Evaluate: `(0. 2)^3-\ (0. 3)^3+\ (0. 1)^3`

Evaluate: 1. 5^3-0. 9^3-0. 6^3

Evaluate 0.2^3 + 100.45^0

Prove that: ((0. 6)^0-\ (0. 1)^(-1))/((3/8)^(-1)\ (3/2)^3+\ (-1/3)^(-1))=\ -3/2

Evaluate: (1.2 xx 1.2 + 1.2 xx 0.3 + 0.3 xx 0.3)/(1.2 xx 1.2 xx 1.2- 0.3 xx 0.3 xx 0.3)

without actually calculating , the cubes , find the valuse of (i) ((1)/(2))^(3)+((1)/(3))^(3)-((5)/(6))^(3) (ii) (0.2)^(3)-(0.3)^(3)+(0.1)^(3)

Evaluate: (i) 3[(5),(-2)] (ii) 7 [{:(,-1,2),(,0,1):}] (iii) 2[{:(,-1, 0),(,2,-3):}] +[{:(,3,3),(,5,0):}]

Let A={0,\ 1,\ 2,\ 3} and R be a relation on A defined as R={(0,\ 0),\ (0,\ 1),\ (0,\ 3),\ (1,\ 0),\ (1,\ 1),\ (2,\ 2),\ (3,\ 0),\ (3,\ 3)} , is R reflexive? symmetric? transitive?

Find the mean and standard deviation of the following probability distribution: x_i :\ -1\ \ 0\ \ 1\ 2\ \ 3 p_i :\ \ 0. 3\ 0. 1\ 0. 1\ \ 0. 3\ 0. 2

Find the inverse using elementary row transformations: [(1, 3, -2),(-3 ,0 ,1), (2, 1, 0)]

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)