Q.8 Find real numbers x, y and z such that (а) (b) 7xi + (y-3)j+ 6k = 10i + 8j – 3zk (x +4)i + (y- 5)j + (z- 1)k = 0

S. (10x- 12) 10. (3x + 1) " (11x-1)" JParanel (2ax-3)" Directions: (Find the value of x. Ex नर (3x - 2) ' 17 151 m23 m25 = 128 477 11.25 है+ १०० 251 12 1D x -11 +3x-2+3x+1418 16x 180 V= 12 12 11 x -1 + 20X-34151 31-4 22 क **** 9 =151 P4 31x x + 1SS अ अ X = 5 (3x-S) (7x + 5) 11. (14x - 13) (4x + 13) डलेले

z2 - 1 – 20 2² – 4z – 5 Simplify: 22 + 9z + 20 22 + 7z + 10 Submit Question

1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In 3)(3x²-1)

DI 8. 2x3(9x2 +5y) 9. (6a+1)(5a+2) 10. -4x²y(x² +7xy-6y) 11. (x-2)(x² search

Evaluate the commutators [Lz, r²] and [Lz, p²] (where, of course, r² x² + y2 + z? and p? = p+ p;+ p?).

which part is A(1) and which is A(2)?

18x + 15 Evaluate - da where 3x2 + 5x + 7 > 0. 3x2 + 5x + 7 First substitute u = 18x + 15 da 3x2 + 5x + 7 Then du Now integrate with respect to u to get + C 18x + 15 So 3x2 + 5x + 7 xp-

b) The polynomial, fW) =2x" +mz -3, where m and n are real constants, is divisible by (x+1) but leaves a femiAder remainder of 156 when divided by (X-3). Find the valves of n and m.