If h = 1 then prove that (E⁻¹Δ)x³ = 3x² − 3x + 1.

If f(x) = x² + 3x then show that Δf(x) = 2x + 4

Using graphic method, find the value of y when x = 48 from the following data:

x	40	50	60	70
y	6.2	7.2	9.1	12

The following data relates to indirect labour expenses and the level of output

Months	Jan	Feb	Mar	Apr	May	June
Units of output	200	300	400	640	540	580
Indirect labour expenses (Rs)	2500	2800	3100	3820	3220	3640

Estimate the expenses at a level of output of 350 units, by using graphic method

A second degree polynomial passes though the point (1,-1) (2,-1) (3,1) (4,5). Find the polynomial.