show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

Q: show that the following function analytic f(z) = 4e²+ Sin Z arp

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Q: log₂ (x+3)+log₂ (x-4)=3

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Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: 6. Find the Laplace transform of the following functions (b) g(t) = te*sinh 3t.

A: Introduction:   The Laplace transformation is very significant integral transformation that is used…

Q: A) Given the universal set U = {0,1,2,…, 10}, let A = {2,4,5,6,7,10}, B = {1,5,6,8} and C = {2,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: For the following simplex tableau (a) Compute the next pivot element. (b) Detern X y u V M 6 2 1 0 0…

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Q: 6. Find the Laplace transform of the following functions (b) g(t) = te * sinh3t.

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Q: show that the following function analytic f(z)= 4e²+ Sin Z arp

A: Explanation of the answer is as follows

Q: The control lever is subjected to a clockwise couple of 78 N-m exerted by its shaft at A and is…

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Q: help me solve questions numbers6

A: As per the question we are given six polar equations and given six  graphs. Now we have to match…

Q: I'm thinking of a graph which has degree sequence (5, 5, 4, 4, 4, 4, 4). How many edges must my…

A: Sum of the degrees is  5+5+4+4+4+4+4=30

Q: Q3: Approximate the integral using Taylor series method: TU 2 S x. cos²x dx

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Q: The complete solution of the ordinary differential equation d² y dy + P dx² + qy = 0 is dx - 3x - y…

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Q: Express the given quantity in the form a + ib. cot(+71) 2

A: Given: cot π2+7i To find: Solution

Q: : Find the divergence of the vector field the point (2,4,1). y F(x, y, z) = x² √yi + =j+zk

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Q: CONSIDER THE FOLLOWING THREE TYPES OF VECTOR SPACES: (a) M2x2 (b) R³ (c) P3

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Q: For the following simplex tableau (a) Compute the next pivot element. (b) Determine the next…

A: For the given simplex tableau We have  (a) To compute the next pivot element. (b) To determine the…

Q: : x d²y dy dx² dx + +my = 0, given that

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Q: 00 Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the…

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Q: Let a graph have vertices n, o, p, q, r, s, t, u and edge set {{n,o}, {n,q}, {n,r}, {n, s}, {n, u},…

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Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: Let x, y, and z be positive integers. Suppose that x2 + y2 = z2. Prove the following. (a) if z is…

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Q: The graph G₁ has 6 vertices, all of degree 3. How many edges does G₁ have? The graph G₂ has 8…

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Q: Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two…

A: Given, Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the…

Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: ex² =e-5x-4

A: Given equation is ex2 = e-5x-4

Q: 2. A group of 10 students includes three grade 11 students. Five students will be selected to go on…

A: Introduction: The binomial distribution is one of the most important discrete probability…

Q: is poured into the tank a te of 2 liters/min. Let y(t ial model for (t) and gol

A: The figure as,

Q: Q1/ Find maximum,minimum OULE ,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

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Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

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Q: In the group Z24, let H =(4) and N=(6). (a) State the Second Isomorphism Theorem. (b) List the…

A: Given  Group is  Z24 , let H=4 and N=6

Q: Let g C[0, 1] be a fixed function. Consider the operator A = B(C[0, 1]) defined by (Au) (s) :=…

A: Compact Operator: A compact operator is a linear operator A:X→Y where X, Y are normed vector spaces…

Q: 1. y' = y (a) Plot the Slope field. You can use GeoGebra or the following:…

A: Every differential equation is studied analytically without solving it. The method is a graphical…

Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.

Q: Consider the initial-value problem y'= y, y(0) - 7. (a) Use Euler's method with each of the…

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Instantaneous rate of change is the slope of the given data . So, basically we have to find the…

Q: Q3. Solve the following differential equation by method of power series: d²y dx² dy +x+9y = 0 dx

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Q: SHOW DETAILED SOLUTION Find an LU decomposition of: a + b  + c = 1 4a + 3b  -1c = 6 3a + 5b+ 3c…

A: Sol LU decomposition : If we have a square matrix A, then an upper triangular matrix U can be…

Q: Find the optimal solution to the following problem. Minimize f (x1, X2, X3) = x₁² + 2x2² + 10x3²…

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Q: Q8. Solve: log₂x + log₂ (x + 2) = log₂ (x + 6)

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Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given: Hypergeometric Probability Distribution To find: Solution

Q: A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit…

A: LPP of given problem is given by Maximize  Z = 90x1 + 110x2 Subject to constraints 2x1 + 4x2 ≤…

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

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Q: State and prove archimedean property and it's corollaries

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Q: There have two matrix A and B [0 2 0 [3 2 11 22 A = 2 0 0 B = 1 LO 0 2 [1 2 1. If CB=BA³, what is…

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Q: Let X be co or lº, 1 ≤ p ≤ ∞o. Consider the operator Prove that U is not compact but U² is compact.…

A: Please find the answer in next step

Q: You deposit Php7500 in an account paying 7.3% simple interest. How much is the interest earned after…

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Q: ind Laplace Transform of the expression. f(t) = e-5 H (t-2)

A: Sol Le-tHt-2 Apply transform rule:  if Lft=Fs then  Leatft=Fs-a

Q: •) TT.). Suppose that X₁, X,... is an independent sequence and Y is measurable o(Xn, Xn+, ...)for…

A: From the above details we have,