If `sqrt(2)=1.414, sqrt(3)=1.732` and `sqrt(5)=2.236`, find the values of the following.
(i) `sqrt(98)` (ii) `sqrt(300)`
(iii) `sqrt(128)+sqrt(48)` (iv) `2sqrt(75)-3sqrt(12)`
Correct Answer - `.^(7)C_(3)` or `.^(7)C_(4)`
Sum of the coefficient in the expansion of
`(x-2y+3z)^(n)` is `(1-2+3)^(2) = 2^(n)` (putting `x = y = z = 1`)
`:. 2^(n) = 128`...
Correct Answer - `(i) (5,oo)` `(ii) (5,7]` `(iii) R` `(iv) x in phi` `(v)(-oo,2)uu(8,oo)` `(vi) (-oo,-2)` `(vii) x in (0,(1)/(3)]` `(viii) x in (-oo,-4)uu[(1)/(2),(8)/(7)]`
Given :
Mass of water = 18 g,
Mass of ethanol = 414 g
To find :
Mole fractions of water and ethanol
Formulae :
Mole fractions of A = \(\frac{n_A}{n_A+n_B}\)
Mole fractions of B = \(\frac{n_B}{n_A+n_B}\)
Calculation :
Number of...