Miscellaneous T...

By using Newton-Raphson method, the root of x⁴ - x -10 = 0 , which is nearer to x = 2, correct to three places of decimal, is

In the usual, notation, the value of ∆ ∇ is equal to

By the False position method, the root of the equation x³ - 9x +1= 0 lies in the interval (2, 4) after first iteration. It is

If f (x) = a,a ∈ R, then

∆² (3e ^x )is equal to

If f (1) = 10 and f (2) = 14, then using Newton's forward formula f (1.3) is equal to

The vertex connectivity of any tree is

In the group G = {l, 2, 3, 4, 5, 6} under ⊗₇ , the solution of 4 ⊗₇ x = 5 is

In the group G = {0,1, 2, 3, 4, 5} under addition modulo 6, (2 +₆ 3^-1 +₆ 4)^-1 is equal to