Express in sigma notation. (a) a1 = a2 + Az - aq + ag (b) -bo+ b; - b2 + bg - b4 + bg

Q: What is the modulus of: 1. (i + 1) (2 - i) 2. 4 + √5i 3. 2 - 3i

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Q: 1. S(tan 0 – 1)² do

A: Given,∫tanθ-12 dθ

Q: -) In = O.015 (0.5-4 In) -> -> Io = :00375 + 0.9I," - o.6 ID 0.9 J,-1.6 Io to 00375 = 0 Tp> 2.2 4 J…

A: Answer is actually wrong, calculation is wrong.here is the right solution.

Q: +...+ n2 151

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Q: |3x+2l+1 = 6

A: Given, 3x+2+1=6

Q: prove the ged (atb,a?+b³) =16Y2 assuming that gcd (a,b) =1 •

A: It is given that gcd(a,b)=1

Q: Let 2 A = 9. -1 (a) Show that A 3 (2+3i) 3

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Q: (3-4i) (2+i) (2-4i)(6+8i) Ihe modulus above equivalent to 2

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Q: What is the value of of 112k 0.1] [a] .

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Q: he mean weight of female nurses working at a local hospital is at least 147 lbs. Express the null…

A: Determine the null and the alternative hypotheses. The given hypotheses represents whether the valid…

Q: Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U…

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Q: gcd(a,b) = (a+b, lcm(a,b))

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Q: |z+2i|=|z+1- 3i|

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Q: 14. Prove that AC B if and only if An BC= 0.

A: The objective is to prove the above question.

Q: b) cos(55) 4 b)

A: First, we need to calculate the value of cos(55). The cosine of an angle in a right triangle is…

Q: 1. Simplify the following and find the modulus: ((5 + 0)V-9 +2 i(150– 0 ) ) + 2(v=27 + 7 i75+ 0 )

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Q: b) cos(55) 4 b)

A: First, we need to calculate the value of cos(55). The cosine of an angle in a right triangle is…

Q: Secoslsin-ta)av

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Q: Find the coefficient of determination.  X Y 7 11 12 15 14 20 18 26          a) 0.957  B)…

A: Correlation: It tells how the variables are linearly related with each other. It represents the…

Q: 10. Prove that Z has no smallest element.

A: we will prove it by contradiction, Suppose x belongs to Z  is the smallest element.

Q: An excercise: Find all the left cosets of in S4

A: We have been given S4, a symmetric group. We have to find all the left cosets of <1 2 3 4>in…

Q: 5. Given z = 3 – i, find the i. Modulus ii. Argument Hence, express z in trigonometric and…

A: The modulus and argument of complex number is given as follows :

Q: Let x and y be positive real numbers. Prove that a + y > 2/xy.

A: See solution below

Q: 7.1 12

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Q: Tutorial Exercise Determine whether the series is convergent on Š1+ 10" n=1 Step 1 The series 1 +…

A: To solve the following problem

Q: Write a two-column proof to show that if ZWXYZ ABC, then WXYZ ABC. ZWXY ہے Given: WXYZ ABC Prove:…

A: We can answer the question as below by following the instructions.

Q: Express e in a+ib form. a) 0-e'i b) 0+e'i c) -ei c) e+ei Answer O A OB D

A: Any complex number z=x+iy can be expressed in its polar form as z=reiθ. We know that eiθ=cosθ+isinθ.

Q: rly). Let a) Evaluate r(20)

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Q: For C) Compute the coefficient of determination ( to 3 decimals)  ??

A: Given the data of production Volume and Total cost as shown belowProduction Volume(units)(X)Total…

Q: 10 7 Find cot 0. 10/51 A) 51 B) V5T 10 51 A В

A: Topic - trigonometry Perpendicular is the side opposite to given angle Hypotenuse Is the side…

Q: NEED ASAP what is the modulus of -⅝+j 7/18?

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Q: Prove the following using trig identities

A: