[" 10sucluati la gollowings "],[[" (1) "6t^(-1)(6+4)," (1) "sin^(-1)(sin7(pi)/(3))],[" (1) "," (1) "1]]

Prove that the value of each the following determinants zero: (a)|{:(a_(1),,la_(1)+mb_(1),,b_(1)),(a_(2),,la_(2)+mb_(2),,b_(2)),( a_(3),,la_(3)+mb_(3),,b_(3)):}|

Prove that the value of each the following determinants zero: (a)|{:(a_(1),,la_(1)+mb_(1),,b_(1)),(a_(2),,la_(2)+mb_(2),,b_(2)),( a_(3),,la_(3)+mb_(3),,b_(3)):}|

Read the information given below and answer the questions that follow : The following functions have been defined : la(x, y, z) ="min" (x+y, y+z) "le" (x,y,z) ="max" (x-y, y-z) ma (x,y,z) =(1//2) ["le"(x,y,z) +la (x,y,z)] What is the value of ma (10, 4, le (la (10, 5, 3), 5, 3)) ?

Prove that the value of the following determinant is zero: |{:(a_(1),,la_(1)+mb_(1),,b_(1)),(a_(2),,la_(2)+mb_(2),,b_(2)),( a_(3),,la_(3)+mb_(3),,b_(3)):}|

La^(3+) and Lu^(3+) are

solution of (x+y)^(2)(dy)/(dx)=a^(2)*( la' being a constant) is

The correct order of ionic radii Y^(3+) , La^(3+) , Eu^(3+) and Lu^(3+) is (AT. No : Y = 39, La = 57, Eu = 63, Lu = 71)