4. Given that z₁ = 1-5i and 22 = 3 + 4i, find (a) Z1/Z2 (b) Z1/Z2 (c) 21/Z2

Q: Which number is equal to e-i2m3n/32 (n) ei273n/32 (U) ei2n29n/32 (A) ei2m6n/32 (1) ei2726n/32

A:

Q: 5(2-3i) – 4(4+6i)

A:

Q: Let P(x) be the statement "x spends more than five hours every weekday in class," where the domain…

A: Given that P(x) : x spends more than five hours every weekday in class. (a) ∃xP(x) This can be…

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: Find all solutions of (a) 4 = -1 24 (b) 2³ = 8i (c) 25 = 1 (d) z² = 1 + i

A:

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: b) (9x²-6x+26) *

A:

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

A:

Q: Express the following in the form a + ib (for real a and b): 1 (a) 6+2i (b) (-+ i)¹ (c) i², i³, i4,…

A:

Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

A:

Q: (1-6i)/(-10+8i)

A: Let

Q: -5x +3x – 28 dx (x – 1)(x² + 9)

A:

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

A:

Q: √(x³ + 2x² + x -5) e 2X dx

A:

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: find (1+2i)^5/3 write your final answer in a+bi form

A: We have to express in terms of a+bi.

Q: 5) (2i – 4) – (6i + 8) -

A:

Q: m(z + 3i) = 6

A:

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: 30) What is the difference when (4 – i) is subtracted from (2 + 5i)?

A:

Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

Q: (15x - 8) 226

A: Given,

Q: why can't formula #5 be applied to ∫ xdx/ (5+7x)^2

A:

Q: what is the answer for (-4-5i)(3-3i)

A: To multiply the given two complex numbers.

Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: Q3) Solve x2ỹ –- 2xỹ + 2y = x

A:

Q: 6. Solve the following equations for z.(choose one (a) (2+ 3i)z = (2 – i)z – i (b) iz + 2i = 4

A: