18. Find z by Cramer's rule: (а — b)у + (а + 26)г — (а+ 26)у — (Заb + 36?)z — 36? (а - b)х — 36?z = 3ab bx + (26? + a?)z = 0 - fip

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

A:

Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: We will use properties of partial fraction

Q: G(y) А + Be 10

A:

Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

Q: 3 | (16t3 – 12t? + 6)dt

A:

Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

A:

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: If x2 + 9x + 14 х2 — 49 is divided by Зх + 6 x2 + x – 56 , the quotient is:

A:

Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

Q: -31 If A = [²2² =2²] B = [²34 21 6 -2. Find 2A - (B + A)

A: given

Q: (x3 — 6х? + 7х+ 6) by (х — 3)

A:

Q: 1. 9. 2

A:

Q: splve 15. (12х — 7) - (5х — 12) 16. (5 — Зх) + (2х — 8)

A: 15.  Given a expression,

Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: B) Find m42 if mz1 = (4x - 7)º and m42 (10x+13)°. +11 = 2 P

A: To find m∠2 if m∠1=4x-7° and m∠2=10x+13°.

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: 3. Which of the following is equivalent to 4a2- 25b6 ?

A:

Q: If 16a4 + 36a?b2+ 81b4 = (4a² – xab + yb²)(za2 + 6ab + yb?), then find the value of v(6xyz).

A:

Q: 2. ydx + (3x – xy + 2)dy = 0

A:

Q: ニx%(f09))= 3メと4 ノ9メ)=3メ4\ Find fox=? (fos))=3X+\+3中f=メ+3

A: Applying properties of composition

Q: 8. 2z (z – 1)?

A:

Q: 3x +2y-z = 3 +7z=9 + 5z = 12 (2x-3y

A: