Perform the operation if possible. (If an answer does not exist, enter DNE.) 1 3 2 -1 2 5 4

Q: I+ i Simplify the following: 1-i A) 2i B ) i © 2+ 2i^2 D) 2

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Q: Garaph the equation ri 2+2coso

A: The graph shape is cardioid

Q: I What the coefficient of 2 is in he exptession yx +y? a) y? 2. b) y c) I

A: A coefficient is a multiplicative factor in a polynomial. It is usually a number but it can also be…

Q: |exp(2* + i) + exp(-iz?)| < e*-3ry? . Show that |exp(2* + i) + exp(-iz2)| < e*-3ay? + e2wy

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Q: The imaginary unit i is a number such that: i =V-10 %3D i? = -iO i3 = -10 it=10

A: Given that  The imaginary unit i is a number such that

Q: solue the o. Es- O xy=4x²+7xy+29². %3D

A:

Q: (A) Given A = 3i + 5j , B = -4i + j Find the à +B , à – B & Ā. B

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Q: "a) (3+i) (2i)-i 10

A: The given expression is 3+i2-i2-i.

Q: B=i-3)-k, A= 31 - +k tA-B+C=0 l (C) sial asl

A:

Q: a+b Let a * b = 2 What is its identity element?

A: Group theory: Identity element of the group

Q: Pr[A U B] = 0.90, Pr[A] = 0.70 and Pr[B|A] = 0.40. Find Pr[B].

A: Given data, P(A U B)=0.90 P(A)=0.70 P(B|A)=0.40 P(B)=?

Q: Solve for x (use law of cosines) 6. 10 130.5 degrees 80.4 degrees O 60.3 degrees O 117.1 degrees

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Q: 12 A C x= m/B= m/C= (3x + 2) B (don't forget the degree symbol) (don't forget the degree symbol)

A:

Q: The value of (i)" is =

A: We know that ln(x + iy) = { (1/2) ln (x^2 + y^2)} + i arctan(y/x)   &amp; i^2 = -1

Q: Evaluate E-, 2i – i? а. -3 b. -1 С. 1 d. -2 e. 0 е.

A: The given expression is, ∑i=132i-i2 On simplifying, we get the expression as,…

Q: ives us the equation (3- 3i)V, = -6 V, %3D

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Q: lication (APP) A 15' D 72 C 4.3 km В

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Q: Pr[A u B] =0.80, Pr[A]=0.10 and Pr [B | A]=0.30. Find Pr[B]

A: Solution: Given information: P(A∪B)= 0.80 PA)= 0.10 P(B|A) = 0.30

Q: Fill in the blank/s : If c &gt; 0, |u| &lt; c is equivalent to ............. &lt; u &lt; ...........

A: Fill in the blank/s : If c &gt; 0, |u| &lt; c is equivalent to ............. &lt; u &lt; ...........…

Q: 5) x + 2 :+2 Find de Also, show a check.

A: Topic: integration

Q: 9 D x (3x + 6) m/CAB = m/ABC = m/CBD = B -24° (2x + 18) A (don't forget the degree symbol) (don't…

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Q: 20. Use the Law of Cosines to solve for x 21 26 16

A: In a triangle with side lengths a,b,c; according to cosine law: c2=a2+b2-2abcosα where α is the…

Q: Find a + b, 2a + 3b, |a|, and |a − b|. a = 5i + j,    b = i − 2j

A: Obtain a + b, 2a + 3b and |a| as follows.

Q: n(AU B) = %3D

A: n(A) = 14 + 6 +1 + 5 = 26 n(B) = 15 + 6 + 1 + 7 = 29 n(C) = 6 + 7 + 5 + 1 = 19 n(A and B) =6 +1 = 7…

Q: P(A) = .2000 %3D P(B) = .1000 %3D P(A | B) = .2500 Find P(A and B).

A: We have given that, P(A) = 0.2000 ,   P(B) = 0.1000 and  P(A/B) = 0.2500   We know that, P(A/B) =…

Q: Find the value of i° (A А) i B) -i с) 1 D -1

A:

Q: Find a · b. a = 8i + j,    b = i − 7j + k

A: Dot product a.b?  Where a = 8i + j b = i − 7j + k

Q: nere h(1) = 5, g %3D

A:

Q: proke that lose ch?e %3D (0nsiden

A: To prove that Cosech^2x=coth^2x-1

Q: Evaluate (-i/2)ei(π/3)

A: Let given complex number is z=(-i/2)e^i(π/3)

Q: method; Ina VUna) -g

A: Convert Cartesian coordinate system into polar coordinates system. Question 1 is solved. Solving…

Q: AD = 12x - 11, and BC = 9x - 2. Find the value of x so that ABCD is isosceles. D

A: The solution is :

Q: a) Account for the signs of the parameters a, b and c. b) Determine whether the discriminant is d >…

A: A function p(x)=anxn+an-1xn-1+...+a1x+a0, where ai∈ℝ, an≠0, n∈ℕ∪0 is called a polynomial function in…

Q: SC₁+ Fuj³d₂ dn

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Q: ompute J(t? +t – to ce there is no x b) =

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: 2i C. 5+i

A: Question:-  2i5+i   Rationalize the expression ⇒2i5+i⇒2i5+ix5-i5-i2i5+i⇒2i5-i52-i22i5+i⇒10i-2i252-i2…

Q: simplify the expressions a) (1+3i)/(2-i) b) (2-i)/(2+i)

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Q: Square X represented on the coordinate grid below is to be rotated 270° clockwise about the origin.…

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Q: ion # 19 b+c=8, ab+ bc +bc+ ca-17, abc =10, then the value of (2-0(2-6)(2-)is:

A: Given: If a+b+c=8 ab+bc+bc+ca=17   abc=10  To find: (2+a)(2+b)(2+c)

Q: Find the magnitude of the yector v = 2j. %3D Write your answer in simplified radical form. j

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Q: Directions: Find the value of x. 5. J 31 (9x + 23)

A: Given

Q: Find the value of i^3

A: The value of i^3

Q: Pu 20u ôu =0i 2

A:

Q: nelp video In parallelogram DEFG if EH=23 find HG. E G APR

A: we know that diagonals of a parallelogram bisect each other and equal to each other. see 2nd step.

Q: ebiz -dæ = A+iB.Then sin5x da =? x² + 25 ² + 25 5 5B 5A A B.

A:

Q: Exercises:Find the principal values of the following: 1. 2i 2. el+2j 3. jl+2j

A: 1) Given complex number is of the form ab.  ab=ebloga 2j=ejlog2=cos(log2)+jsin(log2) 2)…

Q: show work In AABC, DE || AC.. 10 B C 4 E x+3 Your answer Insert a Math Equation

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Q: A. V100 in. V36 in. B C (AB)? + (BC)² = (AC)² %3D BC =_ in. %3D

A: AB = √ (36) In. AC = √(100) In. BC = ??. Using pythagoras theorem (AB)2 + (BC)2 = (AC)2…

Q: Write a in the form a = a-T+ a,N without finding T and N. r(t) = (2 + 8t)i + (t- 2)j – 8tk a =T+[N

A: Solution

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.