If f(z) = u+iv is an analytics function.where u and v are conjugate function. Given one of these say u(x, y) to find the other v(x, y).

Q: (a) Find the general solution of the given system of equations. -1 -4 x' 1 -1 ? x(t) = c1 |(:) ?…

A: Given that  x'=-1-41-1x                 (1) Therefore,  writing the given system of equation (1) as…

Q: = e* +cos x+-sinx+- 21 +x" Find general solution

A: we have to find the general solution of given differential equations

Q: Question 1[ Consider the system of linear equations X+2x,-x3= 2 2x, +3x, +x, = 11 3x,-x,+4 x, = 13…

A: Given system of linear equations is of the form AX=B. Then the augmented matrix is A|B. We will…

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used…

A: Given: Group 8) Total length of string 64 cm.

Q: Solve the linear programming problem. Maximize P= 4x+ 4y 2x + y s 30 x+2y s 24 Subject to х, у 2 0

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Q: ėt, Cost Cos 2t

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Q: 10. f(a) = (1+4.x)²

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Q: Find Df and Duf to:- XZ on the point (,,1) inthe direction of V = 2i -3j+6 K. %3D soLiin ansi- lo

A: Directional derivative of the function.

Q: | Consider the system of differential equations j' = ; 5, F0) = [- Verify that ý(t) = Ce2t +cest is…

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Q: 1. (a) Find the Taylor series of In(r) about a for a > 0. Your answer should be in sigma notation.…

A: Introduction: A function's Taylor series is an infinite sum of terms defined in terms of the…

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

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Q: 5. y/56) = e" + cos x+-sin x++x 3x Find general solution

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Q: You are given a technology matrix A and an external demand vector D. Find the corresponding…

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Q: 3. Let W = ((1,2,3,6), (4,–1,3,6), (5, 1, 6, 12)) %3D W2 = ((1,-1,1,1), (2,-1,4, 5)) %3D be…

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Q: Evaluate the iterated integral. 7/2 7 cos (x + y + z) dz dx dy

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Q: -3 -3 x' х. -k -3 || 3 (a) Solve the system for k= What are the eigenvalues of the 2° coeifficient…

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Q: find a homogeneous linear system of two equations in three unknowns whose equation in three unknowns…

A: For the solution of the problem follow the next step.

Q: Find the volume. 1.5 m 1.5 m 50 cm 2 m 2 m

A: To find the volume.

Q: If the Z-score of a certain number is -0.440, with a mean of 80.2 and standard deviation of 11.811,…

A: Given Z-score = -0.440 Mean = μ = 80.2 Standard deviation = σ = 11.811

Q: Question 2 | Consider the following Initial Value Problem -у - у %3D2ух — 1, у(4) 3D 2. a) - Use…

A: Euler's formula for initial value problems is yn = yn-1+hfxn-1, yn-1

Q: (b) In a simulation, an opponent's ship is positioned 32 cm away horizontally. Explain why the test…

A: Introduction: A quadratic function is expressed as y=ax2+bx+c Here, a,b,c are constants with a≠0.…

Q: each problem, use the method of cylindrical shells to find the volume of the solid that Its when the…

A: In this question, the concept of volume of rotation is applied. Using the method of Cylindrical…

Q: It is known that f(1) = 2, f'(1) = -1, g(1) = 0, and g'(1) = 1. If F(x) = f(x) cos cos (g(x) ), then…

A: Given information f1=2f'1=−1g1=0g'1=1 And function is Fx=fx⋅coscosgx Now, differentiate…

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenval

A: To find the eigenvector of the matrix for the corresponding eigenvalue. Matrix: −24−148446…

Q: 3. 12. f(г) - 4 - х

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Q: 1. Solve the d.e. y"-9 y+20 y = 0 three different ways: (i) by finding the roots of the associated…

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Q: Question 2*. Prove, using mathematical induction, that 1 1 1 1 n +... + 1 3 3 5 7 (2n – 1)(2n + 1)…

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: Let E be the region bounded above by a? + y? + 2? = 10° , within 2 + y = 6°, below by the re plane.…

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Q: Let a(n) count the maximal number of edges for an order graph with no four-cycles. Find the first…

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Q: Find a power series representation for the function and radius of convergence

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Q: function. a) b) Domain: Domain: Range: Range: Function: yes / no Function: yes / no

A: Note- “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A: Committee selections , using permutations and combinations

Q: A pound of creamer potatoes contains 11 small potatoes. They are purchased in 50-pound bags for…

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Q: Use the currency exchange rates in the table for the following question. Currency British pound…

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Q: Find parametric equations for the curve with the given properties. The circle x2 + y2 = a2 (x(t),…

A: Parametric equation of the circle

Q: Let 2 8 -1 -6 4 1 7 A = -1 -4 1 7 1 -1 7 8. The matrix 1 0 4 1 5 1 1 3 9. U = 0 0 6. 1 8 0 0 1 7 is…

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Q: Suppose that B and C are ordered bases of R. Find the conversion matrix from B to C.

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Q: Given the equation of a function 2x² + 5y² - 16x + 20y + 108 = 0, translate the origin so that the…

A: Equation conversion to degree two, free from degree 1.

Q: Prove Proposition 3.4. A monotone function that is defined on an interval is measurable.

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Q: 5. Let A = {41, 49, 67, 71, 73, 76, 81, 88, 111} and R be an equivalence relation defined on A where…

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Q: Arstange the given data in Ascend ing oodes ; 2 = 2,86 86, 89, 87, 88, 90, 94, 9S, 97 . Heee, n = jo…

A: Given data is x=2, 86, 86, 87, 87, 88, 90, 94, 95, 97 We have to find the median of the given data.…

Q: 1. Three factories produce printers to supply the market. Factory A produces 25% of printers are…

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

Q: What do you call a pictorial representation of relationship of two variables in a coordinate plane?…

A: Scatterplot is a pictorial representation of relationship of two variables in a coordinate plane. Or…

Q: 2. Below you are given the graph of the function y=g(x). Use the graph to answer the questions. a)…

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Q: 6x +1 The function f(x) 6x +7 is increasing on the interval and is decreasing on the interval The…

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Q: Simplify using the Logical Equivalence Laws or Algebra of Propositions 24. S v ~(~P ^ ~Q) v ((P v…

A: Solution :       S v ~(~P ^ ~Q) v ((P v Q) ^ S)    ≡ S v (P v Q) v ((P v Q) ^ S) [DeMorgan's law]

Q: Given a line segment with starting point as (0, 0) and ending point as (4, 4). Apply 45 degree…

A: Solution 1: Given old coordinates are xold, yold=4, 4 and angle of rotation is θ=45° Let the new…

Q: 5. Draw a phase line for the autonomous differential cquation and label cach cquilibrium point as a…

A: Note: Critical points of a differential equation x'=f(x) is given by f(x) = 0.

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 6(t-) + o(t -). v(0) =…

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