The result of the operation (3–2i)(2+3i) 3-4i is: Select one: ; 63 25 16 25 16 63 25 25 63 + i 25 16 25 23 + i 25 16 16 25 %3.

Q: Evaluate (-2 +2i )5

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Q: Perform the following operations. A. (-3, -5) + (6, 7) = B. (8,-4) (9, 2) =

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Evaluate (9 + 4i)6

A: Let z=9+4i r=92+42=97 tan θ=49 ⇒θ=0.133π ⇒z=97cos 0.133π+i sin0.133π Now, By De-Moivre's theorem:…

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

A:

Q: Determine which of the expressions are equivalent. Equivalent Expressions # 31(-2+ 51) # 41(5+ 21) –…

A: Two expressions are said to be equivalent is the value of both expressions are the same. Consider…

Q: (14+ x) ÷ 2 when x = 4

A: Note: It is being assumed that the expression: (14+ x) ÷ 2 needs to be evaluated when x=4.   In the…

Q: Find the principal values of (4+3j)3+4j.

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Q: 4 12 ↑y 4. 2- [0] -2

A: Given graphWe have to find the inverse of it.

Q: 2/21-V28 – 275

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Q: Find x, and x2- 30 X2 - 46

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Q: Find 3A.

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Q: veify For nzl that 2n t i73+5 tn t (2n-1)

A: To verify : For n≥1 ,   prove that 12+ 32 + 52+........+ (2n-1)2 = 2n+13

Q: Find the value of ODOO to

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Q: (3x + 9)% (4y + 8)° (2y-14)°

A:

Q: Find the inverse of AB if 22 A and B-1 (AB)−¹ = = 5 3 2 -3 1 2 00

A: Recall: AB-1=B-1A-1

Q: Simplify the following:

A: Given

Q: Compute: 5 2 3 3 18 2 - 3 5

A:

Q: If 2x-y=4 then 6x-3y=? Select one: a. 0 O b. 18 C. 12 d. 15 e. 10

A: Let 6x-3y = t

Q: Perform the indicated operations when A= A(I + A) = = -1 2 [4² 0 1

A:

Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

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Q: 4. You are given: 7800-70t- 1? P30 0SIS TO 7800 Find qso-Hs0-

A: The given formula for tp30 represents the probability of an individual aged 30 years to survive the…

Q: Find AB given that: 2 -4 170 A -35 11 and B- 0 -2 8.

A:

Q: find the inverse

A: TO FIND  THE INVERSE OF THE MATRIX LET A= 1-222-313-41 FORMULA USED A-1= (AdjA)'A A not equal to…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Given x1 = 1, x2 = 4 and x3 = -2, %3D %3D

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Q: Find the following expressions if a = (6r, 0, ½r), b = (4s, –s,8s), and c = 1. a. b = 2. a c= 3. b.…

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Q: 18-7х b. 5-6х 5x+9y 7у-12х 3+11х 2. 5х-2у 5х-2у -6х+5

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Q: (6 + 5i)4 Calculate: (5 + 2i)4 O (5.25 + 1.3i) O (4.64 - 4.5i) o (2.54 - 6.2i) O (1.37 + 4.2i)

A: We know, i2=-1

Q: 40x - 5

A: We are given the following figure.

Q: 6(2x + 5)  = 10(4 + x)  then  x = Select one: a. 15 b. 5 c. 20 d. 10

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Q: -7 -5 Let A = Find -2A. 2] 1.

A: Given, A=-7-512