If the mean of n observations ax1, ax2, ax3, ...., axn is aX show that (ax1-aX) + (ax2-aX) + .....+ (axn - aX) = 0

If the arithmetic mean of the numbers x_1, x_2, x_3, ..., x_n is barx, then the arithmetic mean of the numbers ax_1 +b, ax_2 +b, ax_3 +b, ....,ax_n +b, where a, b are two constants, would be

Factorise : a^2 + ax + ab + bx

Given that barx is the mean and sigma^(2) is the variance of n observations x_(1),x_(2),………….x_(n) . Prove that the mean and variance of the observations ax_(1),ax_(2),ax_(3),………….ax_(n) are abarx and a^(2)sigma^(2) , respectively, (a!=0)

Evaluate : int sin (ax + b) cos (ax + b) dx

int (ax +b)^(2)dx

If barx is the mean of x_(1), x_(2), …………., x_(n) , then for a ne 0 , the mean of ax_(1), ax_(2),…….., ax_(n), x_(1)/a, x_(2)/a, ……….., x_(n)/a is

sin (ax +b) cos (ax+b)

Find the equation to the ellipse with axes as the axes of coordinates. axes are 10 and 8 and the major axis along (a) the axis of x, " " (b) the axis of y,

If a,b,c and d are in G.P , then show that ax^(2)+c divides ax^(3)+bx^(2)+cx+d

5. sin(ax+b)cos(ax+b)