express the given function f in the form f(z)=u(x,y)+iv(x,y) f(z)=(ez^2)

Q: 4) Define on the cartesian product of sets R:=R x R = {(^, z) | A, z E R } an addition and a multipl...

A: We first show that R is a commutative ring. That is we show that R is commutative group under additi...

Q: Give an example of a vector space V over a field F, and of a linear transformation T: V → V that is:...

A: Let V be a vector space V over a field F. and Linear Transformation T:V→V

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Q: You cannot be both happy and rich. Therefore, you are either not happy, or not rich. Now you do appe...

A: This is a problem of Logic.

Q: COMBINATIONS Evaluate each expression. 1. C(22,20) 2. C(12,8) 3. C(24,5) 4. C(20,16) C(20,5) 5.

A: COMBINATIONS

Q: 7. A large steel fuel tank is cylindrical in shape. In order to be light enough to be towed by a tru...

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Q: Obikes aabbcc abbas books

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Q: Evaluate, (z1 + z2)^2 Select the correct response: (z1)^2 + (z2)^2 - 2 z1 x z2 (21 + z2) (z1 – 22) (...

A: Concept: Here the following identity is used: a+b2=a2+2ab+b2 where a and b are any variables.

Q: g: Q→Q defined as g(x) = 7x+16

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Q: Use the definition to find the Laplace Transform of the given function (t, 0st<1 f(t)= OSt<1 1, t21

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: S. dx What is the estimate of the integral using a single application of Simpson's 1/3 Rule? +6x+10 ...

A: Given equation is  f(x) = 1x2 + 6x + 10.The value of table for x and y x 0 0.25 0.5 0.75 1 y 0....

Q: Let p: Hwi win the first round and q: Hwi win the tournament. Write the following statements in symb...

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Q: = U.

A:

Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21 consonant...

A: AS

Q: Find the solution of h (z) = x - sin z = 0.1 using False Position method between 0.5 and 1.2 (use th...

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Q: How many permutations are there of 10 people arranged in a circle? 3,628,800 10 O10!-1! 362.880

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Q: 2. Method of variation of parameters x" + 2x' + 8x = 2e-2t – e-t,x(0) = 1,x'(0) = 0 t+1 2x" + x' + 8...

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Q: If f(x) has a root between a & b then f(a) and f(b) are O both positive O both negative O oppositely...

A: It is directly Oppositely signed by Bolzano Theorem. But, I have explained without using Bolzano The...

Q: orm of the function f(t

A: Introduction: The formula of Laplace transform of eatcos(bt) is given by, F(s)=(s-a)(s-a)2+b2 The fo...

Q: r the following planes. x + y + z = 3, x + 7y + 7z = 3 (a) Find parametric equations for the line of...

A: Given,  Equation of two planes x+y+z=3,x+7y+7z=3 The line of intersection of the planes is to be det...

Q: Which among the following is purely imaginary? Select the correct response: Z= 6 Z= 7-9i Z= -1 +2i Z...

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Q: An alloy of 9 ct gold contains gold, copper zinc and silver in the ratio 9: 12.5: 2.5. (a) Express t...

A: Properties of ratio and proportion If a:b then ac:bc If a:b then ac:bc If a:b then b:a

Q: 1. Find curl(v) of the following in terms of (x1, x2, X3) and (e1, e2, e3). If curl(v) = 0, find the...

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Q: True or False If p and q are false then find the truth value of "if q then not p" If p is true and q...

A: A proposition is a sentence which is either true or false. There are different logical operators use...

Q: Evaluate: 6! + 4!

A: The expanded form of the expression n! is n·(n-1)·(n-2)····3·2·1, where n is any positive integer. E...

Q: Find a vector equation and parametric equation

A: Given, the point (2, 2.6, 3.1) and parallel to the vector 2i + 3j - k.

Q: Problem 1 For two weeks, the highest temperature each day was recorded in four different cities. Lin...

A: GIven: l is the line for Lubbock m is for Memphis n is for New orleans and  p is for phoenix.

Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are c...

A: Given series (i) an=3n+11-2n , (ii) an=(4n+1)3-n , (iii) an=3+(-1)n  and (iv) an=1+(-1)nn4 We have t...

Q: Considering the system of linear equation below, what should be the value of x1 after 2nd iteration ...

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Q: Which of the following is not equal to P(50, 3)? O3 Ps0 O 50 P3 50! 47! 50 x 49 x 48

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Q: Translate into symbolic proof and provide the reason for each step: If I were smart or good-looking...

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal...

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1 ...

Q: Let U be the universal set such that any set is a subset of U. Let A andB be sets. Use elemnent argu...

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Q: 1. true or false. justify your answer. (a) Im(z) > 0, then Re(1/2) > 0. (b) Re(z12) = Re (z1) Re (2)

A: Solutions 

Q: 4. 10x + 4y - 22 = 20, 3x + 12y - 2 = 28, x+ 4y + 72 == 2.

A:

Q: a) Four married couples have bought 8 seats in the same row for a concert. In how many different way...

A:   (a) Given that four married couples are sitting on seats in the same row. To find  (i) in how many...

Q: dx using 4-segment Trapezoidal Rule? 1+x What is the estimate of the integral a. 0.708334 b. 0.69702...

A: Given: Let us determine the estimate of the given integral ∫01dx1+x using the 4-segment Trapezoidal ...

Q: Solve the system of nonlinear equations algebraically & graphically.  (A) x-5 = y (B) x2+y2=53

A: Given equations: x-5=y x2+y2=53 Algebric solution: We shall use substitution. From the first equatio...

Q: 1) How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Let Z be the set of all integers and Q be the set of u rational numbers and R be the set of all real...

A: Given ℤ be set of integers ℚ be the set of all rational numbers and ℝ be the set of all real numbers...

Q: Let U be the universal set such that any set is a subset of U. Let A and B be sets. Use element argu...

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Q: A potato is dropped from a height of 36 feet. Its height above the ground t seconds later is given b...

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Q: Determine if the following argument is valid or if it exhibits the converse or the inverse error. Us...

A: This is a problem of Logic.

Q: 1. y=-3z + 2 and -z+ 3y -6 2 y---4 4 and y-4 3. y= 2z + 10 and 2y - 4z=8

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Q: Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 1 1 0 (a) A= 1 3 2 1

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Q: find all x EIR such that 1z +zl + lz - loog | = (2+ 2015)

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Q: Solve each of the following systems by graphing and determine the solution/s: 1. 4. Зх — у 3D 2 x + ...

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Q: Give an example of a vector space V over a field F, and of a linear transformation T : V –→ V that i...

A: Let V be a vector space V over a field F and T:V→V To Prove : Surjective (onto) but not injective (o...

Q: 2. Lines are parallel (each has slope - no solutions 3. Lines colncide-Infinite number of solutions

A: Let us consider the given linear equations then the equation  Unique solution: If the lines interse...

Q: Evaluate: 6!

A: We have to find 6!