Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

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Q: COMPLEX NUMBERS Find the roots. Kindly show the step-by-step solution. Thank you! GIVEN: z3 = 2 - ...

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Q: Factor 977101 by Pollard's p-methond; use the function f(x) =x+1 with seed xo = 2.

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Q: 3 -2 -45 -5-

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Q: #2. Use mathematical induction Il to prove that for all integers n2 5, 1 + 4n < 2".

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Q: Find the root of f(x) = (x – 4)° (x + 2)= 0, using the initial guesses of x = -2.5 and x, = -1.0, an...

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Q: One solution of the differential equation is given. Find the general solution. y)-y"-12y'-40y 0, y e...

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Q: lcu Iculator is a monthly

A: Solution:- We know, Hire purchase price = Required Deposit (or Down Payment) + Total Amount paid thr...

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

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Q: Evaluate the integral sin^4 e de from 0 to Tt/2 * T/4 O 2r/3 O 31/16 О З1/5

A: We have to evaluate the integral ∫0π2sin4θdθ. Use the reduction integral formula, which is given bel...

Q: sin x cos x 1 - sin x 2 sin x 2 cos x Зcos x -1

A: Here given D=sinxcosx1-sin x2sinx2cosx3cosx-1

Q: If the universal set is given by S = {1,2,3,4,5,6), and A = {1,2}, B = {2,4,5), C = (1,5,6) are thre...

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Q: Solve the initial value problem below. 3y6) +2y" = 0, y(0) = – 1, y'(0) = 0, y"(0) = 1 y(x) =

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Q: A 50 gallon storage tank initially holds a saltwater solution containing 100 grams of salt dissolved...

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Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

A: Given: Fn is a Fibonacci sequence, with F0=1=F1. To prove: For every integer n≥0, gcdFn+1, Fn=1.

Q: Let X = the integers. Let Y = {0, 1, 2, 3, 4, 5}. %3D Let f : X Y be defined as the remainder when x...

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Q: Determine the value of p (where |p| corresponds to the distance from the vertex to the focus) of the...

A: Given: Vertex of parabola is 6, 7 and x-intercepts are 3, 0 and 9, 0. To find: Value of p.  

Q: 3. If G = (2x²y – x*)î + (e*y + y sin x)j+ (x² cos y)k, find: %3D дхду

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Q: Suppose V is finite-dimensional, T E L(V) has n = dim V distinct eigenvalues, and S E L(V) has the s...

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Q: if |f] is in L^1(A), then his in L^1(A)?

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Q: 4. Use the method of undetermined coefficients to solve y" + 5y' + 4y = e¬4. If the initial conditio...

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Q: Please answer this mathematics question very clearly with all steps and explanations, thanks in adva...

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Q: a) Is there exists a linear map T: R² → R² for which T(7,7) = (4,-5) and T(2,2) = (8,-2)? Justify yo...

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subpart as n...

Q: Provide a direct proof of the statement below. Let a, b, and c be integers. If a|(a+b), then alb.

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Q: ду Assume that the relation In (x°z°12) + 6(x – 1)y + 512xz + 729y°z=0 defines y implicitly as a fun...

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Q: Create a truth table for (p V q) Ar.

A: Given expression is (p∨q)∧r

Q: Encrypt the plaintext: "MATH" using the formula C (x) = (P(x)- 10) ( mod 26) Use the table given bel...

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Q: (1) If the general solution of the PDE is Zr e+g(x-logz) then find the PDE.

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all ...

Q: Find the Laplace transform of tet-1u(t-1)

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Q: D=7e 7x. [0,00) s Property 2 of the definition of a probability density function? The area under the...

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Q: Scott surveyed 40 friends on Facebook and asked them where they were born and where they went to col...

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Q: Consider a closed storage tank S with walls given by the curved surfaces x = y', z > 0 and r = 2 – y...

A: 1st we will draw the diagram of tank and then find limit for all variable to use integration as surf...

Q: Find the Laplace transform of t cosh 2t

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Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1<x < 1, -1< y...

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Q: Let y be a solution of the differential equation cos y sin y de = ), where sin y > 0, for all y such...

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Q: (f) A calculator is sold under hire purchase term. A deposit of 560/- is required and a monthly inst...

A: given ,under  hire purchase term , deposit  = 560  (required) cash price of the calculator = 3820 an...

Q: Find the inverse of the matrix and the identity matrix A= 4   2  - 3       1  -1   2       5    3...

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Q: and W Consider the subspaces V = {(x. v. Z. w) : 6x = w, y = 3z} ((x, y, z, w): y-4z + 2w = 0} of ve...

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Q: a. Find the most general real-valued solution to the linear system of differential equations -2 -36 ...

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Q: a² sin(2y – 52) =1+ycos(6zx) 4.xsin(2y – 5z)+ sin(2zx)6zy O A. cos(2y – 52)(-5)a² + sin(3zy)6xz 4.xs...

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Q: From the book: heart of mathematics 4th edition.

A: We formulate the new number as     0.x1x2x3..... Here, x1 : any digit other than the 1st digit after...

Q: 1 2 Is A stable? a) Let A = 2 4 2.

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Q: Q: Let f(x) = x² – 2 - 2 < x < 2, period = 4 Sketch the graph of f (x) 2- Is f(x) odd or even, or ne...

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Q: (4) Consider the following set: S = {(x, y, z) E R | xy + yz + x = -2}. (a) Show that S is a surface...

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Q: Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) С. Р(В...

A: Part 2. P(A) = Probability that the state name begins with A through M          = (11+15)/(11+15+13+...

Q: Given the function f (x) = 4x4 – 24x2, determine all intervals on which f is both - decreasing and c...

A: Given function is fx=4x4−24x2. We have to determine the intervals on which f is both decreasing and ...

Q: bject name ( Discrete Structure) Prove statement by m

A: To prove that,  ∑i=1n-1ii+1=nn-1n+13 for all integers n≥2.

Q: Being fa function with continuous second derivatives, defined by: z = f (xy, a² + y*) If we take u =...

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Q: please answer letter a only

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