Find the value of the following
`i^(1+3+5+…+(2n+1))`

Find the principle value of the following sec^(-1)(2/sqrt3)

Find the sum of the following series upto n terms (1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+ …

Find the inverse of the following using elementary transformations. A=[[2,5],[1,3]]

Find the inverse of the following using elementary transformations. A=[[3,1],[5,2]]

Find the value of n, if 12 xx ^((n-1))P_3= 5 xx ^((n+1))P_3

Find the inverse of the following matrics. [[-1,5],[-3,2]]

Find the value of sin[2cos^(-1)(-3//5)]

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals f(x)=(x-1)^2+3,x in [-3,1]

Find the transpose of each of the following matrices: (i) [[5], [1/2], [-1]] ii) [[1, -1],[ 2, 3]] (iii) [[-1, 5, 6],[ sqrt3, -5, 6],[ 2, 3, -1]]

Find the value of lambda if the points. A(-1,4,-3),B(3, lamda,-5),C(-3,8,-5) and D(-3,2,1) are coplanar.