Given : 3u + (1 – i)v + (3 + 4i)w = (46 + v3)(1 – i) (5+ 2i)u – (6 + 2i)v – (2 + 5i)w = (-34 – 6v3) + i(66 – 2/3) ov3) + i(66 – : | 3iu + 5v + 2(1 + i)w = 5(1+ v3) – 17i Find: |w| – |v| – |u].

Q: Integrate the given expression. [(4x + 2)2 dx A 16 x 3 + 8x 2 + 4x + C 3 B) 32x+ 16 + C (c) 16x 3 +…

A: ∫4x+22dx =∫16x2+4+16xdx =16x33+4x+8x2+c

Q: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

A:

Q: xdx 3 (5–4x-x2) Z

A: We have to evaluate the integral

Q: Example 4.8.2 Simplify the following expressions: (a) Cov(8X +3,5Y – 2), (b) Cov(10X - 5, -3X + 15),…

A:

Q: S ((V80 – x2 ) – (0.3cos (1.2r + 1.3) + 5) d -(0.3cos(1.2x + 1.3) + 5) )dx

A:

Q: Verify (a × b) × c = (a ∙ c)b − (b ∙ c)a if a = 4i + 2j + k , b = 2i − j + 7k and c = 2i − 2j + 3k

A: Given that a = 4i + 2j + k , b = 2i − j + 7k and c = 2i − 2j + 3k To verify  (a × b) × c = (a ∙ c)b…

Q: on f(x)

A:

Q: Solve, z2 - 4z + 5 = 0 Given that z, = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, determine…

A: Given equation is, z2-4z+5=0 Now, z=4±16-4×52⇒z=4±-42⇒z=4±2i2=2±i So, the solutions are z=2+i, 2-i

Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: B (4x+12 (3x+14) D. A) x = B) mZB = %3D C) mZA = %3D

A: We are given a parallelogram ABCD. We need to find x and the measure of angle B and angle A.

Q: 2.((7+8i)(4+7i))

A: Solution (7+i8)⁶(4+i7)⁶=((7+i8)²)³((4+i7)²)³ » (49-64+112i)³(16-49+56i)³ »(-15+112i)³(-33+56i)³ »

Q: QUESTION 1 Rewrite 32⁹x/7 and 1 8x/11 128 in the form 4x 10/01 or ALT+FN+F10 (Mac)

A:

Q: What is equal (1 + 5K + 3J ) (1 + 2I+ 3K)-1? Write the coefficient at J & K ?

A:

Q: 3 | (16t3 – 12t? + 6)dt

A:

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

A:

Q: If z, = 12 +5i and z, = -5-3i then find: Z2 2- zzlz -I Z2 3.

A:

Q: Compute: 19 (4-2i)(4+2i)

A:

Q: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

A:

Q: If v = 7i + 3j and w = 4i - 5j, find 6v - 3w.

A: Given v=7i+3j and w=4i-5j We have to find 6v-3w. 6v-3w=67i+3j-34i-5j=42i+18j-12i+15j=30i+33j

Q: b) 3 +4 1.

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

A:

Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: (4) 9Afi - fiAgi (a) Show that A 9i 9i+1

A:

Q: –4(–6m – 7).

A:

Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

A:

Q: Yz 3-4i, what is in standard form a + ib? 3. 3 (a) 4. (b) 3+ 4i (d) -- (c) -3+ 4i (0) 25

A:

Q: m(z + 3i) = 6

A:

Q: If y x4x+3, then 2ix+3ix3 2i 3ix3 O (4x+1)/4x+3 2Ax+3 2x vi3Ar3

A: The function is given by,

Q: What is Im (i (3 + 2i) (7 +5i))?

A: Given that the complex number Imi3+2i7+5i   .

Q: 8. 2dx 3 3x

A: Given