)ne0 . Why?

Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x) is continuous at x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1) then a. f^(prime)(0^+)=0 b. f^(prime)(0^-)=alpha/(1-k) c. f(x) is differentiable at x=0 d. f(x) is non-differentiable at x=0

If f(x)=ax^(2)+bx+c and f(0) = 2, f(1) = 1, f(4) = 6, then find the valuse of a, b and c.

Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6 and g(1)=2. Show that there exists c in (0,1) such that f^(prime)(c)=2g^(prime)(c)dot

If a, b, c are in G.P. and the equation ax^(2) + 2bx + c = 0 and dx^(2) + 2ex + f = 0 have a common root, then show that (d)/(a), (e)/(b), (f)/(c ) are in A.P.

If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f =0 have a common root if d/a,e/b,f/c are in

f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the condition if f(x) attains the minimum value only at one point.